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Fundamentals of statistical reasoning in education / (Record no. 808)

MARC details
000 -LEADER
fixed length control field 11201cam a2200229 a 4500
001 - CONTROL NUMBER
control field 2069
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20200708111054.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 070426s2008 njua b 001 0 eng
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780470084069 (paper/CDROM)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 0470084065 (paper/CDROM)
040 ## - CATALOGING SOURCE
Transcribing agency DLC
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 370.2/1
Edition number 22
Item number C683
245 00 - TITLE STATEMENT
Title Fundamentals of statistical reasoning in education /
Statement of responsibility, etc Theodore Coladarci
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Hoboken, NJ :
Name of publisher, distributor, etc John Wiley & Sons,
Date of publication, distribution, etc c2008.
300 ## - PHYSICAL DESCRIPTION
Extent xiv, 482 p.
Other physical details ill. ;
Dimensions 24 cm. +
Accompanying material 1 CD-ROM (4 3/4 in.)
500 ## - GENERAL NOTE
General note Includes bibliographical references (p. 419-420) and index.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Educational statistics.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Coladarci, Theodore.
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Contents<br/>Chapter 1 introduction 1<br/>Why statistics? 1<br/>Descriptive statistics 2<br/>Inferential statistics 3<br/>The role of statistics in<br/>Educational research 4<br/>Variables and their<br/>Measurement 5<br/>Some tips on studying<br/>Statistics 9<br/>Part i<br/>Descriptive statistics 13<br/>Chapter 2 frequency<br/>Distributions 15<br/>2.1 why organize data? 15<br/>2.2 frequency distributions for<br/>Quantitative variables 15<br/>2.3 grouped scores 17<br/>2.4 some guidelines for forming<br/>Class intervals 18<br/>2.5 constructing a grouped-data<br/>Frequency distribution 19<br/>2.6 the relative frequency<br/>Distribution 21<br/>2.7 exact limits 22<br/>2.8 the cumulative percentage<br/>Frequency distribution 24<br/>2.9 percentile ranks 25<br/>2.10 frequency distributions for<br/>Qualitative variables 27<br/>2.11 summary 28<br/>Chapter 3 graphic<br/>Representation 37<br/>3.1 why graph data? 37<br/>3.2 graphing qualitative data: the<br/>Bar chart 37<br/>3.3 graphing quantitative data: the<br/>Histogram 38<br/>3.4 the frequency polygon 42<br/>3.5 comparing different<br/>Distributions 43<br/>3.6 relative frequency and<br/>Proportional area 44<br/>3.7 characteristics of frequency<br/>Distributions 46<br/>3.8 the box plot 49<br/>3.9 summary 51<br/>Chapter 4 central tendency 59<br/>4.1 the concept of central tendency 59<br/>4.2 the mode 59<br/>4.3 the median 60<br/>4.4 the arithmetic mean 62<br/>4.5 central tendency and<br/>Distribution symmetry 64<br/>4.6 which measure of central<br/>Tendency to use? 66<br/>4.7 summary 67<br/>Ix<br/>Revised<br/>78001 f04.3d ggs 3/15/07 19:9<br/>Chapter 5 variability 75<br/>5.1 central tendency is not enough:<br/>The importance of variability 75<br/>5.2 the range 76<br/>5.3 variability and deviations from<br/>The mean 77<br/>5.4 the variance 78<br/>5.5 the standard deviation 79<br/>5.6 the predominance of the<br/>Variance and standard<br/>Deviation 81<br/>5.7 the standard deviation and the<br/>Normal distribution 81<br/>5.8 comparing means of two<br/>Distributions: the relevance of<br/>Variability 82<br/>5.9 in the denominator: n vs. N 21 85<br/>5.10 summary 85<br/>Chapter 6 normal distributions<br/>And standard scores 91<br/>6.1 a little history: sir francis<br/>Galton and the normal curve 91<br/>6.2 properties of the normal curve 92<br/>6.3 more on the standard deviation<br/>And the normal distribution 93<br/>6.4 z scores 95<br/>6.5 the normal curve table 97<br/>6.6 finding area when the score is<br/>Known 99<br/>6.7 reversing the process: finding<br/>Scores when the area is known 102<br/>6.8 comparing scores from different<br/>Distributions 104<br/>6.9 interpreting effect size 105<br/>6.10 percentile ranks and the normal<br/>Distribution 107<br/>6.11 other standard scores 108<br/>6.12 standard scores do not<br/>??Normalize?? A distribution 109<br/>6.13 the normal curve and<br/>Probability 110<br/>6.14 summary 110<br/>Chapter 7 correlation 119<br/>7.1 