probability and statistics chapter 7: introduction to statistical ......probability and statistics...
TRANSCRIPT
![Page 1: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/1.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 120
![Page 2: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/2.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 121
![Page 3: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/3.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 122
What can we do with hypothesis testing?
![Page 4: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/4.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 123
4.3 Assumptions about hypothesis tests
![Page 5: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/5.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 124
Assumptions about the population
![Page 6: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/6.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 125
Assumptions about the population
![Page 7: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/7.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 126
![Page 8: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/8.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 127
![Page 9: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/9.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 128
Assumptions about residuals (see also Chapter 8)
![Page 10: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/10.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 129
Assumptions about the nature of the sample
![Page 11: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/11.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 130
Assumptions about variables, measurements and models
![Page 12: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/12.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 131
4.4Examples
Coca-cola example
![Page 13: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/13.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 132
![Page 14: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/14.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 133
More coca-cola
![Page 15: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/15.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 134
Ethnic example
![Page 16: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/16.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 135
Politics example
![Page 17: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/17.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 136
Decision making
![Page 18: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/18.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 137
4.5 Use and abuse of tests
Causes about significance tests
![Page 19: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/19.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 138
Practical significance
![Page 20: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/20.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 139
Don’t ignore lack of significance
![Page 21: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/21.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 140
Interpreting effect size: it is all about context
![Page 22: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/22.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 141
The power of a test
![Page 23: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/23.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 142
![Page 24: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/24.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 143
![Page 25: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/25.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 144
Factors affecting power: size of the effect
![Page 26: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/26.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 145
![Page 27: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/27.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 146
![Page 28: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/28.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 147
![Page 29: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/29.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 148
Relation between power, effect size, sample size and significance level
![Page 30: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/30.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 149
Don’t panic: There exist alternatives when I cannot get more samples
![Page 31: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/31.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 150
Type I and Type II errors
![Page 32: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/32.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 151
![Page 33: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/33.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 152
4.6 Multiple testing
![Page 34: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/34.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 153
![Page 35: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/35.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 154
![Page 36: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/36.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 155
![Page 37: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/37.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 156
![Page 38: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/38.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 157
5 Inference for distributions
5.1 Inference for the mean of a population
Introduction
![Page 39: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/39.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 158
When σ is unknown
![Page 40: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/40.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 159
Standard deviation s – standard error
![Page 41: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/41.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 160
The t-distribution
![Page 42: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/42.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 161
![Page 43: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/43.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 162
Standardizing data before using Table D
![Page 44: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/44.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 163
![Page 45: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/45.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 164
![Page 46: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/46.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 165
The one-sample t-confidence interval
![Page 47: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/47.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 166
![Page 48: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/48.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 167
![Page 49: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/49.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 168
![Page 50: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/50.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 169
The one-sample t-test
![Page 51: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/51.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 170
![Page 52: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/52.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 171
![Page 53: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/53.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 172
![Page 54: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/54.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 173
![Page 55: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/55.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 174
![Page 56: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/56.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 175
Matched pairs t-procedures
![Page 57: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/57.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 176
![Page 58: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/58.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 177
![Page 59: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/59.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 178
![Page 60: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/60.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 179
![Page 61: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/61.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 180
![Page 62: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/62.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 181
Robustness
![Page 63: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/63.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 182
Power of the t-test
![Page 64: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/64.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 183
![Page 65: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/65.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 184
![Page 66: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/66.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 185
Inference for non-normal distributions
![Page 67: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/67.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 186
Transforming data
![Page 68: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/68.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 187
Non-parametric method: the sign test
![Page 69: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/69.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 188
5.2 Comparing two means
Comparing two samples
![Page 70: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/70.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 189
Two-sample z-statistic
![Page 71: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/71.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 190
Two independent samples t-distribution
![Page 72: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/72.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 191
![Page 73: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/73.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 192
Two-sample t-significance test
![Page 74: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/74.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 193
![Page 75: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/75.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 194
![Page 76: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/76.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 195
Two-sample t-confidence interval
![Page 77: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/77.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 196
Common mistake
![Page 78: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/78.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 197
![Page 79: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/79.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 198
Robustness
![Page 80: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/80.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 199
Details of the two sample t procedures
![Page 81: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/81.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 200
![Page 82: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/82.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 201
![Page 83: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/83.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 202
Pooled two-sample procedures
![Page 84: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/84.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 203
![Page 85: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/85.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 204
Which type of test? One sample, two samples, paired samples?
