Fundamentals of statistical reasoning in education:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Hoboken, NJ
Wiley
2011
|
| Ausgabe: | 3. ed. |
| Schriftenreihe: | Wiley Jossey-Bass education
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XII, 468 S. graph. Darst. 1 CD ROM |
| ISBN: | 9780470574799 |
Internformat
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| 245 | 1 | 0 | |a Fundamentals of statistical reasoning in education |c Theodore Coladarci ... |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a Hoboken, NJ |b Wiley |c 2011 | |
| 300 | |a XII, 468 S. |b graph. Darst. |e 1 CD ROM | ||
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Datensatz im Suchindex
| _version_ | 1804143554330624000 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
CHAPTER 1 INTRODUCTION 1 CHAPTER3 GRAPHIE
REPRESENTATION 36
1.1 WHY STATISTICS? 1
1.2 DESCRIPTIVE STATISTICS 2 3.1 WHY GRAPH DATA? 36
1.3 LNFERENTIAL STATISTICS 3 3.2 GRAPHING QUALITATIVE DATA: THE
1.4 THE ROLE OF STATISTICS IN BAR CHART 36
EDUCATIONAL RESEARCH 4 3.3 GRAPHING QUANTITATIVE DATA: THE
1.5 VARIABLES AND THEIR HISTOGRAM 37
MEASUREMENT 5 3.4 RELATIVE FREQUENCY AND
1.6 SOME TIPS ON STUDYING PROPORTIONAL AREA 41
STATISTICS 9 3.5 CHARACTERISTICS OF FREQUENCY
DISTRIBUTIONS 43
PART I 3.6 THE BOX PLOT 47
DESCRIPTIVE STATISTICS 13 3.7 SUMMARY 48
CHAPTER 2 FREQUENEY CHAPTER4 CENTRAL TENDENEY 55 DISTRIBUTIONS 14 4.1
THE CONCEPT OF CENTRAL TENDENCY 55
2.1 WHY ORGANIZE DATA? 14 4.2 THE MODE 55
2.2 FREQUENCY DISTRIBUTIONS FOR 4.3 THE MEDIAN 56
QUANTITATIVE VARIABLES 14 4.4 THE ARITHMETIC MEAN 58
2.3 GROUPED SCORES 16 4.5 CENTRAL TENDENCY AND
2.4 SOME GUIDELINES FOR FORMING DISTRIBUTION SYMMETRY 60
CLASS INTERVALS 17 4.6 WHICH MEASURE OF CENTRAL
2.5 CONSTRUCTING A GROUPED-DATA TENDENCY TO USE? 62
FREQUENCY DISTRIBUTION 18 4.7 SUMMARY 63
2.6 THE RELATIVE FREQUENCY DISTRIBUTION 20
2.7 EXACT LIMITS 21 CHAPTER5 VARIABILITY 70
2.8 THE CUMULATIVE PERCENTAGE FREQUENCY DISTRIBUTION 23 5.1 CENTRAL
TENDENCY LS NOT ENOUGH:
2.9 PERCENTILE RANKS 24 THE LMPORTANCE OF VARIABILITY 70
2.10 FREQUENCY DISTRIBUTIONS FOR 5.2 THE RANGE 71
QUALITATIVE VARIABLES 26 5.3 VARIABILITY AND DEVIATIONS FROM
2.11 SUMMARY 27 THE MEAN 72
VII
IMAGE 2
VIII
CONTENTS
5.4 THE VARIANCE 73 7.4 THE PEARSON , 124
5.5 THE STANDARD DEVIATION 74 7.5 COMPUTATION OF ,: THE CALCULATING
5.6 THE PREDOMINANCE OF THE FORMULA 127
VARIANCE AND STANDARD DEVIATION 76 7.6 CORRELATION AND CAUSATION 129
5.7 THE STANDARD DEVIATION AND THE 7.7 FACTORS INFLUENCING PEARSON , 130
