determination of sample size: a review of statistical theory
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Determination of Sample Size: A Review of Statistical Theory. Chapter 13. Sample v. Population. Inferential Descriptive Sample statistics Population parameters. Tables. Frequency distribution Percentage distribution Probability Proportion. Measures of Central Tendency. Mean Median - PowerPoint PPT PresentationTRANSCRIPT
Determination of Sample Determination of Sample Size: A Review of Size: A Review of Statistical TheoryStatistical Theory
Chapter 13Chapter 13
Sample v. PopulationSample v. Population
InferentialInferential DescriptiveDescriptive Sample statisticsSample statistics Population parametersPopulation parameters
TablesTables
Frequency distributionFrequency distribution Percentage distributionPercentage distribution ProbabilityProbability ProportionProportion
Measures of Central TendencyMeasures of Central Tendency
MeanMean MedianMedian ModeMode
Measures of DispersionMeasures of Dispersion
RangeRange– FormulaFormula
Deviation (Variance)Deviation (Variance)– FormulaFormula
Standard DeviationStandard Deviation– FormulaFormula
The Normal DistributionThe Normal Distribution
Three CharacteristicsThree Characteristics Standardized Normal DistributionStandardized Normal Distribution
– Why do I have to know this?Why do I have to know this?– What does it mean?What does it mean?– VariableVariable– FormulaFormula– ExampleExample
Population Distribution, Sample Population Distribution, Sample Distribution, and Sampling Distribution, and Sampling
DistributionDistribution Population: Population: µµ ơơ Sample: Sample: SS
Sampling DistributionSampling Distribution– Standard Error of the MeanStandard Error of the Mean– SymbolSymbol– FormulaFormula
Central Limit TheoremCentral Limit Theorem
As sample size increases, the As sample size increases, the distribution of the mean, of any distribution of the mean, of any sample approaches a normal sample approaches a normal distribution.distribution.
Estimation of ParametersEstimation of Parameters
Point EstimatesPoint Estimates– What is it?What is it?
Confidence IntervalsConfidence Intervals– Question #10, page 343Question #10, page 343
Sample Size for MeansSample Size for Means
Sample ErrorSample Error– FormulaFormula– FactorsFactors
VarianceVarianceMagnitude of error (confidence interval)Magnitude of error (confidence interval)Confidence levelConfidence level
Sample Size for MeansSample Size for Means
FormulaFormula Question #11 page 343Question #11 page 343 Question #12 page 343Question #12 page 343
Sample Size for ProportionsSample Size for Proportions
Standard Error for ProportionStandard Error for Proportion– FormulaFormula
Confidence intervalConfidence interval– FormulaFormula
Sample SizeSample Size– FormulaFormula