An introduction to statistics: an active learning approach
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Los Angeles
SAGE
[2018]
|
| Edition: | Second edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xxv, 627 Seiten Illustrationen, Diagramme |
| ISBN: | 9781483378732 |
Staff View
MARC
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| 100 | 1 | |a Carlson, Kieth A. |0 (DE-588)1132258731 |4 aut | |
| 245 | 1 | 0 | |a An introduction to statistics |b an active learning approach |c Kieth A. Carlson, Jennifer R. Winquist, Valparaiso University |
| 250 | |a Second edition | ||
| 264 | 1 | |a Los Angeles |b SAGE |c [2018] | |
| 300 | |a xxv, 627 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Sozialwissenschaften | |
| 650 | 4 | |a Statistik | |
| 650 | 4 | |a Social sciences |x Statistical methods | |
| 650 | 4 | |a Statistics | |
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Record in the Search Index
| _version_ | 1804177498879033344 |
|---|---|
| adam_text | Contents
Preface xix
About the Authors xxv
Chapter 1. Introduction to Statistics and Frequency Distributions 1
Chapter 2. Central Tendency 39
Chapter 3. Variability 65
Chapter 4. z Scores 95
Chapter 5. The Distribution of Sample Means and z for a Sample Mean 113
Chapter 6. Hypothesis Testing With z Scores 145
Chapter 7. Single-Sample t Test 207
Chapter 8. Estimation With Confidence Intervals 241
Chapter 9. Related Samples t Test 271
Chapter 10. Independent Samples t Test 315
Chapter 11. One-way Independent Samples ANOVA 367
Chapter 12. Two-Factor ANOVA or Two-Way ANOVA 439
Chapter 13. Correlation and Regression 513
Chapter 14. Goodness-of-Fit and Independence Chi-Square Statistics 567
Appendices
Index
597
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About the Authors
JL Introduction to Statistics mid Etequohiny ¡tfstlSuttais
How to Be Successful in This Course 1
Math Skills Required in This Course 3
Why Do You Have to Take Statistics? 4
Statistics and the Helping Professions 4
Hypothesis Testing, Effect Size, and Confidence Intervals 5
Testing Causal Hypotheses 6
Populations and Samples 7
Independent and Dependent Variables 8
Scales of Measurement 9
Discrete Versus Continuous Variables 12
Graphing Data 12
Shapes of Distributions 15
Frequency Distribution Tables 19
SPSS 20
Overview of the Activity 24
Activity lAi Frequency Distributions 24
Chapter 1 Practice Test 32
ca
(L Central Ten deucy
Central Tendency 39
Computing the Mean 42
Find the Median 45
Find the Mode 47
SPSS 47
Overview of the Activity 51
Activity 2,1s Central Tendency 51
Chapter 2 Practice Test 61
Variability
65
Population Variability 65
Steps in Computing a Population s Standard Deviation 66
Step 1: Compute the Deviation Scores (X - p) 66
Step 2: Square the Deviation Scores (X - p)2 67
Step 3: Compute the Sum of the Squared Deviation Scores, SS = IfX ֊ p)2 68
Step 4: Compute the Variance (a2) 69
Step 5: Compute the Standard Deviation (a) 69
Sample Variability 72
Steps 1 Through 3: Obtaining the SS 73
Step 4: Compute the Sample Variance (SD2) 73
Step 5: Compute the Sample Standard Deviation (SDJ 74
SPSS 75
Overview of the Activity 78
Activity 3.1: Variability 78
Chapter 3 Practice Test 91
z Scores
i for a Single Score 95
Computing a zfor an Individual Score 96
Interpreting the z for a Single Score 96
Using X to Find Important Cut Lines 97
z Scores and the Standard Normal Curve 98
Example 1: Positive z Score 100
Compute the z Score 100
Draw a Normal Distribution, and Shade the Area You Are Interested In 101
Use a Unit Normal Table (Located in Appendix A of This Book) to Find
the Area of the Shaded Proportion of the Curve 101
Example 2: Negative z Score 102
Draw a Normal Distribution, and Shade the Area You Are Interested In 102
Use a Unit Normal Table to Find the Area That Is Shaded 102
Example 3: Proportion Between Two z Scores 103
Draw a Normal Distribution, and Shade the Area You Are Interested In 103
Use a Unit Normal Table to Find the Area That Is Shaded 103
Overview of the Activity 104
Activity 4.1: z Scores and Probabilities 104
Chapter 4 Practice Test 111
The Distribution of Sample Means and z for a Sample Mean
95
113
Sampling and Sampling Error 113
Distribution of Sample Means 115
z for a Sample Mean 122