NORMAL DISTRIBUTION 76 7.8 JUDGING THE STRENGTH OF
5.8 COMPARING MEANS OF TWO ASSOCIATION: ,2 134
DISTRIBUTIONS: THE RELEVANCE OF 7.9 OTHER CORRELATION COEFFICIENTS 135
VARI ABILITY 77 7.10 SUMMARY 136
5.9 IN THE DENOMINATOR: N VERSUS N - 1 80 5.10 SUMMARY 80
CHAPTER8 REGRESSION AND PREDICTION 143
CHAPTER6 NORMAL DISTRIBUTIONS AND STANDARD SCORES 86 8.1 CORRELATION
VERSUS PREDICTION 143
8.2 DETERMINING THE LINE OF
6.1 A LITTLE HISTORY: SIR FRANCIS BEST FIT 144
GALTON AND THE NORMAL CURVE 86 8.3 THE REGRESSION EQUATION IN
6.2 PROPERTIES OF THE NORMAL CURVE 87 TERMS OF RAW SCORES 147
6.3 MORE ON THE STANDARD DEVIATION 8.4 INTERPRETING THE RAW-SCORE SLOPE
150
AND THE NORMAL DISTRIBUTION 88 8.5 THE REGRESSION EQUATION IN
6.4 Z SCORES 90 TERMS OF Z SCORES 151
6.5 THE NORMAL CURVE TABLE 92 8.6 SOME INSIGHTS REGARDING
6.6 FINDING AREA WHEN THE SCORE IS CORRELATION AND PREDICTION 152
KNOWN 94 8.7 REGRESSION AND SUMS OF SQUARES 155
6.7 REVERSING THE PROCESS: FINDING 8.8 MEASURING THE MARGIN OF
SCORES WHEN THE AREA IS KNOWN 97 PREDICTION ERROR: THE STANDARD
6.8 COMPARING SCORES FROM DIFFERENT ERROR OF ESTIMATE 157
DISTRIBUTIONS 99 8.9 CORRELATION AND CAUSALITY
6.9 INTERPRETING EFFECT SIZE 100 (REVISITED) 162
6.10 PERCENTILE RANKS AND THE NORMAL 8.10 SUMMARY 163
DISTRIBUTION 102
6.11 OTHER STANDARD SCORES 103 PART 2
6.12 STANDARD SCORES DO NOT NORMALIZE A DISTRIBUTION 105 INFERENTIAL
STATISTICS 173 6.13 THE NORMAL CURVE AND PROBABILITY 105
CHAPTER 9 PROB ABILITY AND
6.14 SUMMARY 106
PROBABILITY
CHAPTER 7 CORRELATION 113
DISTRIBUTIONS 174
9.1 STATISTICAL INFERENCE: ACCOUNTING
7.1 THE CONCEPT OF ASSOCIATION 113 FOR CHANCE IN SAMPIE RESULTS 174
7.2 BIVARIATE DISTRIBUTIONS AND 9.2 PROBABILITY: THE STUDY OF CHANCE 176
SCATTERPLOTS 113 9.3 DEFINITION OF PROB ABILITY 176
7.3 THE COVARIANCE 118 9.4 PROBABILITY DISTRIBUTIONS 178
IMAGE 3
CONTENTS IX
9.5 THE OR/ADDITION RULE 180 11.5 THE PROB ABILITY OF THE TEST
9.6 THE AND/MULTIPLICATION RULE 181 STATISTIC: THE P VALUE 219
9.7 THE NORMAL CURVE AS A 11.6 THE DECISION CRITERION: LEVEL OF
PROBABILITY DISTRIBUTION 183 SIGNIFICANCE ( I.) 220
9.8 SO WHAT? -PROBABILITY 11.7 THE LEVEL OF SIGNIFICANCE AND
DISTRIBUTIONS AS THE BASIS FOR DECISION ERROR 222
STATISTICAL INFERENCE 185 11.8 THE NATURE AND ROLE OF HO AND H 1 224
9.9 SUMMARY 186 11.9 REJECTION VERSUS RETENTION OF HO 225
11.10 STATISTICAL SIGNIFICANCE VERSUS IMPORTANCE 226
CHAPTER 10 SAMPLING 11.11 DIRECTIONAL AND NONDIRECTIONAL
DISTRIBUTIONS 191 ALTERNATIVE HYPOTHESES 228
11.12 THE SUBSTANTIVE VERSUS
