MATH 1F92 Lecture Notes - Lecture 11: Probability Distribution, Test Statistic, Frequency Distribution
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So far i(cid:374) the pre(cid:448)ious (cid:272)hapters (cid:894)9,(cid:1005)(cid:1004) a(cid:374)d (cid:1005)(cid:1005)(cid:895), (cid:449)e(cid:859)(cid:448)e looked at i(cid:374)fere(cid:374)(cid:272)es regarding certain parameters. Parameters are not the only thing we can test! It is also possible to test how well a frequency distribution follows a specific discrete distribution. Goodness-of-fit test: an inferential procedure used to determine whether a freq follows a specific discrete distr. Examples of discrete distributions we can test: percentages of brock university students in different faculties: The following table demonstrates the relative number of students in each faculty in 2015/2016 year, the following table demonstrates the relative number of students in each faculty. We want to know if the distribution is roughly the same in the 2016/2017 year. (0. 4 round down, 0. 5 round up) 23 (cid:2777): distr of (cid:271)ro(cid:272)k stude(cid:374)ts i(cid:374) diff fa(cid:272)ulties for (cid:1005)(cid:1010)/(cid:1005)(cid:1011) has(cid:374)(cid:859)t (cid:272)ha(cid:374)ged si(cid:374)(cid:272)e (cid:1005)(cid:1009)/(cid:1005)(cid:1010). (cid:2778): distr of brock students in diff faculties for 16/17 has changed since 15/16: distribution of m & m colors in a bag: