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3. TABLE OF CONTENTS
i
Table of Contents
LESSON 0: COURSE INTRODUCTION
.................................................. 0-1
LESSON 1: INTRODUCTION TO STATISTICAL ANALYSIS
............. 1-1
LESSON 2: UNDERSTANDING DATA DISTRIBUTIONS –
THEORY 2-1
LESSON 3: DATA DISTRIBUTIONS FOR CATEGORICAL
VARIABLES
............................................................................................
3-1
0.1 INTRODUCTION
...............................................................................................
.................... 0-1
0.2 COURSE OBJECTIVES
...............................................................................................
........... 0-1
0.3 ABOUT SPSS
...............................................................................................
4. ....................... 0-1
0.4 SUPPORTING MATERIALS
...............................................................................................
.... 0-2
0.5 COURSE ASSUMPTIONS
...............................................................................................
....... 0-2
1.1 OBJECTIVES
...............................................................................................
......................... 1-1
1.2 INTRODUCTION
...............................................................................................
.................... 1-1
1.3 BASIC STEPS OF THE RESEARCH PROCESS
......................................................................... 1-1
1.4 POPULATIONS AND SAMPLES
.............................................................................................
1-3
1.5 RESEARCH DESIGN
....................................................................................... ........
.............. 1-3
1.6 INDEPENDENT AND DEPENDENT VARIABLES
..................................................................... 1-4
1.7 NOTE ABOUT DEFAULT STARTUP FOLDER AND
VARIABLE DISPLAY IN DIALOG BOXES .. 1-4
1.8 LESSON SUMMARY
...............................................................................................
.............. 1-5
1.9 LEARNING ACTIVITY
...............................................................................................
........... 1-6
2.1 OBJECTIVES
...............................................................................................
......................... 2-1
5. INTRODUCTION
...............................................................................................
.......................... 2-1
2.2 LEVELS OF MEASUREMENT AND STATISTICAL
METHODS ................................................. 2-1
2.3 MEASURES OF CENTRAL TENDENCY AND
DISPERSION ..................................................... 2-5
2.4 NORMAL DISTRIBUTIONS
...............................................................................................
.... 2-7
2.5 STANDARDIZED (Z-) SCORES
.............................................................................................
2-8
2.6 REQUESTING STANDARDIZED (Z-)
SCORES...................................................................... 2-10
2.7 STANDARDIZED (Z-) SCORES OUTPUT
............................................................................. 2-10
2.8 PROCEDURE: DESCRIPTIVES FOR STANDARDIZED (Z-
) SCORES ...................................... 2-10
2.9 DEMONSTRATION: DESCRIPTIVES FOR Z-
SCORES............................................................ 2-11
2.10 LESSON SUMMARY
...............................................................................................
.......... 2-12
2.11 LEARNING ACTIVITY
...............................................................................................
....... 2-13
3.1 OBJECTIVES
...............................................................................................
......................... 3-1
3.2 INTRODUCTION
...............................................................................................
.................... 3-1
3.3 USING FREQUENCIES TO SUMMARIZE NOMINAL AND
ORDINAL VARIABLES .................... 3-2
6. 3.4 REQUESTING FREQUENCIES
...............................................................................................
3-3
3.5 FREQUENCIES OUTPUT
...............................................................................................
........ 3-3
3.6 PROCEDURE: FREQUENCIES
...............................................................................................
3-4
3.7 DEMONSTRATION: FREQUENCIES
....................................................................................... 3-6
3.8 LESSON SUMMARY
...............................................................................................
............ 3-10
3.9 LEARNING ACTIVITY
...............................................................................................
......... 3-10
INTRODUCTION TO STATISTICAL ANALYSIS USING IBM
SPSS STATISTICS
ii
LESSON 4: DATA DISTRIBUTIONS FOR SCALE
VARIABLES ......... 4-1
LESSON 5: MAKING INFERENCES ABOUT POPULATIONS
FROM
SAMPLES
............................................................................................
