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Wilfrid Laurier University Faculty of Science
September 2, 2014
 
 
Canadian Excellence

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

Answers to 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)

Answers




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),

Answers




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

Answers




CHAPTER 4:
PROBABILITY: THE STUDY OF RANDOMNESS

Key Words
Probability
Uses
Practise Assignment
Basic rules


Practise Assignment:

4.13

Answers




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:

see answers please

Answers




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)

Answers




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

Answers






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

Answers




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:

see answers please

Answers




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)

Answers






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)

Answers






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

Answers




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

Answers




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

Answers




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

Answers




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