Example: Computing and Interpreting the z for a Sample Mean 124
Step 1: Compute the Observed Deviation 124
Step 2: Compute the Deviation Expected by Sampling Error 124
Step 3: Compute the Ratio Between Observed and Expected Deviation
(zfor a Sample Mean) 124
Step 4: Locate the z Score in the Distribution 124
Step 5: Look Up the z Score 125
Step 6: Interpret the z Score 125
Exact Probabilities Versus Probability Estimates 125
Overview of the Activities 126
Activity 5.1: Introduction to Distributions of Sample Means 126
Activity 5.2: Central Limit Theorem 136
Chapter 5 Practice Test 142
Hypothesis Testing With z Scores 145
Introduction to Hypothesis Testing 145
Hypothesis Testing With z for a Sample Mean Example (One-Tailed) 146
Step 1: Examine Variables to Assess Statistical Assumptions 146
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 148
Step 3: Define the Critical Region 150
Step 4: Compute the Test Statistic (zfor a Sample Mean) 154
Step 5: Compute the Effect Size, and Describe It as Small Medium, or Large 155
Step 6: Interpreting the Results of the Hypothesis Test Using a zfor a Sample Mean 157
What Does It Mean to Describe Something as Statistically Significant ? 157
Errors in Hypothesis Testing 158
Hypothesis Testing Rules 160
What Is a p Value? 162
Why Statisticians Fail to Reject the Null Rather Than Accept the Null 164
Why Scientists Say This Research Suggests Rather Than This Research Proves 165
Overview of the Activities 166
Activity 6.1: Hypothesis Testing 166
Activity 6.2: Critical Values, p Values, and the Null Hypothesis 177
Activity 6.3: Statistical Power, Type I Error, and Type II Error 182
Activity 6.4: Hypothesis Testing and Effect Size 195
Chapter 6 Practice Test 204
7
Single-Sample t Test
207
Single-Sample t Test 207
Conceptual Information 208
One-Tailed Single-Sample f Test Example 211
Step 1: Examine the Statistical Assumptions 211
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 212
Step 3: Use Sample Size to Compute Degrees of Freedom and Define the
Critical Region 213
Step 4: Compute the Test Statistic (Single-Sample t Test) 214
Step 5: Compute an Effect Size and Describe It 216
Step 6: Interpreting the Results of the Hypothesis Test 216
Two-Tailed Single-Sample t Test Example 217
Step 1: Examine the Statistical Assumptions 219
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 219
Step 3: Use Sample Size to Compute Degrees of Freedom and Define the Critical Regions 220
Step 4: Compute the Test Statistic (Single-Sample t Test) 220
Step 5: Compute an Effect Size and Describe It 222
Step 6: Interpreting the Results of the Hypothesis Test 222
Other Alpha Levels 222
SPSS 223
Overview of the Activity 226
Activity 7.1: Single-Sample t Test 227
Chapter 7 Practice Test 234
Estimation With Confidence Intervals 241
Three StatistkaL Procedures With Three Distinct Purposes 241
Logic of Confidence Intervals 244
Computing a Confidence Interval for a Population Mean 245
Computing Confidence Intervals for a Mean Difference 247
Reporting Confidence Intervals in APA Style 249
Confidence Intervals for Effect Sizes 249
Interpretations of Confidence Intervals 250
SPSS 251
OverView of the Activity 252
Activity 8.1: Estimating Sample Means and Sample Mean differences 253
Chapter 8 Practice Test 267
Related Samples t Test 271
Repeated/Related Samples t Test 271
Logic of the Single-Sample and Repeated/Related Samples t Tests 273
Related Samples t (Two-Tailed) Example 274
Step 1: Examine the Statistkal Assumptions 274
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 275
Step 3: Compute the Degrees ofFreedom and Define the Crítical Region 276
Step 4: Compute the Test Statistk (Related Samples t) 277
Step 5: Compute an Effect Size and Descríbe It 279
Step 6: Interpreting the Results of the Hypothesis Test 279
Related Samples t (One-Tailed) Example 280
Step 1: Examine the Statistical Assumptions 280
Step 2; State the Null and Research Hypotheses Symbolically and Verbally 280
Step 3: Compute the Degrees of Freedom and Define the Critical Region 281
Step 4: Compute the Test Statistic (Related Samples t) 281
Step 5: Compute an Effect Size and Describe It 283
Step 6: Interpreting the Results of the Hypothesis Test 283
Statistical Results, Experimental Design, and Scientific Conclusions 284
