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Wilfrid Laurier University Faculty of Science
July 30, 2014
 
 
Canadian Excellence

PS 292



PS 292 Research Methods II - Introduction to Statistics R. Gebotys


INTRODUCTION

Listed below are all the notes and information that will be covered in this course. You will need Acrobat Reader 7.0 software to view and print the notes below. Try the link to the virtual statistics lab and the textbook companion site,both are given below, to help you master the material.There are java simulations in each chapter that you should try that will help you understand the material and movies you can view on your computer that will help motivate and illustrate the statistical methods of that chapter. WEBCT is software used in this course that will enable you to easily submit your weekly assignments using the web, communicate with your instructor,tas and fellow students via the bulletin board and email,check your grades on assignments and exams ,plus WEBCT allows you to participate in ta led weekly chat rooms on current course material and assignments. Once you have installed the reader click on the Introduction to Course Assignments link. Click here for a short guide on how to use the Adobe Reader and WebCT

Introduction to Course/Assignments

Course Details - Mark breakdown, instructor, office hours

Math Review

Answers to Math Review

Statistical Tables Online

Introduction to SPSS Computer Package - SPSS Manual

LINK TO RICE STATISTICS VIRTUAL LAB

LINK TO TEXTBOOK(Introduction to the Practice of Statistics) COMPANION SITE


CHAPTER 1: LOOKING AT DATA-DISTRIBUTIONS

Key Words
Graphs
Stemplots
Histograms
Mean
Median
Standard deviation
Normal probability calculations

SPSS Example One: descriptive statistics, histogram, boxplot, stem and leaf

SPSS Example Two: normal probability plot

SPSS Example Three: normal calculations

SPSS Example Four: normal calculations

Practise Assignment:

please click on answers for questions and answers

Answers



Try this- Simulation of the mean using the simulation package

Try this- Simulation of two distributions using the simulation package

View the VIDEOS-

1. What Is Statistics?...

2. Picturing Distributions...

3. Describing Distributions...

4. Normal Distributions...

5. Normal Calculations...


CHAPTER 2:
LOOKING AT DATA-RELATIONSHIPS

Key Words
Scatterplots
correlation
Least squares
Residuals
Outliers
Influential observations
Categorical data
Causation

SPSS Example One- Part One: scatterplot

SPSS Example One- Part Two: fit a line to data

Practise Assignment:

please click on answers for questions and answers

Answers



Try this- Simulation of the correlation with line information using the simulation package

Try this- Simulation of regression by eye using the simulation package

Try this- Simulation of restricted range of x using the simulation package

View the VIDEOS-

7. Models for Growth...

8. Describing Relationships...

9. Correlation...


CHAPTER 3:
PRODUCING DATA

Key Words
Internet
Library
Randomization
Sampling design
Sampling distribution
Variability of statistic

SPSS Example One: how to select a random sample

SPSS Example Two: sampling distribution of the mean - any population

SPSS Example Three: sampling distribution of a proportion - any population

Practise Assignment:

please click on answers for questions and answers

Answers



Try this- Simulation of the sampling distribution using the simulation package

View the VIDEOS-

11. The Question of Causation...

12. Experimental Design...

13. Blocking and Sampling...

14. Samples and Surveys...


CHAPTER 4:
PROBABILITY: THE STUDY OF RANDOMNESS

Key Words
Probability
Uses
Practise Assignment
Basic rules

Practise Assignment:

please click on answers for questions and answers

Answers



View the VIDEO-

15. What Is Probability?


CHAPTER 5: FROM PROBABILITY TO INFERENCE

Key Words
Sampling distribution for counts, proportions and for the mean

SPSS Example One: sampling distribution of the mean - normal population

Practise Assignment:

please see answers

Answers



View the VIDEOS-

17. Binomial Distributions...

18. The Sample Mean and Control Charts...


CHAPTER 6:
INTRODUCTION TO INFERENCE

Key Words
Confidence intervals
Behavior test of significance
Use of tests
Power of test

SPSS Example One: confidence interval simulation

Practise Assignment:

please click on answers for questions and answers

Answers



Try this- Simulation of the confidence interval using the simulation package

Try this- Simulation of the confidence interval for a proportion using the simulation package

View the VIDEOS-

19. Confidence Intervals...

20. Significance Tests


CHAPTER 7:
INFERENCE FOR DISTRIBUTIONS

Key Words
Inference for mean
Two means
Confidence intervals
z & t tests
F test for variances
X 2 for variance

SPSS Example One: one sample t - test

SPSS Example Two: paired sample t - test

SPSS Example Three: two independent samples t - test

Practise Assignment:

please click on answers for questions and answers

Answers





Try this- Simulation of the independent and correlated t-tests using the simulation package

Try this- Simulation of the independent and correlated t-tests using the simulation package

View the VIDEOS-

21. Inference for One Mean

22. Comparing Two Means


CHAPTER 8: INFERENCE FOR PROPORTIONS
Key Words

Inference for single
Two proportions
Confidence intervals
Tests of significance
X 2 test for model fit

Practise Assignment:

please click on answers for questions and answers

Answers



Try this- Simulation of the chi square test of goodness of fit using the simulation package

View the VIDEO-

23. Inference for Proportions


CHAPTER 9:
INFERENCE FOR TWO-WAY TABLES

Key Words
Inference for two-way tables
Hypothesis tests
X2 test
Residuals
 Expected value

SPSS Example One: chi-square test of independence

Practise Assignment:

please see answers

Answers



Try this- Simulation of the chi square test of independence/proportion using the simulation package

View the VIDEOS-

24. Inference for Two-Way Tables....

11. The Question of Causation


CHAPTER 10: INFERENCE FOR REGRESSION

Key Words
Simple linear regression
Least square estimate
Inference and confidence intervals for parameters
Prediction intervals
ANOVA table
R 2
Residuals

SPSS Example One - Part One: Inference for Regression

SPSS Example One - Part Two: Inference for Regression

Practise Assignment:

please click on answers for questions and answers

Answers





Try this- Simulation of transformations of the data and their impact on linearizing the data using the simulation package

View the VIDEO-

25. Inference for Relationships


CHAPTER 12:
ONE-WAY ANALYSIS OF VARIANCE

Key Words
One-way ANOVA model
Estimates - ANOVA table
Inference
Contrasts
Multiple comparisons

SPSS Example One

Practise Assignment:

please click on answers for questions and answers

Answers



Try this- Simulation of the one way anova using the simulation package

View the VIDEO-

26. Case Study