5-1
8. DESCRIPTIVES......................................................................
............. 4-12
4.13 SUMMARIZING SCALE VARIABLES USING THE
EXPLORE PROCEDURE ........................... 4-13
4.14 REQUESTING EXPLORE
...............................................................................................
.... 4-13
4.15 PROCEDURE: EXPLORE
...............................................................................................
.... 4-16
4.16 DEMONSTRATION: EXPLORE
...........................................................................................
4-19
4.17 LESSON SUMMARY
...............................................................................................
.......... 4-24
4.18 LEARNING ACTIVITY
...............................................................................................
....... 4-25
5.1 OBJECTIVES
...............................................................................................
......................... 5-1
5.2 INTRODUCTION
...............................................................................................
.................... 5-1
5.3 BASICS OF MAKING INFERENCES ABOUT
POPULATIONS FROM SAMPLES .......................... 5-1
5.4 INFLUENCE OF SAMPLE SIZE
...............................................................................................
5-2
5.5 HYPOTHESIS TESTING
...............................................................................................
........ 5-10
5.6 THE NATURE OF PROBABILITY
......................................................................................... 5-
9. 11
5.7 TYPES OF STATISTICAL ERRORS
....................................................................................... 5-11
5.8 STATISTICAL SIGNIFICANCE AND PRACTICAL
IMPORTANCE ............................................ 5-12
5.9 LESSON SUMMARY
...............................................................................................
............ 5-13
5.10 LEARNING ACTIVITY
...............................................................................................
....... 5-13
TABLE OF CONTENTS
iii
LESSON 7: THE INDEPENDENT- SAMPLES T TEST
.......................... 7-1
LESSON 8: THE PAIRED-SAMPLES T TEST
........................................ 8-1
6.1 OBJECTIVES
...............................................................................................
......................... 6-1
6.2 INTRODUCTION
...............................................................................................
.................... 6-1
6.3
CROSSTABS...........................................................................
.............................................. 6-2
6.4 CROSSTABS
ASSUMPTIONS......................................................................
10. ........................... 6-3
6.5 REQUESTING CROSSTABS
...............................................................................................
.... 6-3
6.6 CROSSTABS OUTPUT
...............................................................................................
........... 6-3
6.7 PROCEDURE: CROSSTABS
...............................................................................................
.... 6-4
6.8 EXAMPLE: CROSSTABS
...............................................................................................
........ 6-5
6.9 CHI-SQUARE TEST
...............................................................................................
............... 6-7
6.10 REQUESTING THE CHI-SQUARE TEST
............................................................................... 6-8
6.11 CHI-SQUARE OUTPUT
...............................................................................................
........ 6-8
6.12 PROCEDURE: CHI-SQUARE TEST
...................................................................................... 6-9
6.13 EXAMPLE: CHI-SQUARE TEST
........................................................................................ 6-
10
6.14 CLUSTERED BAR CHART
...............................................................................................
. 6-11
6.15 REQUESTING A CLUSTERED BAR CHART WITH
CHART BUILDER .................................. 6-12
6.16 CLUSTERED BAR CHART FROM CHART BUILDER
OUTPUT ............................................ 6-12
6.17 PROCEDURE: CLUSTERED BAR CHART WITH CHART
BUILDER ..................................... 6-13
6.18 EXAMPLE: CLUSTERED BAR CHART WITH CHART
11. BUILDER ......................................... 6-15
6.19 ADDING A CONTROL VARIABLE
..................................................................................... 6-16
6.20 REQUESTING A CONTROL VARIABLE
............................................................................. 6-17
6.21 CONTROL VARIABLE OUTPUT
........................................................................................ 6-
17
6.22 PROCEDURE: ADDING A CONTROL VARIABLE
............................................................... 6-18
6.23 EXAMPLE: ADDING A CONTROL VARIABLE
................................................................... 6-19
6.24 EXTENSIONS: BEYOND CROSSTABS
............................................................................... 6-22
6.25 ASSOCIATION MEASURES
...............................................................................................