SPSS 284
Overview of the Activities 289
Activity 9.1: Hypothesis Testing with the Related Samples t Test (or Dependent t Test) 289
Activity 9.2: Combining Significance Testing, Effect Sizes, and Confidence Intervals 299
Chapter 9 Practice Test 309
Independent Samples t Test
Independent Samples t 315
Conceptual Formula for the Independent Samples t 319
Two-Tailed Independent t Test Example 320
Step 1: Examine the Statistical Assumptions 320
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 321
Step 3: Compute the Degrees of Freedom and Define the Critical Region 322
Step 4: Compute the Test Statistic 322
Step 5: Compute an Effect Size and Describe It 325
Step 6: Interpreting the Results of the Hypothesis Test 326
One-Tailed Independent t Test Example 326
Step 1: Examine the Statistical Assumptions 326
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 326
Step 3: Compute the Degrees of Freedom and Define the Critical Region 327
Step 4: Compute the Test Statistic 328
Step 5: Compute an Effect Size and Describe It 329
Step 6: Interpreting the Results of the Hypothesis Test 329
Other Alpha Levels 330
SPSS 330
Overview of the Activities 336
Activity 10.1: Hypothesis Testing With the Independent t Test 336
Activity 10.2: A Two-Tailed Independent t Test 347
Activity 10.3: How to Choose the Correct Statistic 353
Activity 10.4: Comparing Independent, Matched, and Repeated Research Designs 355
Activity 10.5: Confidence Intervals for Mean Differences Between Independent Samples 357
Chapter 10 Practice Test 362
315
One-Way Independent Samples ANOVA
367
d-i i .
Independent Samples ANOVA 367
Other Names 368
Logic of the ANOVA 368
An Example ANOVA Problem 371
Step 1: Examine Variables to Assess Statistical Assumptions 372
Step 2: State the Null and Research Hypotheses 373
Step 3: Define the Critical Value of F 374
Step 4: Computing the Test Statistic (Independent ANOVA) 374
Step 5: Compute the Effect Size and Describe It 380
Step 6: Summarize the Results 382
An Additional Note on ANOVAs: Family-Wise Error and Alpha Inflation 382
SPSS 383
Overview of the Activities 388
Activity 11.1: Computing One-Way Independent ANOVAs 388
Activity 11,2։ Computing One-Way Independent ANOVAs in SPSS 398
Activity 11.3: Independent ANOVA With SPSS 400
Activity It A։ Understanding Within- and Between-Group Variability 411
Activity 11.5s Confidence Intervals 423
Activity 11.6: Choose the Correct Statistic 428
Chapter 11 Practice Test 431
is ?
Two-Factor ANOVA or Two-Way ANOVA
Purpose of the Two-Way ANOVA 439
Describing Factorial Designs 440
Logic of the Two-Way ANOVA 441
Example of a Two-Way ANOVA 445
Step 1: Examine Variables to Assess Statistical Assumptions 445
Step 2: Set Up the Null and Research Hypotheses 446
Step 3: Define the Critical Region 450
Step 4: Compute the Test Statistics (Three F Tests) 452
Step 5: Compute the Effect Sizes 454
Step 6: Writing Up the Results of a Two-Way ANOVA 457
SPSS 457
Overview of the Activities 464
Activity 12.1s Two-Factor ANOVAs I 464
Activity 12.2s Two-Factor ANOVAs II 476
Activity 12.3s Two-Factor ANOVAs III 481
Activity 12.4s One-Way and Two-Way ANOVA Review 490
439
Activity 12.5։ Choose the Correct Statistic 502
Chapter 12 Practice Test 506
Æ /}
JL Correlation and Regression
When to Use Correlations and What They Can Tell You 513
Review of z Scores 514
The Logic of Correlation 515
Direction and Strength of Correlation Coefficients 516
Computational Formulas 519
Spearman s (rs) Correlations 521
Using Scatterplots Prior to Correlation Coefficients 521
Alternative Use for Correlation 523
Correlation and Causation 523
Hypothesis Testing With Correlation 524
Two-Tailed Pearson s Correlation Example 525
Step 1: Assess Statistical Assumptions 526
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 527
Step 3: Define the Critical Region 527
Step 4: Compute the Test Statistic (Pearson s r) 528
Step 5: Compute the Effect Size (r2) and Describe It 528
Step 6: Summarize the Results 529
One-Tailed Pearson s Correlation Example 529
Step 1: Assess Statistical Assumptions 529
Step 2: State the Null and Research Hypotheses Symbolically and Verbally 529
Step 3: Define the Critical Region 531
Step 4: Compute the Test Statistic (Pearson s r) 531
Step 5: Compute the Effect Size (r2) and Describe It 531
