| Preface |
|
vii | |
|
UNIT I DESCRIPTIVE STATISTICS |
|
|
1 | (140) |
|
Introduction to Statistics |
|
|
1 | (23) |
|
Stumbling Blocks to Statistics |
|
|
2 | (13) |
|
A Brief Look at the History of Statistics |
|
|
15 | (1) |
|
Gertrude Cox (1900--1978) |
|
|
16 | (2) |
|
Benefits of a Course in Statistics |
|
|
18 | (1) |
|
General Field of Statistics |
|
|
19 | (2) |
|
|
|
21 | (1) |
|
|
|
21 | (1) |
|
|
|
21 | (3) |
|
Percentages, Graphs and Measures of Central Tendency |
|
|
24 | (29) |
|
|
|
24 | (2) |
|
Comparing Increases with Decreases |
|
|
26 | (1) |
|
|
|
27 | (1) |
|
|
|
28 | (7) |
|
Measures of Central Tendency |
|
|
35 | (8) |
|
Appropriate Use of the Mean, the Median, and the Mode |
|
|
43 | (4) |
|
|
|
47 | (1) |
|
|
|
48 | (1) |
|
|
|
49 | (1) |
|
|
|
49 | (2) |
|
|
|
51 | (2) |
|
|
|
53 | (20) |
|
|
|
54 | (7) |
|
|
|
61 | (2) |
|
|
|
63 | (3) |
|
|
|
66 | (1) |
|
|
|
67 | (1) |
|
|
|
68 | (1) |
|
|
|
69 | (1) |
|
|
|
69 | (3) |
|
|
|
72 | (1) |
|
The Normal Curve and z Scores |
|
|
73 | (24) |
|
|
|
73 | (3) |
|
|
|
76 | (1) |
|
Carl Friedrich Gauss (1777--1855) |
|
|
77 | (7) |
|
Translating Raw Scores into z Scores |
|
|
84 | (1) |
|
The Equation for the Normal Curve |
|
|
85 | (1) |
|
|
|
86 | (3) |
|
z Score Translations in Practice |
|
|
89 | (5) |
|
|
|
94 | (1) |
|
|
|
94 | (1) |
|
|
|
95 | (2) |
|
z Scores Revisited: T Scores and Other Normal Curve Transformations |
|
|
97 | (22) |
|
Other Applications of the z Score |
|
|
97 | (1) |
|
|
|
98 | (8) |
|
|
|
106 | (4) |
|
|
|
110 | (1) |
|
|
|
111 | (2) |
|
Grade-Equivalent Scores: A Note of Caution |
|
|
113 | (1) |
|
The Importance of the z Score |
|
|
114 | (1) |
|
|
|
114 | (1) |
|
|
|
115 | (1) |
|
|
|
116 | (3) |
|
|
|
119 | (22) |
|
The Definition of Probability |
|
|
119 | (3) |
|
Blaise Pascal (1623--1662) |
|
|
122 | (5) |
|
Probability and Percentage Areas of the Normal Curve |
|
|
127 | (1) |
|
Combinations, Permutations, and Statistical Inference |
|
|
128 | (5) |
|
Combining Probabilities for Independent Events |
|
|
133 | (3) |
|
|
|
136 | (1) |
|
|
|
137 | (1) |
|
|
|
137 | (1) |
|
|
|
137 | (4) |
|
UNIT II INFERENTIAL STATISTICS |
|
|
141 | (258) |
|
Statistics and Parameters |
|
|
141 | (26) |
|
Generalizing from the Few to the Many |
|
|
141 | (1) |
|
Key Concepts of Inferential Statistics |
|
|
142 | (2) |
|
|
|
144 | (8) |
|
|
|
152 | (2) |
|
Infinite versus Finite Sampling |
|
|
154 | (3) |
|
Galton and the Concept of Error |
|
|
157 | (2) |
|
|
|
159 | (4) |
|
Some Words of Encouragement |
|
|
163 | (1) |
|
|
|
163 | (1) |
|
|
|
164 | (1) |
|
|
|
164 | (3) |
|
Parameter Estimates and Hypothesis Testing |
|
|
167 | (29) |
|
Estimating the Population Standard Deviation |
|
|
167 | (3) |
|
Estimating the Standard Error of the Mean |
|
|
170 | (3) |
|
Estimating the Population Mean: Interval Estimates and Hypothesis Testing |
|
|
173 | (1) |
|
|
|
