CRIM 320 Lecture Notes - Null Hypothesis, Joint Probability Distribution, Frequency Distribution

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Testing the null hypothesis that two categorical variables (nominal, ordinal) are independent. Definition: the joint frequency distribution of two categorical variables refers to the simultaneous occurrence of the first variable and another vent form the second variable (bachman et al, 2004) Analysis can only be done on the information which is available for both cases, i. e. , if the second chart has missing information for a number of kids, pay attention to it. 2x2 able= 4 possible outcomes (1) no early onset no fight between 15-18 (2) early onset no fight between 15-18 (3) no early onset fight between 15-18 (4) early onset fight between 15-18. A simple way to investigate a relationship between two categorical variables. For each cell the outcome is divided by the row marginal and multiplied by 100. For late onset offenders: 60. 6% did not fight (215/355*100, 39. 4% did fight (140/355*100) For early onset offenders: 35. 3 did not fight (12/34*100, 64. 7 did fight (22/34*100)

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