Step 6: Summarize the Results 531
What If You Need to Do a Spearman s Correlation? 532
Confidence Intervals 532
SPSS 533
Overview of the Activities 536
Activity IBJj Correlations 536
Activity !3*2s Confidence Intervals for Correlations 546
Activity 1303s Spearman s Correlation 550
Activity 13A։ Introduction to Regression and Prediction 552
Activity t;Lbt Choose the Correct Statistic 560
Chapter 13 Practice Test 563
Goodness of Fit and Independence Chi-Square Statistics
Overview of Chi-Square 567
Logic of the Chi-Square Test 569
Comparing the Goodness-of-Fit Chi-Square and the Chi-Square for Independence 570
Good ness-of-Fit Chi-Square Example 571
Step 1: Examine Statistical Assumptions 571
Step 2: State the Null and Research Hypotheses 571
Step 3: Compute the df and Define the Critical Region 571
Step 4: Compute the Test Statistic (Goodness-of-Fit Chi-Square) 572
Step 5: Interpret the Results 573
Chi-Square for Independence 573
Step 1: Examine Statistical Assumptions 573
Step 2: State the Null and Research Hypotheses 574
Step 3: Compute the df and Define the Critical Region 574
Step 4: Compute the Test Statistic (Chi-Square Test for Independence) 574
Step 5: Compute the Effect Size and Interpret It as Small, Medium, or Large 576
Step 6: Interpret the Results 577
SPSS 578
Overview of the Activities 583
Activity 14.1: Goodness-of-fit chi-square and chi-square for independence 583
Activity 14.2: Choose the Correct Statistic 588
Chapter 14 Practice Test 593
567
Appendices 597
Appendix A
Unit Normal Table (z Table) 597
Appendix B
One-Tailed Probabilities t Table 601
Two-Tailed Probabilities t Table 602
Appendix C
F Table (a - .05) 603
F Table (a = .01) 605
Appendix D
The Studentized Range Statistic (q) Table 607
Appendix E
One-Tailed Pearson s Correlation Table 609
Two-Tailed Pearson s Correlation Table 610
Appendix F
Spearman s Correlation Table 611
Appendix G
Fisher r to z Table 612
Appendix H
Critical Values for Chi-Square 613
Appendix I
Computing SSs for Factorial ANOVA 614
Appendix J
Choosing Correct Test Statistics 616
|
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| institution | BVB |
| isbn | 9781483378732 |
| language | English |
| lccn | 016039108 |
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| spelling | Carlson, Kieth A. (DE-588)1132258731 aut An introduction to statistics an active learning approach Kieth A. Carlson, Jennifer R. Winquist, Valparaiso University Second edition Los Angeles SAGE [2018] xxv, 627 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Statistik (DE-588)4056995-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Statistik (DE-588)4056995-0 s DE-604 Winquist, Jennifer R. (DE-588)1132258855 aut Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029700619&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carlson, Kieth A. Winquist, Jennifer R. An introduction to statistics an active learning approach Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4056995-0 (DE-588)4123623-3 |
| title | An introduction to statistics an active learning approach |
| title_auth | An introduction to statistics an active learning approach |
| title_exact_search | An introduction to statistics an active learning approach |
| title_full | An introduction to statistics an active learning approach Kieth A. Carlson, Jennifer R. Winquist, Valparaiso University |
| title_fullStr | An introduction to statistics an active learning approach Kieth A. Carlson, Jennifer R. Winquist, Valparaiso University |
| title_full_unstemmed | An introduction to statistics an active learning approach Kieth A. Carlson, Jennifer R. Winquist, Valparaiso University |
| title_short | An introduction to statistics |
| title_sort | an introduction to statistics an active learning approach |
| title_sub | an active learning approach |
| topic | Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Statistik (DE-588)4056995-0 gnd |
| topic_facet | Sozialwissenschaften Statistik Social sciences Statistical methods Statistics Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029700619&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT carlsonkietha anintroductiontostatisticsanactivelearningapproach AT winquistjenniferr anintroductiontostatisticsanactivelearningapproach |