the concept of association 119<br/>7.2 bivariate distributions and<br/>Scatterplots 119<br/>7.3 the covariance 124<br/>7.4 the pearson r 130<br/>7.5 computation of r: the calculating<br/>Formula 133<br/>7.6 correlation and causation 135<br/>7.7 factors influencing pearson r 136<br/>7.8 judging the strength of<br/>Association: r 2 139<br/>7.9 other correlation coefficients 141<br/>7.10 summary 141<br/>Chapter 8 regression and<br/>Prediction 149<br/>8.1 correlation versus prediction 149<br/>8.2 determining the line of<br/>Best fit 150<br/>8.3 the regression equation in<br/>Terms of raw scores 153<br/>8.4 interpreting the raw-score<br/>Slope 156<br/>8.5 the regression equation in<br/>Terms of z scores 157<br/>8.6 some insights regarding<br/>Correlation and prediction 158<br/>8.7 regression and sums of squares 161<br/>8.8 measuring the margin of<br/>Prediction error: the standard<br/>Error of estimate 163<br/>8.9 correlation and causality<br/>(revisited) 168<br/>8.10 summary 169<br/>X contents<br/>Revised<br/>78001 f04.3d ggs 3/15/07 19:9<br/>Part 2<br/>Inferential statistics 179<br/>Chapter 9 probability and<br/>Probability<br/>Distributions 181<br/>9.1 statistical inference: accounting<br/>For chance in sample results 181<br/>9.2 probability: the study of chance 182<br/>9.3 definition of probability 183<br/>9.4 probability distributions 185<br/>9.5 the or/addition rule 187<br/>9.6 the and/multiplication rule 188<br/>9.7 the normal curve as a<br/>Probability distribution 189<br/>9.8 ??So what??? Probability<br/>Distributions as the basis for<br/>Statistical inference 192<br/>9.9 summary 192<br/>Chapter 10 sampling<br/>Distributions 197<br/>10.1 from coins to means 197<br/>10.2 samples and populations 198<br/>10.3 statistics and parameters 199<br/>10.4 random sampling model 200<br/>10.5 random sampling in practice 201<br/>10.6 sampling distributions of means 202<br/>10.7 characteristics of a sampling<br/>Distribution of means 204<br/>10.8 using a sampling distribution<br/>Of means to determine<br/>Probabilities 207<br/>10.9 the importance of sample<br/>Size (n) 211<br/>10.10 generality of the concept of a<br/>Sampling distribution 212<br/>10.11 summary 213<br/>Chapter 11 testing statistical<br/>Hypotheses about m<br/>When s is known:<br/>The one-sample<br/>Z test 221<br/>11.1 testing a hypothesis about m:<br/>Does ??Homeschooling?? Make a<br/>Difference? 221<br/>11.2 dr. Meyer?s problem in a<br/>Nutshell 222<br/>11.3 the statistical hypotheses:<br/>H0 and h1 223<br/>11.4 the test statistic z 225<br/>11.5 the probability of the test<br/>Statistic: the p value 226<br/>11.6 the decision criterion: level of<br/>Significance (a) 227<br/>11.7 the level of significance and<br/>Decision error 229<br/>11.8 the nature and role of h0 and h1 231<br/>11.9 rejection versus retention of h0 232<br/>11.10 statistical significance versus<br/>Importance 233<br/>11.11 directional and nondirectional<br/>Alternative hypotheses 235<br/>11.12 prologue: the substantive versus<br/>The statistical 237<br/>11.13 summary 239<br/>Chapter 12 estimation 247<br/>12.1 hypothesis testing versus<br/>Estimation 247<br/>12.2 point estimation versus interval<br/>Estimation 248<br/>12.3 constructing an interval estimate<br/>Of m 249<br/>12.4 interval width and level of<br/>Confidence 252<br/>12.5 interval width and sample size 253<br/>Contents xi<br/>Revised<br/>78001 f04.3d ggs 3/15/07 19:9<br/>12.6 interval estimation and<br/>Hypothesis testing 253<br/>12.7 advantages of interval estimation 255<br/>12.8 summary 256<br/>Chapter 13 testing statistical<br/>Hypotheses about m<br/>When s is not<br/>Known: the<br/>One-sample t test 263<br/>13.1 reality: s often is unknown 263<br/>13.2 estimating the standard error of<br/>The mean 264<br/>13.3 the test statistic t 266<br/>13.4 degrees of freedom 267<br/>13.5 the sampling distribution of<br/>Student?s t 268<br/>13.6 an application of student?s t 270<br/>13.7 assumption of population<br/>Normality 272<br/>13.8 levels of significance versus<br/>P values 273<br/>13.9 constructing a confidence interval<br/>For m when s is not known 275<br/>13.10 summary 275<br/>Chapter 14 comparing the<br/>Means of two<br/>Populations:<br/>Independent<br/>Samples 283<br/>14.1 from one mu to two 283<br/>14.2 statistical hypotheses 284<br/>14.3 the sampling distribution of<br/>Differences between means 285<br/>14.4 estimating sx12x2 288<br/>14.5 the t test for two independent<br/>Samples 289<br/>14.6 testing hypotheses about two<br/>Independent means: an example 290<br/>14.7 interval estimation of m1 2 m2 293<br/>14.8 appraising the magnitude of a<br/>Difference: measures of effect<br/>Size for x12x2 295<br/>14.9 how were groups formed?