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
Introduction to SPSS Computer Package - SPSS Manual
LINK TO RICE STATISTICS VIRTUAL LAB
CHAPTER 1: LOOKING AT DATA-DISTRIBUTIONS
Key Words
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Graphs
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Stemplots
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Histograms
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Mean
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Median
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Standard
deviation
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Normal probability
calculations
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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
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Scatterplots
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correlation
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Least squares
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Residuals
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Outliers
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Influential
observations
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Categorical data
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Causation
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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
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Internet
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Library
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Randomization
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Sampling design
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Sampling distribution
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Variability of
statistic
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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
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Probability
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Uses
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Practise
Assignment
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Basic rules
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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:
see answers please
CHAPTER 6: INTRODUCTION TO INFERENCE
Key Words
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Confidence
intervals
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Behavior test of
significance
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Use of tests
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Power of test
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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
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Inference for
mean
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Two means
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Confidence
intervals
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z & t tests
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F test for
variances
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X 2 for
variance
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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
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Inference for
single
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Two proportions
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Confidence
intervals
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Tests of
significance
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X 2 test for model
fit
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Practise Assignment:
8.47
CHAPTER 9: INFERENCE FOR TWO-WAY TABLES
Key Words
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Inference for two-way
tables
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Hypothesis tests
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X2 test
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Residuals
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Expected
value
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SPSS Example One: chi-square test of independence
Practise Assignment:
see answers please
CHAPTER 10: INFERENCE FOR REGRESSION
Key Words
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Simple linear
regression
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Least square
estimate
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Inference and confidence
intervals for parameters
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Prediction
intervals
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ANOVA table
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R
2
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Residuals
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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
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Multiple linear
regression
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Least square
estimates
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Inference and confidence
intervals for parameters
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Prediction
intervals
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ANOVA table - Test of hypothesis
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R
2
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Residuals
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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
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One-way ANOVA
model
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Estimates - ANOVA
table
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Inference
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Contrasts
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Multiple
comparisons
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Practise Assignment:
12.11 (SPSS), 12.32
CHAPTER 13: TWO-WAY ANALYSIS OF VARIANCE
Key Words
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Two-way ANOVA
model
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Estimates - ANOVA
table
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Inference and INTERACTION
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Contrasts
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Multiple
comparisons
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Practise Assignment:
12.1 (SPSS), 12.22
Answers
CHAPTER 14: NON PARAMETRIC TESTS
Key Words
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Wilcoxon rank sum test
model
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Estimates - Limitations
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Wilcoxon signed rank test
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Median
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Kruskal Wallis Test
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SPSS Example One
Practise Assignment:
12.1 (SPSS), 12.22
CHAPTER 15: SIMPLE LOGISTIC REGRESSION
Key Words
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logistic
model
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Estimates - odds ratio
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Inference
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confidence intervals
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tests
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SPSS Example One
Practise Assignment:
12.1 (SPSS), 12.22
Answers
CHAPTER 16: LOOKING AT THE LINE MODEL
CHAPTER 17: LOOKING AT THE QUADRATIC MODEL
CHAPTER 19: LOOKING AT THE SEVERAL VARIABLE MODEL
CHAPTER 20: COMPARING NESTED MODELS
CHAPTER 21: VARIABLE SELECTION PROCEDURES
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
