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email: Robert Gebotys
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# SK 700/701

 SK 700/701 Introduction to Statistics/Multivariate Analysis Robert Gebotys

INTRODUCTION

Listed below are all the notes and information that will be covered in this course. You will need Acrobat Reader 4.0 software to view and print the notes below. Try the link to the virtual statistics lab to help you understand the material. 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

Math Review

Introduction to SPSS Computer Package - SPSS Manual

LINK TO RICE STATISTICS VIRTUAL LAB

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:

1.23,1.49,1.88,1.104,1.105, (SPSS do example 1)

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:

2.7,2.37,2.65 (use SPSS examples as template, report correlation and r squared),

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:

3.43,3.47 plus SPSS example 1 and 2

CHAPTER 4:
PROBABILITY: THE STUDY OF RANDOMNESS

Key Words
 Probability Uses Practise Assignment Basic rules

Practise Assignment:

4.13

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:

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:

6.6,6.9,6.13,6.45a,6.49 run spss example 1(how many intervals capture the mean)

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:

7.34, 7.42a,c,d(SPSS), 7.75, 7.76b,c(SPSS), 7.97

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:

8.47

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:

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:

10.13, 10.14, 10.15b,c (one SPSS program for all questions)

CHAPTER 11: MULTIPLE REGRESSION

Key Words
 Multiple linear regression Least square estimates Inference and confidence intervals for parameters Prediction intervals ANOVA table - Test of hypothesis R 2 Residuals

SPSS Example One - Part One: Inference for Multiple Regression

SPSS Example One - Part Two: Inference for Multiple Regression

Practise Assignment:

10.8, 10.9a, 10.10 (one SPSS program for all questions)

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:

12.11 (SPSS), 12.32

CHAPTER 13:
TWO-WAY ANALYSIS OF VARIANCE

Key Words
 Two-way ANOVA model Estimates - ANOVA table Inference and INTERACTION Contrasts Multiple comparisons

SPSS Example One

Practise Assignment:

12.1 (SPSS), 12.22

CHAPTER 14: NON PARAMETRIC TESTS

Key Words
 Wilcoxon rank sum test model Estimates - Limitations Wilcoxon signed rank test Median Kruskal Wallis Test

SPSS Example One

SPSS Example Two

SPSS Example Three

Practise Assignment:

12.1 (SPSS), 12.22

CHAPTER 15:
SIMPLE LOGISTIC REGRESSION

Key Words
 logistic model Estimates - odds ratio Inference confidence intervals tests

SPSS Example One

Practise Assignment:

12.1 (SPSS), 12.22

CHAPTER 16: LOOKING AT THE LINE MODEL

SPSS Example One

CHAPTER 17: LOOKING AT THE QUADRATIC MODEL

SPSS Example One

CHAPTER 19: LOOKING AT THE SEVERAL VARIABLE MODEL

SPSS Example One

SPSS DUMMY VARIABLES

SPSS interaction

CHAPTER 20: COMPARING NESTED MODELS

CHAPTER 21: VARIABLE SELECTION PROCEDURES

MULTICOLLINEARITY

CHAPTER 22: RELIABILITY FOR QUESTIONNAIRE DESIGN

CHAPTER 23: VALIDITY FOR QUESTIONNAIRE DESIGN

CHAPTER 24: POWER FOR RESEARCH PLANNING

CHAPTER 25: LOGISTIC MODELS FOR BINARY DATA

CHAPTER 26: DISCRIMINANT ANALYSIS

CHAPTER 27: MULTIVARIATE ANALYSIS OF VARIANCE

CHAPTER 28: CLUSTER ANALYSIS

CHAPTER 29: MULTIDIMENSIONAL SCALING