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Summary
Summary
The second edition of Interpreting Quantitative Data with IBM SPSS Statistics is an invaluable resource for students analysing quantitative data for the first time. The book clearly sets out a range of statistical techniques and their common applications, explaining their logic and links to the research process. It also shows how SPSS can be used as a tool to aid analysis.
Key features of the second edition include:
- new chapters on one-way and two-way ANOVA, the Chi-square test and linear regression.
- SPSS lab sessions following each chapter which demonstrate how SPSS can be used in practice
- sets of exercises and ′real-life′ examples to aid teaching and learning
- lists of key terms to aid revision and further reading to enhance students′ understanding
- an improved text design making the book easier to navigate
- a companion website with answers to the labs and exercises, along with additional data sets and powerpoint slides
Author Notes
Rachad Antonius holds a PhD in Sociology and an MSc in Mathematics. He teaches Sociology at the Universit du Qubec Montral (UQAM) at the rank of Full Professor, and is the Deputy-Director of its Research Chair on Immigration, Ethnicity and Citizenship.
Table of Contents
About the author | p. xiii |
Foreword to the instructor | p. xiiv |
Foreword to the student | p. xxii |
Acknowledgments | p. xxviii |
Part I Introduction to Quantitative Methods | p. 1 |
1 The basic language of statistics | p. 3 |
Introduction: Social sciences and quantitative methods | p. 3 |
Data files | p. 4 |
The discipline of statistics | p. 9 |
Populations, samples, and units | p. 10 |
Descriptive statistics | p. 11 |
Inferential statistics | p. 12 |
Variables and measurement | p. 12 |
Importance of the level of measurement | p. 19 |
Concepts, dimensions, and indicators | p. 20 |
Validity and reliability | p. 21 |
Summary | p. 22 |
Key words | p. 23 |
Exercises | p. 24 |
SPSS tutorial: Getting started with SPSS | p. 26 |
2 The research process | p. 32 |
Main steps in social research | p. 33 |
The research object | p. 34 |
Examining the problematics of the issue | p. 34 |
The general research question | p. 35 |
The literature review | p. 36 |
The theoretical framework and the specific research question | p. 37 |
The research hypothesis | p. 38 |
The research design | p. 39 |
Data collection | p. 43 |
Data analysis | p. 43 |
Interpretation of results | p. 44 |
General conclusions and further questions | p. 44 |
Summary | p. 44 |
Key words | p. 46 |
Exercises | p. 46 |
SPSS tutorial: Becoming familiar with SPSS | p. 46 |
Part II Descriptive Statistics | p. 49 |
3 Univariate descriptive statistics | p. 51 |
Introduction | p. 51 |
Measures of central tendency | p. 53 |
For qualitative variables | p. 53 |
For quantitative variables | p. 55 |
Measures of dispersion | p. 64 |
For qualitative variables | p. 64 |
For quantitative variables | p. 65 |
Measures of position | p. 68 |
Other measures | p. 69 |
Ratios | p. 70 |
Percentages and proportions | p. 70 |
Methodological issues | p. 71 |
The definition of the categories over which the counting is done | p. 71 |
Outliers | p. 71 |
Summary | p. 71 |
Key words | p. 73 |
Exercises | p. 73 |
SPSS tutorial: Exploring descriptive statistics | p. 78 |
4 Graphical representations | p. 87 |
Introduction | p. 87 |
Bar charts | p. 88 |
Pie charts | p. 93 |
Histograms | p. 94 |
Area as a measure of the proportion of data | p. 95 |
Drawing a histogram manually | p. 95 |
Frequency polygons and density curves | p. 98 |
Histogram or bar chart? | p. 99 |
Box plots | p. 101 |
Line charts | p. 101 |
Stem-and-leaf plots | p. 103 |
Scatter diagrams | p. 104 |
The general shape of a distribution | p. 105 |
Symmetry | p. 105 |
Kurtosis | p. 106 |
Summary | p. 107 |
Key words | p. 108 |
SPSS tutorial | p. 108 |
Bar charts | p. 109 |
Pie charts | p. 109 |
Histograms | p. 110 |
Box plots | p. 110 |
Part III Methodological Tools | p. 113 |
5 Creating new variables with SPSS | p. 115 |
Main commands for creating variables in SPSS | p. 115 |
The Compute command | p. 116 |
The Recode command | p. 122 |
The Select Cases submenu | p. 126 |
The Sort Cases command | p. 129 |
The Aggregate procedure | p. 130 |
Getting help in SPSS | p. 132 |
Summary | p. 133 |
Key words | p. 134 |
SPSS exercises and tutorial | p. 134 |
6 Normal distributions and sampling distributions | p. 135 |
Introduction | p. 135 |
Properties of normal distributions | p. 137 |
