Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781452286907
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 17.9, Problem 5.2LC
To determine

Find the measure of effect size that can be used with a 3 × 3 chi-square test for independence.

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The table below was compiled for a middle school from the 2003 English/Language Arts PACT exam.   Grade   6 7 8 Below Basic 60 62 76 Basic 87 134 140 Proficient 87 102 100 Advanced 42 24 21   Partition the likelihood ratio test statistic into 6 independent 1 df components. What conclusions can you draw from these components?
What is the value of the maximum likelihood estimate, θ, of θ based on these data? Justify your answer. What does the value of θ suggest about the value of θ for this biased die compared with the value of θ associated with a fair, unbiased, die?
Show that L′(θ) = Cθ394(1 −2θ)604(395 −2000θ).
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Chi Square test; Author: Vectors Academy;https://www.youtube.com/watch?v=f53nXHoMXx4;License: Standard YouTube License, CC-BY