174 | (4) |
|
|
|
178 | (1) |
|
|
|
179 | (3) |
|
|
|
182 | (2) |
|
|
|
184 | (1) |
|
Interval Estimates: No Hypothesis Test Needed |
|
|
185 | (4) |
|
|
|
189 | (1) |
|
|
|
190 | (1) |
|
|
|
190 | (3) |
|
|
|
193 | (3) |
|
The Fundamentals of Research Methodology |
|
|
196 | (41) |
|
|
|
196 | (2) |
|
Independent and Dependent Variables |
|
|
198 | (2) |
|
The Cause-and-Effect Trap |
|
|
200 | (1) |
|
|
|
201 | (5) |
|
Research: Experimental versus Post Facto |
|
|
206 | (1) |
|
The Experimental Method: The Case of Cause and Effect |
|
|
207 | (1) |
|
Creating Equivalent Groups: The True Experiment |
|
|
208 | (2) |
|
Designing the True Experiment |
|
|
210 | (3) |
|
|
|
213 | (2) |
|
Repeated-Measures Designs with Separate Control Groups |
|
|
215 | (2) |
|
Requirements for the True Experiment |
|
|
217 | (2) |
|
|
|
219 | (3) |
|
|
|
222 | (1) |
|
|
|
223 | (2) |
|
Experimental Error: Failure to Use an Adequate Control Group |
|
|
225 | (1) |
|
|
|
226 | (1) |
|
|
|
227 | (3) |
|
Methodology as a Basis for More Sophisticated Techniques |
|
|
230 | (1) |
|
|
|
230 | (2) |
|
|
|
232 | (1) |
|
|
|
233 | (4) |
|
The Hypothesis of Difference |
|
|
237 | (42) |
|
Sampling Distribution of Differences |
|
|
237 | (4) |
|
Estimated Standard Error of Difference |
|
|
241 | (2) |
|
Two-Sample t Test for Independent Samples |
|
|
243 | (3) |
|
|
|
246 | (2) |
|
|
|
248 | (1) |
|
William Sealy Gossett (1876--1937) |
|
|
249 | (3) |
|
|
|
252 | (2) |
|
Alpha Levels and Confidence Levels |
|
|
254 | (3) |
|
|
|
257 | (1) |
|
|
|
257 | (1) |
|
|
|
257 | (4) |
|
Importance of Having at Least Two Samples |
|
|
261 | (1) |
|
|
|
262 | (1) |
|
|
|
263 | (6) |
|
|
|
269 | (1) |
|
|
|
270 | (1) |
|
|
|
270 | (5) |
|
|
|
275 | (4) |
|
The Hypothesis of Association: Correlation |
|
|
279 | (44) |
|
|
|
279 | (3) |
|
|
|
282 | (1) |
|
Interclass versus Intraclass |
|
|
282 | (2) |
|
Karl Pearson (1857--1936) |
|
|
284 | (7) |
|
|
|
291 | (9) |
|
|
|
300 | (1) |
|
|
|
300 | (3) |
|
|
|
303 | (1) |
|
|
|
304 | (5) |
|
|
|
309 | (2) |
|
An Important Difference Between the Correlation Coefficient and the t Test |
|
|
311 | (1) |
|
|
|
311 | (1) |
|
|
|
312 | (1) |
|
|
|
312 | (6) |
|
|
|
318 | (5) |
|
|
|
323 | (43) |
|
|
|
323 | (1) |
|
|
|
324 | (1) |
|
Ronald Aylmer Fisher (1890--1962) |
|
|
325 | (1) |
|
|
|
326 | (13) |
|
|
|
339 | (2) |
|
|
|
341 | (1) |
|
|
|
342 | (7) |
|
|
|
349 | (1) |
|
|
|
350 | (1) |
|
|
|
351 | (5) |
|
|
|
356 | (1) |
|
|
|
357 | (1) |
|
|
|
358 | (1) |
|
|
|
358 | (4) |
|
|
|
362 | (4) |
|
Nominal Data and the Chi Square |
|
|
366 | (33) |
|
Chi Square and Independent Samples |
|
|
366 | (3) |
|
|
|
369 | (4) |
|
|
|
373 | (4) |
|
|
|
377 | (3) |
|
Chi Square and Percentages |
|
|
380 | (1) |
|
|
|
381 | (1) |
|
Chi Square and Dependent Samples |
|
|
381 | (6) |
|
Requirements for Using the Chi Square |
|
|
387 | (1) |
|
|
|
387 | (1) |
|
|
|
388 | (1) |