<br/>The role of randomization 299<br/>14.10 statistical inferences and<br/>Nonstatistical generalizations 300<br/>14.11 summary 301<br/>Chapter 15 comparing the<br/>Means of dependent<br/>Samples 309<br/>15.1 the meaning of ??Dependent?? 309<br/>15.2 standard error of the difference<br/>Between dependent means 310<br/>15.3 degrees of freedom 312<br/>15.4 the t test for two dependent<br/>Samples 312<br/>15.5 testing hypotheses about two<br/>Dependent means: an example 315<br/>15.6 interval estimation of md 317<br/>15.7 summary 318<br/>Chapter 16 comparing the<br/>Means of three or<br/>More independent<br/>Samples: one-way<br/>Analysis of<br/>Variance 327<br/>16.1 comparing more than two<br/>Groups: why not multiple t tests? 327<br/>16.2 the statistical hypotheses in<br/>One-way anova 328<br/>16.3 the logic of one-way anova:<br/>An overview 329<br/>16.4 alison?s reply to gregory 332<br/>16.5 partitioning the sums of squares 333<br/>16.6 within-groups and between-<br/>Groups variance estimates 337<br/>Xii contents<br/>Revised<br/>78001 f04.3d ggs 3/15/07 19:9<br/>16.7 the f test 337<br/>16.8 tukey?s ??Hsd?? Test 339<br/>16.9 interval estimation of mi 2 mj 342<br/>16.10 one-way anova: summarizing<br/>The steps 343<br/>16.11 estimating the strength of the<br/>Treatment effect: effect size (o? 2) 345<br/>16.12 anova assumptions (and<br/>Other considerations) 346<br/>16.13 summary 347<br/>Chapter 17 inferences about<br/>The pearson<br/>Correlation<br/>Coefficient 357<br/>17.1 from m to r 357<br/>17.2 the sampling distribution of r<br/>When r 5 0 357<br/>17.3 testing the statistical hypothesis<br/>That r 5 0 359<br/>17.4 an example 359<br/>17.5 table e 361<br/>17.6 the role of n in the statistical<br/>Significance of r 363<br/>17.7 statistical significance versus<br/>Importance (again) 364<br/>17.8 testing hypotheses other than<br/>R 5 0 364<br/>17.9 interval estimation of r 365<br/>17.10 summary 367<br/>Chapter 18 making inferences<br/>From frequency<br/>Data 375<br/>18.1 frequency data versus score data 375<br/>18.2 a problem involving frequencies:<br/>The one-variable case 376<br/>18.3 x2: a measure of discrepancy<br/>Between expected and observed<br/>Frequencies 377<br/>18.4 the sampling distribution of x2 379<br/>18.5 completion of the voter survey<br/>Problem: the x2 goodness-of-fit<br/>Test 380<br/>18.6 the x2 test of a single proportion 381<br/>18.7 interval estimate of a<br/>Single proportion 383<br/>18.8 when there are two variables:<br/>The x2 test of independence 385<br/>18.9 the null hypothesis of<br/>Independence 387<br/>18.10 calculating the two-variable x2 388<br/>18.11 the x2 test of independence:<br/>Summarizing the steps 391<br/>18.12 the 2 _ 2 contingency table 392<br/>18.13 testing a difference between<br/>Two proportions 393<br/>18.14 the independence of<br/>Observations 393<br/>18.15 x2 and quantitative variables 394<br/>18.16 other considerations 395<br/>18.17 summary 395<br/>Chapter 19 statistical ??Power??<br/>(and how to<br/>Increase it) 403<br/>19.1 the power of a statistical test 403<br/>19.2 power and type ii error 404<br/>19.3 effect size (revisited) 405<br/>19.4 factors affected power:<br/>The effect size 406<br/>19.5 factors affecting power:<br/>Sample size 407<br/>19.6 additional factors affecting<br/>Power 408<br/>19.7 significance versus importance 410<br/>19.8 selecting an appropriate<br/>Sample size 410<br/>19.9 summary 414<br/>References 419<br/>Contents xiii<br/>Revised<br/>78001 f04.3d ggs 3/15/07 19:9<br/>Appendix a review of basic<br/>Mathematics 421<br/>A.1 introduction 421<br/>A.2 symbols and their meaning 421<br/>A.3 arithmetic operations involving<br/>Positive and negative numbers 422<br/>A.4 squares and square roots 422<br/>A.5 fractions 423<br/>A.6 operations involving parentheses 424<br/>A.7 approximate numbers,<br/>Computational accuracy, and<br/>Rounding 425<br/>Appendix b answers to selected<br/>End-of-chapter<br/>Problems 426<br/>Appendix c statistical tables 448<br/>Index 461<br/>Xiv contents<br/>
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