10.1 FROM COINS TO MEANS 191 THE STATISTICAL 230
10.2 SAMPIES AND POPULATIONS 192 11.13 SUMMARY 232
10.3 STATISTICS AND PARAMETERS 193
10.4 RANDOM SAMPLING MODEL 194
CHAPTER 12 ESTIMATION 240
10.5 RANDOM SAMPLING IN PRACTICE 196 10.6 SAMPLING DISTRIBUTIONS OF
MEANS 196 12.1 HYPOTHESIS TESTING VERSUS 10.7 CHARACTERISTICS OF A
SAMPLING
ESTIMATION 240
DISTRIBUTION OF MEANS 198
12.2 POINT ESTIMATION VERSUS INTERVAL
10.8 USING A SAMPLING DISTRIBUTION
ESTIMATION 241
OF MEANS TO DETERMINE
12.3 CONSTRUCTING AN INTERVAL ESTIMATE
PROBABILITIES 201
10.9 THE IMPORTANCE OF SAMPIE
OF J.1 242
12.4 INTERVAL WIDTH AND LEVEL OF
SIZE (N) 205
CONFIDENCE 245
10.10 GENERALITY OF THE CONCEPT OF A 12.5 INTERVAL WIDTH AND SAMPIE SIZE
246
SAMPLING DISTRIBUTION 206
12.6 INTERVAL ESTIMATION AND
10.11 SUMMARY 207
HYPOTHESIS TESTING 246
12.7 ADVANTAGES OF INTERVAL
CHAPTER 11 TESTING STATISTICAL
ESTIMATION 248
12.8 SUMMARY 249
HYPOTHESES ABOUT JA. WHEN (J IS KNOWN: CHAPTER 13 TESTING STATISTICAL
THE ONE-SAMPLE Z TEST 214
HYPOTHESES ABOUT JA. WHEN (J IS NOT
11.1 TESTING A HYPOTHESIS ABOUT J.1: KNOWN: THE
DOES HOMESCHOOLING MAKE A ONE-SAMPLE T TEST 255
DIFFERENCE? 214
11.2 DR. MEYER S PROBLEM IN A 13.1 REALITY: (J OFTEN IS UNKNOWN 255
NUTSHELL 215 13.2 ESTIMATING THE STANDARD ERROR
11.3 THE STATISTICAL HYPOTHESES: OF THE MEAN 256
HO AND H] 216 13.3 THE TEST STATISTIC T 258
11.4 THE TEST STATISTIC Z 218 13.4 DEGREES OF FREEDOM 259
IMAGE 4
X
CONTENTS
13.5 THE SAMPLING DISTRIBUTION 15.3 DEGREES OF FREEDOM 304
OF STUDENT S T 260 15.4 THE T TEST FOR TWO DEPENDENT
13.6 AN APPLICATION OF STUDENT S T 262 SAMPIES 304
13.7 ASSUMPTION OF POPULATION 15.5 TESTING HYPOTHESES ABOUT TWO
NORMALITY 264 DEPENDENT MEANS: AN EXAMPLE 307
13.8 LEVELS OF SIGNIFICANCE VERSUS 15.6 INTERVAL ESTIMATION OF LLD 309
P VA LUES 265 15.7 SUMMARY 310
13.9 CONSTRUCTING A CONFIDENCE INTERVAL FR 11WHEN (J IS NOT KNOWN 267
CHAPTER 16 COMPARING THE
13.10 SUMMARY 267 MEANS OF THREE OR
CHAPTER 14 COMPARING THE
MORE INDEPENDENT SAMPIES: ONE- WAY
MEANS OFTWO ANALYSIS OF
POPULATIONS: VARIANCE 318
INDEPENDENT
16.1 COMPARING MORE THAN TWO SAMPIES 275 GROUPS: WHY NOT MULTIPLE
14.1 FROM ONE MU (11) TO TWO 275 T TESTS? 318
14.2 STATISTICAL HYPOTHESES 276 16.2 THE STATISTICAL HYPOTHESES IN
14.3 THE SAMPLING DISTRIBUTION OF ONE-WAY ANOVA 319
DIFFERENCES BETWEEN MEANS 277 16.3 THE LOGIC OF ONE- WAY ANOV A: 14.4
ESTIMATING (JX,-X2 280 AN OVERVIEW 320
14.5 THE T TEST FOR TWO INDEPENDENT 16.4 ALISON S REPLY TO GREGORY 323
SAMPIES 281 16.5 PARTITIONING THE SUMS OF SQUARES 324