![Page 86: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/86.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 205
5.3 Optional topics in comparing distributions
Inference for population spread
![Page 87: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/87.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 206
![Page 88: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/88.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 207
![Page 89: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/89.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 208
![Page 90: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/90.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 209
Power of two-sample t-test
![Page 91: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/91.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 210
Power calculations using a non-central t-distribution
![Page 92: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/92.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 211
![Page 93: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/93.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 212
![Page 94: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/94.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 213
![Page 95: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/95.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 214
6 Inference for proportions
6.1 inference for a single proportion
Sampling distribution of a sample proportion
![Page 96: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/96.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 215
Conditions for inference on p
![Page 97: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/97.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 216
Large-sample confidence interval for p
![Page 98: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/98.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 217
![Page 99: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/99.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 218
![Page 100: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/100.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 219
![Page 101: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/101.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 220
“Plus four” confidence interval for p
![Page 102: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/102.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 221
![Page 103: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/103.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 222
Significance test for p
![Page 104: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/104.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 223
![Page 105: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/105.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 224
![Page 106: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/106.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 225
![Page 107: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/107.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 226
![Page 108: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/108.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 227
Interpretation: magnitude versus reliability of effects
![Page 109: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/109.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 228
Sample size for a desired margin of error
![Page 110: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/110.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 229
![Page 111: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/111.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 230
6.2 Comparing two proportions
Comparing two independent samples
![Page 112: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/112.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 231
Large-sample confidence interval for two proportions
![Page 113: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/113.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 232
![Page 114: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/114.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 233
“Plus four” confidence interval for two proportions
![Page 115: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/115.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 234
![Page 116: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/116.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 235
Test of significance
![Page 117: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/117.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 236
![Page 118: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/118.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 237
Relative risk
![Page 119: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/119.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 238
7 Analysis of two-way tables
7.1 Inference for two-way tables
Hypothesis: no association
![Page 120: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/120.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 239
Expected cell count
![Page 121: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/121.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 240
![Page 122: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/122.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 241
![Page 123: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/123.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 242
The chi-square test
![Page 124: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/124.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 243
![Page 125: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/125.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 244
When is it safe to use a chi-square test?
![Page 126: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/126.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 245
Chi-square test versus z-test for two proportions
![Page 127: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/127.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 246
![Page 128: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/128.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 247
![Page 129: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/129.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 248
![Page 130: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/130.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 249
![Page 131: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/131.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 250
![Page 132: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/132.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 251
![Page 133: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/133.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 252
7.2 Formulas and models for two-way tables and Goodness-of-fit
Computations for two-way tables
![Page 134: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/134.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 253
Computing conditional distribution
![Page 135: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/135.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 254
![Page 136: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/136.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 255
Computing expected counts
![Page 137: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/137.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 256
![Page 138: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/138.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 257
Computing the chi-square statistic
![Page 139: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/139.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 258
![Page 140: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/140.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 259
Finding the p-value with Table F
![Page 141: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/141.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 260
![Page 142: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/142.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 261
![Page 143: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/143.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 262
Interpreting the chi-square output
![Page 144: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/144.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 263
Models for two-way tables
![Page 145: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/145.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 264
Comparing several populations
![Page 146: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/146.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 265
![Page 147: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/147.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 266
![Page 148: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/148.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 267
![Page 149: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/149.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 268
![Page 150: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/150.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 269
Testing for independence
![Page 151: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/151.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 270
![Page 152: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/152.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 271
![Page 153: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/153.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 272
![Page 154: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/154.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 273
Testing for Goodness-of-fit
![Page 155: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/155.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 274
![Page 156: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/156.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 275
The chi-square goodness-of-fit test
![Page 157: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/157.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 276
![Page 158: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/158.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 277
Cautionary note about software
![Page 159: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/159.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 278
8 How to select the appropriate test?
(http://www.graphpad.com/www/book/choose.htm)
![Page 160: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/160.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 279
![Page 161: Probability and Statistics Chapter 7: Introduction to Statistical ......Probability and Statistics Chapter 7: Introduction to Statistical Inference K Van Steen 148 Relation between](https://reader035.vdocuments.net/reader035/viewer/2022062403/61138dbfddcfeb272e027bf9/html5/thumbnails/161.jpg)
Probability and Statistics Chapter 7: Introduction to Statistical Inference
K Van Steen 280
References:
• Mood
• Freeman IPS slides 4