Purchase Solution

ANOVA, Mean Square and Common Pop Variance

Not what you're looking for?

Ask Custom Question

In an effort to counteract student cheating, the professor of a large class created four versions of a midterm exam, distributing the four versions among the students in the class. After the exam, students from the class got together and petitioned to nullify the results on the grounds that the four versions were not equal in difficulty.

To investigate the students' assertion, the professor examined the means and variances of the scores on the different versions of the exam, obtaining the following information (the exam had possible points).

Sample Sample Sample
Size Mean Variance
Version A 84 151.8 347.1
Version B 84 152.3 333.7
Version C 84 157.9 423.6
Version D 84 155.8 465.5

Taking the scores for each version of the exam as a sample of scores for that version, the professor performed a one-way, independent-samples ANOVA test of the equality of the population mean scores for the four versions.

What is the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA test?
What is the value of the mean square for treatments (the "between groups" mean square) that would be reported in the ANOVA test?
Carry your intermediate computations to at least three decimal places, and round your responses to at least one decimal place.

Purchase this Solution
Solution Summary

The solution performs ANOVA for anti-cheating measures in a large class.

Purchase this Solution
Free BrainMass Quizzes
Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

View More Free Quizzes
Related BrainMass Solutions

  • ANOVA for Emma's On-the-Go

    When the populations all have the same mean, the mean square for treatments is an unbiased estimate of their common variance.

  • Use of Kruskal-Wallace and ANOVA

    We wish to test the null hypothesis that each population has the same mean; i.e., that the mean is independent of population. The technique to be used is called analysis of variance (ANOVA).

  • ANOVA for LLD Records Problem

    247089 ANOVA: Mean Squares and the Common Population Variance ANOVA: Mean squares and the common population variance At LLD Records, some of the market research of college students is done during promotions on college campuses, while other market research

  • Hypothesis testing problems

    a- What's the value of the mean square for error (the "within groups" mean square) that would be reported in the ANOVA test?

  • Analysis of variance: management

    What is an unbiased estimate of this common population variance based on the sample variances? = Mean square error = 127800.3 Using the 0.05 level of significance, what is the critical value of the F statistic for the ANOVA test?

  • Statistics: Solving an ANOVA

    Source of Variance Degree of Freedom Sum of Squrares Mean square FStat treatment between groups 2 1015.4 507.7 ?

  • Test of hypothesis, Confidence Interval

    FIND: 95% CONFIDENCE INTERVAL for pop mean concentration Mean=M = 7 Standard deviation =s= 2 sample size=n= 25 sx=standard error of mean=s/square root of n= 0.4 = ( 2 /square root of 25) Confidence level= 95% Therefore

  • Variance Assumption of ANOVAs and Parametric Tests

    • The ANOVA model is based on the proportion of the mean squares of the factors and the residual mean squares • The residual mean square is the unbiased estimator of s2, the variance of a single observation • The between treatment mean squares

  • Statistics: Discuss Anova, p-value and related terms

    ANOVA - In statistics, analysis of variance (ANOVA) is a collection of statistical models, and their associated procedures, in which the observed variance is partitioned into components due to different explanatory variables.

View More Related Solutions