14.6 TESTING HYPOTHESES ABOUT TWO 16.6 WITHIN-GROUPS AND
BETWEENINDEPENDENT MEANS: AN EXAMPLE 282 GROUPS VARIANCE ESTIMATES 328
14.7 INTERVAL ESTIMATION OF 111- 112 285 16.7 THE FTEST 328
14.8 APPRAISING THE MAGNITUDE OF A 16.8 TUKEY S HSD TEST 330
DIFFERENCE: MEASURES OF EFFECT 16.9 INTERVAL ESTIMATION OF LLI - LLJ 333
SIZE FOR .1 1-.1 2 287 16.10 ONE-WAY ANOVA: SUMMARIZING
14.9 HOW WERE GROUPS FORMED? THE STEPS 334
THE ROLE OF RANDOMIZATION 291 16.11 ESTIMATING THE STRENGTH OF THE
14.10 STATISTICAL INFERENCES AND TREATMENT EFFECT: EFFECT SIZE (&2) 336
NONSTATISTICAL GENERALIZATIONS 292 16.12 AN OVA ASSUMPTIONS (AND 14.11
SUMMARY 293 OTHER CONSIDERATIONS) 337
16.13 SUMMARY 338
CHAPTER 15 COMPARING THE CHAPTER 17 INFERENCES ABOUT THE
MEANS OF DEPENDENT PEARSON CORRELATION
SAMPIES 301 COEFFICIENT 347
15.1 THE MEANING OF DEPENDENT 301 17.1 FROM 11TO P 347
15.2 STANDARD ERROR OF THE DIFFERENCE 17.2 THE SAMPLING DISTRIBUTION OF
R
BETWEEN DEPENDENT MEANS 302 WHEN P = 0 347
IMAGE 5
CONTENTS XI
17.3 TESTING THE STATISTICAL HYPOTHESIS 18.14 THE INDEPENDENCE OF THAT P
= 0 349 OBSERVATIONS 381
17.4 AN EXAMPLE 349 18.15 X 2 AND QUANTITATIVE VARIABLES 382
17.5 IN BRIEF: STUDENT S T 18.16 OTHER CONSIDERATIONS 383
DISTRIBUTION AND THE REGRESSION 18.17 SUMMARY 383
SLOPE (H) 351
17.6 TABLE E 352
CHAPTER 19 STATISTICAL POWER
17.7 THE ROLE OF N IN THE STATISTICAL SIGNIFICANCE OF R 354 (AND HOW TO
17.8 STATISTICAL SIGNIFICANCE VERSUS INCREASE IT) 393
IMPORTANCE (AGAIN) 355
17.9 TESTING HYPOTHESES OTHER THAN 19.1 THE POWER OF A STATISTICAL TEST
393
P=O 355 19.2 POWER AND TYPE 11ERROR 394
17.10 INTERVAL ESTIMATION OF P 356 19.3 EFFECT SIZE (REVISITED) 395
17.11 SUMMARY 358 19.4 FACTORS AFFECTING POWER:
THE EFFECT SIZE 396
19.5 FACTORS AFFECTING POWER:
CHAPTER 18 MAKING INFERENCES SAMPIE SIZE 397
FROM FREQUENCY 19.6 ADDITIONAL FACTORS AFFECTING
DATA 365
POWER 398
19.7 SIGNIFICANCE VERSUS IMPORTANCE 400
FREQUENCY DATA VERSUS SCORE DATA 365 19.8 SELECTING AN APPROPRIATE
18.1
SAMPIE SIZE 400
18.2 A PROBLEM INVOLVING FREQUENCIES: 19.9 SUMMARY 404 THE ONE-VARIABLE
CASE 366 18.3 L: A MEASURE OF DISCREPANCY BETWEEN EXPECTED AND OBSERVED
EPILOGUE A NOTE ON (ALMOST)
FREQUENCIES 367 ASSUMPTION-FREE
18.4 THE SAMPLING DISTRIBUTION OF X 2 369 TESTS 409
18.5 COMPLETION OF THE VOTER SURVEY PROBLEM: THE L GOODNESS-OF-FIT TEST
370 REFERENCES 410 18.6 THE L TEST OF A SINGLE PROPORTION 371 18.7
INTERVAL ESTIMATE OF A SINGLE
PROPORTION 373
18.8 WHEN THERE ARE TWO VARIABLES: APPENDIX A REVIEW OF BASIC
THE L TEST OF INDEPENDENCE 375 MATHEMATICS 412