|
|
|
388 | (7) |
|
|
|
395 | (4) |
|
UNIT III ADVANCED TOPICS IN INFERENTIAL STATISTICS |
|
|
399 | (184) |
|
|
|
399 | (44) |
|
|
|
399 | (9) |
|
Sir Francis Galton (1822--1911) |
|
|
408 | (3) |
|
Standard Error of Estimate |
|
|
411 | (3) |
|
Multiple R (Linear Regression with More Than Two Variables) |
|
|
414 | (6) |
|
|
|
420 | (3) |
|
Path Analysis, The Multiple R, and Causation |
|
|
423 | (1) |
|
|
|
424 | (4) |
|
|
|
428 | (3) |
|
|
|
431 | (2) |
|
|
|
433 | (1) |
|
|
|
434 | (1) |
|
|
|
435 | (1) |
|
|
|
435 | (5) |
|
|
|
440 | (3) |
|
Repeated-Measures and Matched-Subjects Designs With Interval Data |
|
|
443 | (31) |
|
Problem of Correlated or Dependent Samples |
|
|
443 | (1) |
|
|
|
444 | (1) |
|
|
|
445 | (4) |
|
|
|
449 | (1) |
|
Confidence Interval for Paired Differences |
|
|
450 | (7) |
|
|
|
457 | (2) |
|
|
|
459 | (1) |
|
Within-Subjects Effect Size |
|
|
460 | (2) |
|
Testing Correlated Experimental Data |
|
|
462 | (1) |
|
|
|
463 | (1) |
|
|
|
464 | (1) |
|
|
|
464 | (5) |
|
|
|
469 | (5) |
|
Nonparametrics Revisited: The Ordinal Case |
|
|
474 | (22) |
|
Mann-Whitney U Test for Two Ordinal Distributions with Independent Selection |
|
|
475 | (2) |
|
|
|
477 | (2) |
|
Kruskal-Wallis H Test for Three or More Ordinal Distributions with Independent Selection |
|
|
479 | (2) |
|
|
|
481 | (1) |
|
Wilcoxon T Test for Two Ordinal Distributions with Correlated Selection |
|
|
482 | (2) |
|
|
|
484 | (1) |
|
Friedman ANOVA By Ranks for Three or More Ordinal Distributions with Correlated Selection |
|
|
485 | (3) |
|
|
|
488 | (1) |
|
Advantages and Disadvantages of Nonparametric Tests |
|
|
489 | (1) |
|
|
|
489 | (1) |
|
|
|
490 | (1) |
|
|
|
490 | (4) |
|
|
|
494 | (2) |
|
|
|
496 | (44) |
|
Norm and Criterion Referencing: Relative Versus Absolute Performance Measures |
|
|
497 | (2) |
|
|
|
499 | (2) |
|
Test Reliability, Validity, and Measurement Theory |
|
|
501 | (2) |
|
|
|
503 | (4) |
|
|
|
507 | (5) |
|
|
|
512 | (2) |
|
|
|
514 | (5) |
|
|
|
519 | (3) |
|
|
|
522 | (9) |
|
|
|
531 | (2) |
|
|
|
533 | (1) |
|
|
|
533 | (5) |
|
|
|
538 | (2) |
|
Computers and Statistical Analysis |
|
|
540 | (16) |
|
|
|
542 | (1) |
|
|
|
543 | (2) |
|
Ada Lovelace (nee Byron, 1815--1852) |
|
|
545 | (6) |
|
|
|
551 | (1) |
|
|
|
551 | (3) |
|
|
|
554 | (1) |
|
|
|
555 | (1) |
|
Research Simulations: Choosing the Correct Statistical Test |
|
|
556 | (27) |
|
Methodology: Research's Bottom Line |
|
|
556 | (1) |
|
|
|
557 | (2) |
|
|
|
559 | (1) |
|
Research Simulations: From A to Z |
|
|
559 | (22) |
|
|
|
581 | (1) |
|
A Final Thought: The Burden of Proof |
|
|
582 | (1) |
| Special Unit: The Binomial Case |
|
583 | (14) |
| Appendix A |
|
597 | (14) |
| Appendix B |
|
611 | (7) |
| Glossary |
|
618 | (14) |
| References |
|
632 | (10) |
| Answers to Odd-Numbered Items (and Within-Chapter Exercises) |
|
642 | (10) |
| Index |
|
652 | |