Chat with AIExam 15: The Analysis of Frequency Tables
What procedures could one use to interpret larger tables of counts that produced statistically significant chi-square values? How do these procedures help in the interpretation of the table of counts?
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Answered by Examlex AI CopilotThere are several procedures that one could use to interpret larger tables of counts that produced statistically significant chi-square values. One common approach is to conduct post-hoc tests, such as residual analysis or pairwise comparisons, to identify specific cells in the table that are contributing to the significant chi-square value. Residual analysis involves examining the standardized residuals for each cell in the table to determine which cells have larger or smaller counts than would be expected by chance. Pairwise comparisons involve comparing the observed counts in each cell to the expected counts under the null hypothesis to identify specific differences that are driving the significant chi-square value.
These procedures help in the interpretation of the table of counts by providing more detailed information about the specific patterns or relationships that are driving the overall significant chi-square value. By identifying specific cells or categories that are contributing to the significant result, researchers can gain a better understanding of the underlying factors that are influencing the distribution of counts in the table. This can help to inform further analysis or interpretation of the data and provide more nuanced insights into the relationships between the variables being studied. Overall, these procedures help to unpack the meaning behind the statistically significant chi-square value and provide a more comprehensive understanding of the patterns in the table of counts.
One useful tool for evaluating the practical importance of an observed result is the
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VerifiedC
The binomial effect size display can be used to evaluate the __________ an observed result.
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A procedure for interpreting large tables of counts that involves computing additional chi-squares on portions of the overall table is referred to as
(40) Under what conditions would one use a chi-square rather than a t or F test to test the null hypothesis?
(31) Which of the following statistics is useful as a significance test for examining tables of counts?
(36) What does a significant chi-square with more than 1 df indicate? What does it not indicate?
(33) The procedure in which one tries to set all the row totals equal to each other and all the column totals equal to each other in order to interpret a statistically significant chi-square with more than 1 df is called
(39) If one wanted to determine immediately whether an observed relation has occurred by chance or not, one could use all of the following statistics EXCEPT for
(34) John finds a significant chi-square value with 2 df. What should he do next?
(31) What is the purpose of the binomial effect size display (BESD)? How does one construct and interpret a BESD?
(40) What is the expected frequency in the right-hand upper cell of the following table? 4 2 6 8
(37) The obtained chi-square value must be __________ the degrees of freedom before one can begin to doubt the null hypothesis.
(34) Stacy is interested in determining whether there is a relation between one's year in school (i.e., freshman, sophomore, junior, or senior) and whether one is participating in on-campus activities. Which statistical test should Stacy use?
(30) The number of degrees of freedom associated with a chi-square based on a 2 × 3 table of counts is
(28) How does chi-square test the relation between two variables in a table of counts?
(37) Linda wants to know whether there are equal numbers of men and women in the different majors at her college. Which statistic should Linda use to answer this question?
(35) Chi-square assesses the discrepancy between the observed frequencies and the __________ frequencies in a table of counts.
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