18.9 FINDING EXPECTED FREQUENCIES IN THE TWO-VARIABLE CASE 376 A.1
INTRODUCTION 412
18.10 CALCULATING THE TWO- VARIABLE X 2 377 A.2 SYMBOLS AND THEIR
MEANING 412
18.11 THE L TEST OF INDEPENDENCE: A.3 ARITHMETIC OPERATIONS INVOLVING
SUMMARIZING THE STEPS 379 POSITIVE AND NEGATIVE NUMBERS 413
18.12 THE 2 X 2 CONTINGENCY TABLE 380 A.4 SQUARES AND SQUARE ROOTS 413
18.13 TESTING A DIFFERENCE BETWEEN A.5 FRACTIONS 414
TWO PROPORTIONS 381 A.6 OPERATIONS INVOLVING PARENTHESES 415
IMAGE 6
XII CONTENTS
A.7 APPROXIMATE NUMBERS, COMPUTATIONAL ACCURACY, AND ROUNDING 416
GLOSSARY
INDEX
453
459
APPENDIX B ANSWERS TO SELECTED END-OF-CHAPTER PROBLEMS 417
APPENDIX C STATISTICAL TABLES 440
USEFNL FORMNLAS 465
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| id | DE-604.BV036856898 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:49:30Z |
| institution | BVB |
| isbn | 9780470574799 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020772748 |
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| spelling | Fundamentals of statistical reasoning in education Theodore Coladarci ... 3. ed. Hoboken, NJ Wiley 2011 XII, 468 S. graph. Darst. 1 CD ROM txt rdacontent n rdamedia nc rdacarrier Wiley Jossey-Bass education Includes bibliographical references and index Bildungsstatistik (DE-588)4006676-9 gnd rswk-swf Bildungsstatistik (DE-588)4006676-9 s DE-604 Coladarci, Theodore Sonstige oth V:DE-604 application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020772748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fundamentals of statistical reasoning in education Bildungsstatistik (DE-588)4006676-9 gnd |
| subject_GND | (DE-588)4006676-9 |
| title | Fundamentals of statistical reasoning in education |
| title_auth | Fundamentals of statistical reasoning in education |
| title_exact_search | Fundamentals of statistical reasoning in education |
| title_full | Fundamentals of statistical reasoning in education Theodore Coladarci ... |
| title_fullStr | Fundamentals of statistical reasoning in education Theodore Coladarci ... |
| title_full_unstemmed | Fundamentals of statistical reasoning in education Theodore Coladarci ... |
| title_short | Fundamentals of statistical reasoning in education |
| title_sort | fundamentals of statistical reasoning in education |
| topic | Bildungsstatistik (DE-588)4006676-9 gnd |
| topic_facet | Bildungsstatistik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020772748&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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