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# Contingency Tables Essay

The two nominal level variables are respondent’s sex and marital status. The independent variable is respondent’s sex and dependent variable is respondent’s marital status. The null and alternate hypotheses are Null hypothesis, H0: Marital status is independent of sex. Alternate Hypothesis, H1: Marital status is dependent on sex. The variable sex measures respondent’s gender. The valid categories of measurement for the variable sex are ‘Male’ and ‘Female’ and they are coded as 1 and 2, respectively. The variable is a good example for the nominal level of measurement, as it merely identifies a category.

The variable marital status measures respondent marital status. The valid categories of measurement for the variable marital status are ‘Married’, ‘Widowed’, ‘Divorced’, ‘Separated’ and ‘Never married’ and they are coded as 1, 2, 3, 4 and 5, respectively. The variable is a good example for the nominal level of measurement, as it merely identifies a category. Majority (57. 3%) of the respondent’s were male. Majority (53. 0%) of the respondent’s were married. The percentage of respondents widowed, divorced, separated and never married were 11. 0%, 14. 2%, 2. 7% and 19. 1%, respectively.

Table 1 shows the cross-tabulation of respondent’s marital status by sex. The distribution of male respondent’s for married, widowed, divorced, separated and never married were 59. 8%, 4. 8%, 11. 7, 1. 4% and 22. 2%, respectively. The distribution of female respondent’s for married, widowed, divorced, separated and never married were 48. 0%, 15. 6%, 16. 1, 3. 6% and 16. 8%, respectively. The table provides an evidence of correlation (association) between respondent’s sex and marital status in the sample. There appears a weak association between respondent’s sex and marital status.

In general, the information summarized in the table 1 seems to provide evidence supporting research (alternate) hypothesis, as the distribution of male and females respondent’s for marital stratus are not similar. The value of nominal directional measure of association lambda is 0. This indicates no relationship between respondent’s sex and marital status that is knowing the respondent’s sex does not increase the ability to predict his or her marital status. This statistics (lambda) does not improve upon the use of column percentages to evaluate the given correlation.

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