Areas under the curve, proportions of data, and percentages of data | p. 139 |
Using the table of areas under the normal curve | p. 140 |
Values of z used frequently | p. 142 |
Numerical examples | p. 145 |
Recognizing equivalent statements | p. 147 |
Sampling distributions | p. 147 |
Sampling distribution of the mean | p. 147 |
Sampling distribution of a proportion | p. 151 |
Summary | p. 152 |
Key words | p. 153 |
Exercises | p. 153 |
7 Sampling designs | p. 155 |
Introduction | p. 155 |
Types of samples | p. 156 |
Probabilistic samples | p. 157 |
Non-probabilistic samples | p. 161 |
Errors of measurement | p. 165 |
Errors of observation | p. 166 |
Sampling errors | p. 166 |
Summary | p. 166 |
Key words | p. 167 |
Exercises | p. 167 |
SPSS tutorial | p. 168 |
Part IV Inferential Statistics | p. 171 |
8 Estimation | p. 173 |
Introduction: Inferential statistics | p. 173 |
The logic of estimation: proportions and percentages | p. 174 |
Estimation of a percentage: confidence statements | p. 176 |
Proportions and percentages | p. 180 |
Point estimates and interval estimates | p. 180 |
Formulation of the level of confidence | p. 180 |
Estimation of a mean | p. 180 |
Estimation of a mean: the calculations | p. 181 |
Effect of the sample size on the margin of error | p. 183 |
Calculation of the sample size needed in a survey | p. 183 |
Summary | p. 184 |
Key words | p. 185 |
Exercises | p. 186 |
Interpretation of confidence statements | p. 186 |
Formulation of confidence statements | p. 186 |
SPSS tutorial | p. 187 |
Estimating a mean with SPSS | p. 187 |
Exercises | p. 188 |
Estimating a proportion with SPSS | p. 188 |
9 Hypothesis testing | p. 190 |
Introduction | p. 190 |
The logic of hypothesis testing | p. 192 |
The detailed procedure for hypothesis testing | p. 193 |
Understanding the probabilities of error | p. 195 |
The various forms of the alternative hypothesis | p. 197 |
When are one-tailed tests used? | p. 198 |
Hypothesis testing in statistical software | p. 199 |
t-tests | p. 199 |
The uses of hypothesis testing procedures | p. 199 |
Summary | p. 200 |
Key words | p. 202 |
Exercises | p. 202 |
SPSS tutorial | p. 203 |
Performing a one-sample t-test | p. 203 |
Part V Statistical Association | p. 205 |
10 Correlation and the regression line | p. 207 |
Introduction | p. 207 |
Dependent and independent variables | p. 210 |
The measure of statistical association between two quantitative variables | p. 211 |
The regression line | p. 215 |
Statistically significant correlations | p. 217 |
Interpreting SPSS outputs | p. 218 |
From statistical association to relationship between variables | p. 221 |
Summary | p. 223 |
Key words | p. 223 |
Exercises | p. 224 |
SPSS tutorial | p. 225 |
The Correlate procedure | p. 225 |
The Regression procedure | p. 226 |
The scatter diagram and the line of regression | p. 227 |
11 Two-way tables and the chi-squared test | p. 229 |
Introduction | p. 229 |
The definition of statistical association for categorical variables | p. 233 |
The chi-squared statistic (¿ 2 ) | p. 235 |
Chi-squared as a test of association between two nominal variables | p. 238 |
Measures of the strength of the association based on chi-squared | p. 241 |
Other measures of association for two-way tables | p. 241 |
The odds ratio | p. 242 |
Summary | p. 246 |
Key words | p. 247 |
Exercises | p. 247 |
SPSS tutorial | p. 248 |
12 t-tests and ANOVA | p. 252 |
Introduction | p. 252 |
The t-test as a test of statistical association | p. 255 |
The analysis of variance | p. 257 |
One-way ANOVA | p. 258 |
Two-way and multi-way ANOVA | p. 261 |
Graphical representations of the various kinds of effects | p. 264 |
Ordinal variables | p. 266 |
Statistical association as a qualitative relationship | p. 266 |
Summary | p. 272 |
Key words | p. 273 |
SPSS tutorial | p. 273 |
Appendix I Reporting a quantitative analysis | p. 283 |
Introduction | p. 284 |
How to write a descriptive report | p. 284 |
Basic direct reports | p. 284 |
Analytical descriptive reports | p. 293 |
Reporting an estimate | p. 302 |
Reporting a hypothesis test | p. 303 |
Reporting a statistical association | p. 305 |
Two quantitative variables | p. 305 |
The association between a qualitative and a quantitative variable | p. 305 |
Two qualitative variables | p. 306 |
Appendix II How to create a data file in SPSS | p. 308 |
Appendix III Area under the normal curve | p. 313 |
Appendix IV Table of random numbers | p. 315 |
Glossary | p. 317 |
Bibliography | p. 337 |
Index | p. 339 |