6-23
6.26 LESSON SUMMARY
...............................................................................................
.......... 6-23
6.27 LEARNING ACTIVITY
...............................................................................................
....... 6-24
7.1 OBJECTIVES
...............................................................................................
......................... 7-1
7.2 INTRODUCTION
...............................................................................................
.................... 7-1
7.3 THE INDEPENDENT-SAMPLES T TEST
................................................................................ 7-1
7.4 INDEPENDENT-SAMPLES T TEST ASSUMPTIONS
................................................................ 7-2
7.5 REQUESTING THE INDEPENDENT-SAMPLES T TEST
........................................................... 7-2
12. 7.6 INDEPENDENT-SAMPLES T TEST OUTPUT
.......................................................................... 7-3
7.7 PROCEDURE: INDEPENDENT-SAMPLES T TEST
.................................................................. 7-5
7.8 DEMONSTRATION: INDEPENDENT-SAMPLES T TEST
.......................................................... 7-6
7.9 ERROR BAR CHART
...............................................................................................
........... 7-10
7.10 REQUESTING AN ERROR BAR CHART WITH CHART
BUILDER ........................................ 7-11
7.11 ERROR BAR CHART OUTPUT
.......................................................................................... 7-
11
7.12 DEMONSTRATION: ERROR BAR CHART WITH CHART
BUILDER .................................... 7-12
7.13 LESSON SUMMARY
...............................................................................................
.......... 7-14
7.14 LEARNING ACTIVITY
...............................................................................................
....... 7-14
INTRODUCTION TO STATISTICAL ANALYSIS USING IBM
SPSS STATISTICS
iv
LESSON 9: ONE-WAY ANOVA
............................................................... 9-1
LESSON 10: BIVARIATE PLOTS AND CORRELATIONS FOR
13. SCALE
VARIABLES
..........................................................................................
10-1
8.1 OBJECTIVES
...............................................................................................
......................... 8-1
8.2 INTRODUCTION
...............................................................................................
.................... 8-1
8.3 THE PAIRED-SAMPLES T TEST
............................................................................................
8-1
8.4 ASSUMPTIONS FOR THE PAIRED-SAMPLES T TEST
............................................................. 8-2
8.5 REQUESTING A PAIRED-SAMPLES T TEST
.......................................................................... 8-3
8.6 PAIRED-SAMPLES T TEST OUTPUT
..................................................................................... 8-3
8.7 PROCEDURE: PAIRED-SAMPLES T TEST
.............................................................................. 8-4
8.8 DEMONSTRATION: PAIRED-SAMPLES T TEST
..................................................................... 8-4
8.9 LESSON SUMMARY
...............................................................................................
.............. 8-6
8.10 LEARNING ACTIVITY
...............................................................................................
......... 8-6
9.1 OBJECTIVES
...............................................................................................
......................... 9-1
9.2 INTRODUCTION
...............................................................................................
14. .................... 9-1
9.3 ONE-WAY ANOVA
...............................................................................................
............... 9-1
9.4 ASSUMPTIONS OF ONE-WAY ANOVA
............................................................................... 9-2
9.5 REQUESTING ONE-WAY ANOVA
...................................................................................... 9-2
9.6 ONE-WAY ANOVA OUTPUT
..............................................................................................
9-3
9.7 PROCEDURE: ONE-WAY ANOVA
...................................................................................... 9-4
9.8 DEMONSTRATION: ONE-WAY ANOVA
............................................................................. 9-6
9.9 POST HOC TESTS WITH A ONE-WAY ANOVA
................................................................... 9-8
9.10 REQUESTING POST HOC TESTS WITH A ONE-WAY
ANOVA ........................................... 9-9
9.11 POST HOC TESTS
OUTPUT.................................................................................
