## Introduction to Measurement TheoryThis book is intended to serve as a text and reference book for people who are using or constructing psychological tests and interpreting test scores and scales. It is designed for people who understand collage algebra and who have some famuliarity with elementary statistics, for those lacking this familiarity or desiring a review. |

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Page 33

If these three assumptions are met, the confidence intervals can be interpreted in

the following manner. When a

level (let's say at a 95% level) are constructed for a

If these three assumptions are met, the confidence intervals can be interpreted in

the following manner. When a

**large number**of confidence intervals at a certainlevel (let's say at a 95% level) are constructed for a

**large number**of examinees, ...Page 161

The norm group used to develop expectancy tables should be large enough to

ensure that the probabilities in the table are reasonably stable. For a test with

wide applications , a

relate ...

The norm group used to develop expectancy tables should be large enough to

ensure that the probabilities in the table are reasonably stable. For a test with

wide applications , a

**large number**of expectancy tables may be necessary torelate ...

Page 249

11.4 Poisson Models Poisson models are appropriate for test scores based on a

or wrong answers on these tests. If the number of right answers is examined, the

...

11.4 Poisson Models Poisson models are appropriate for test scores based on a

**large number**of items . The Poisson model can be applied to the number of rightor wrong answers on these tests. If the number of right answers is examined, the

...

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#### LibraryThing Review

User Review - foreyer - LibraryThingThis was one of the books I had to read to ramp up on Psycometrics (educational exam/test analysis and statistics). I read about 6/7 chapters and read at least 2 of them 3 times. This is actually well written and easy to follow (compared to other math books). Read full review

### Contents

Introduction | 1 |

Classical TrueScore Theory | 56 |

Reliability | 72 |

Copyright | |

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### Common terms and phrases

assumptions base rate binomial-error model biserial calculate ceiling effect Chapter classical true-score theory confidence intervals correlation coefficient criterion scores criterion-referenced tests cutting score dichotomous discrimination equal intervals error of measurement error scores error variance exam examinee's examinees example factor analysis Figure formula scores frequency distribution generalizability theory grade scores homoscedasticity information function interpretation item difficulty item-characteristic curve large number latent latent-trait models latent-trait values level of measurement linear logistic model mean measurement theory method normal distribution normal-ogive number of items observed scores observed test scores observed-score variance obtained parallel tests percentile rank phi coefficient point-biserial correlation population prediction probability procedures produce Rasch's ratio raw scores raw-score regression line relationship sample scale values Section selection Spearman-Brown formula standard deviation standard error standardized scores statistical test developer test reliability test user test's total test scores trait value transformation true scores true-score variance validity coefficient variable