(Your biggest thrill at Stanford)

Course Objectives

• You will be prepared for more advanced courses in multiple regression and analysis of variance.

Course Objectives

• You will be prepared for more advanced courses in multiple regression and analysis of variance.

• We will help each other so that no one will fail.

Course Objectives

• You will be prepared for more advanced courses in multiple regression and analysis of variance.

• We will help each other so that no one will fail.

• You will fall in love with statistics.

http://www.stanford.edu/~hakuta/Statistics/Syllabus2002.htm

Population

The goal is to describe this as accurately as possible.

Population

Sample

You take a sample.

Population

Sample

X

µ

_

You describe the sample._

Population

SampleA XA

µ

_

SampleB XB

SampleE XE

SampleD XD

SampleC XC

_

_

_

_

The sample mean is just one of many possible sample means drawn from the population, and is rarely equal to the real population value.

30 40 50 60 70 80

30

40

50

60

70

80

MATH

RD

G

30 40 50 60 70 80

35

45

55

65

75

RDG

MA

TH

Y = 17.1853 + 0.665809X

R-Sq = 47.7 %

Regression Plot

Regression

1.0 1.5 2.0

30

40

50

60

70

80

SEX

RD

G

Xboys=53.75_

Xgirls=51.16_

How do we know if the difference between these means,of 53.75 - 51.16 = 2.59, is reliably different from zero?

GAUSS, Carl Friedrich 1777-1855

http://www.york.ac.uk/depts/maths/histstat/people/gauss_note.gif.gz

A demonstration.

Population

Please go to this url

http://star.cde.ca.gov/star2002/district_index.html

Population

Sample

X

µ

_

_

1. Pick a school district that is not a high school district and does not appear to be a “special” district, e.g., a charter school, HomeSmartKids of Knightsen, etc.; beyond that, try to pick one randomly from the list.

2. Report the following:

1. For noneconomically disadvantaged, Grade 2 and Grade 5 Reading Mean Scaled Score.

2. For economically disadvantaged, Grade 2 and Grade 5 Reading Mean Scaled Score.