................ 9-9
9.12 PROCEDURE: POST HOC TESTS WITH A ONE-WAY
ANOVA.......................................... 9-10
9.13 DEMONSTRATION: POST HOC TESTS WITH A ONE-
WAY ANOVA ................................. 9-12
9.14 ERROR BAR CHART WITH CHART BUILDER
................................................................... 9-14
9.15 REQUESTING AN ERROR BAR CHART WITH CHART
BUILDER ........................................ 9-14
9.16 ERROR BAR CHART OUTPUT
.......................................................................................... 9-
14
9.17 PROCEDURE: ERROR BAR CHART WITH CHART
BUILDER .............................................. 9-15
9.18 DEMONSTRATION: ERROR BAR CHART WITH CHART
19. ........................................................................................ 13-
1
13.2 COURSE REVIEW: DISCUSSION QUESTIONS
................................................................... 13-1
13.3 NEXT STEPS
...............................................................................................
..................... 13-2
1.1 INTRODUCTION
...............................................................................................
................... A-1
1.2 REFERENCES
...............................................................................................
....................... A-1
INTRODUCTION TO STATISTICAL ANALYSIS USING IBM
SPSS STATISTICS
vi
COURSE INTRODUCTION
0-1
Lesson 0: Course Introduction
0.1 Introduction
20. The focus of this two-day course is an introduction to the
statistical component of IBM®
SPSS® Statistics. This is an application-oriented course and the
approach is practical. You'll take a
look at several statistical techniques and discuss situations in
which you would use each technique,
the assumptions made by each method, how to set up the
analysis using PASW®
0.2 Course Objectives
Statistics, as well
as how to interpret the results. This includes a broad range of
techniques for exploring and
summarizing data, as well as investigating and testing
underlying relationships. You will gain an
understanding of when and why to use these various techniques
as well as how to apply them with
confidence, and interpret their output, and graphically display
the results.
After completing this course students will be able to:
• Perform basic statistical analysis using selected statistical
techniques with PASW Statistics
To support the achievement of this primary objective, students
will also be able to:
• Explain the basic elements of quantitative research and issues
that should be considered in
data analysis
• Determine the level of measurement of variables and obtain
appropriate summary statistics
21. based on the level of measurement
• Run the Frequencies procedure to obtain appropriate summary
statistics for categorical
variables
• Request and interpret appropriate summary statistics for scale
variables
• Explain how to make inferences about populations from
samples
• Perform crosstab analysis on categorical variables
• Perform a statistical test to determine whether there is a
statistically significant relationship
between categorical variables
• Perform a statistical test to determine whether there is a
statistically significant difference
between two groups on a scale variable
• Perform a statistical test to determine whether there is a
statistically significant difference
between the means of two scale variables
• Perform a statistical test to determine whether there is a
statistically significant difference
among three or more groups on a scale dependent variable
• Perform a statistical test to determine whether two scale
variables are correlated (related)
• Perform linear regression to determine whether one or more
variables can significantly
predict or explain a dependent variable
• Perform non-parametric tests on data that don’t meet the
assumptions for standard statistical
22. tests
0.3 About SPSS
SPSS® Inc., an IBM® Company is a leading global provider of
predictive analytics software and
solutions. The Company’s complete portfolio of products - data
collection, statistics, modeling and
deployment - captures people's attitudes and opinions, predicts
outcomes of future customer
interactions, and then acts on these insights by embedding
analytics into business processes. SPSS
solutions address interconnected business objectives across an
entire organization by focusing on
the convergence of analytics, IT architecture and business
process. Commercial, government and
academic customers worldwide rely on SPSS technology as a
competitive advantage in attracting,
INTRODUCTION TO STATISTICAL ANALYSIS WITH IBM
SPSS STATISTICS
0-2
retaining and growing customers, while reducing fraud and
mitigating risk. SPSS was acquired by
IBM®
0.4 Supporting Materials
in October 2009. For more information, visit
http://www.spss.com.
23. We use several datasets in the course because no one data file
contains all the types of variables
and relationships between them that are ideal for every
technique we discuss. As much as possible,
we try to minimize the need within one lesson to switch
between datasets, but the first priority is to
use appropriate data for …
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