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 videos you can view on your computer that will help motivate and illustrate the statistical methods of that chapter. MLS 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 MLS 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 MLS

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

  • MYLearningspace introduction

  • 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