An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 10 observations. The degrees of freedom for the critical value of F are 6 numerator and 20 denominator degrees of freedom 5 numerator and 20 denominator degrees of freedom 5 numerator and 54 denominator degrees of freedom 6 numerator and 20 denominator degrees of freedom
Question
An ANOVA procedure is applied to data obtained from 6 samples where each sample contains 10 observations. The degrees of freedom for the critical value of F are 6 numerator and 20 denominator degrees of freedom 5 numerator and 20 denominator degrees of freedom 5 numerator and 54 denominator degrees of freedom 6 numerator and 20 denominator degrees of freedom
Solution
The degrees of freedom for an ANOVA test are calculated based on the number of groups (samples) and the total number of observations.
The degrees of freedom for the numerator (between groups) is calculated as the number of groups minus 1. In this case, there are 6 samples, so the numerator degrees of freedom would be 6 - 1 = 5.
The degrees of freedom for the denominator (within groups) is calculated as the total number of observations minus the number of groups. Here, each of the 6 samples contains 10 observations, so there are a total of 6 * 10 = 60 observations. Therefore, the denominator degrees of freedom would be 60 - 6 = 54.
So, the correct answer is 5 numerator and 54 denominator degrees of freedom.
Similar Questions
An ANOVA procedure is used for data that was obtained from four sample groups each comprised of five observations. The degrees of freedom for the critical value of F areGroup of answer choices3 and 163 and 193 and 204 and 17
The critical F value with 6 numerator and 60 denominator degrees of freedom at 0.05 level of significance is ___. Group of answer choices2.252.372.172.53
How is the F-statistic in an ANOVA test calculated?a.)The variance between the samples minus the variance within the samplesb.)The variance between the samples plus the variance within the samplesc.)The variance between the samples divided by the variance within the samplesd.)The variance between the samples multiplied by the variance within the samples
What does ANOVA calculate?a.chi-squareb.z-valuec.F-ratiod.t-value
The ANOVA procedure is a statistical approach for determining whether or not the means of ___.Group of answer choicestwo or more populations are equalmore than two samples are equaltwo or more samples are equaltwo samples are equal
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