Exam 10: Hypothesis Testing Iii the Analysis of Variance

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In the ANOVA test, degrees of freedom within (dfw) are equal to ______ and degrees of freedom between (dfb) are equal to (k - 1).

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In the ANOVA test, the symbol 'dfw' refers to________.

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A useful computational shortcut for the ANOVA test is expressed as________.

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Three different sections of the same Interstate highway, with roughly equal traffic volumes, have been patrolled by the State Police at different levels of intensity for the past six months. The posted speed limit is 55 and the speeds of a random sample of motorists have been registered for each of the three sections. Is there any statistically significant difference in the speeds? Use the five step model as a guide and write a sentence or two of interpretation for your results. Three different sections of the same Interstate highway, with roughly equal traffic volumes, have been patrolled by the State Police at different levels of intensity for the past six months. The posted speed limit is 55 and the speeds of a random sample of motorists have been registered for each of the three sections. Is there any statistically significant difference in the speeds? Use the five step model as a guide and write a sentence or two of interpretation for your results.

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In the ANOVA test, if the null hypothesis is true________.

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Stated generally, the null hypothesis for the ANOVA test is________.

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Analysis of Variance based upon the effect of a single variable upon another is a________.

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The degrees of freedom for the Sum of Squares Within (SSW) is based upon the________.

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In an ANOVA test, when the null hypothesis is rejected, we know that at least one of the means is significantly different from the others. In order to find out which mean(s) are significantly different, we must conduct a________.

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The ANOVA test uses means and standard deviations to compare the amount of variation ______________ with the amount of variation ______________.

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The quantity SSW measures the amount of variation________.

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ANOVA may be thought of as an extension of the ______________.________.

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When we have an interval-ratio dependent variable and are comparing two groups, the appropriate test of significance is the ________. When we have an interval-ratio dependent variable and are comparing three or more groups, the appropriate test of significance is the ________.

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A researcher is analyzing regional differences in family size. She has information on number of children for samples of families from four regions. Which of the following would be an appropriate statistical test?

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The degrees of freedom for the Sum of Squares Between (SSB) is based upon the________.

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For ANOVA, we construct two estimates of the population variance. These are called________.

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One limitation of ANOVA is that, when the null hypothesis is rejected, the test________.

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