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Bookmark or Share- Hypothesis testing: Fisher's exact test and Binomial testThe result obtained with the Fisher's exact test ("no significant difference between the proportion of girls and boys who finds that the cake tastes good") seems to contradict the results in (1) and (2), which say that the "more than 50% of the population of girls find that the cake tastes good" (1), and "no more than 50% of boys find that the ...
- probability - What is the expected number of children until having the ...You can consider starting from position 1 for the difference of boys/girls and move up and down randomly with 50% probability until reaching zero. These type of walks have been described here: What is the distribution of time's to ruin in the gambler's ruin problem (random walk)? and based on the results in those answers we can see that the ...
- Sample notation: When to use capital $N$ vs lowercase $n$?The same type style is used in text, tables, and figures. Use standard type for Greek letters, subscripts and superscripts that function as identifiers (i.e., are not variables, as in the subscript “girls” in the example that follows), and abbreviations that are not variables (e.g., log, GLM, WLS).
- Significance test for difference in two proportions over time with ...So, for example, the proportion of 3rd graders with blonde hair, comparing boys and girls, if every year I measured a sample of 3rd grade boys and girls. I thought of this perhaps as a repeated measures analysis, but decided against it because these are actually independent samples, each year there is a total new crop of 3rd graders.
- Can chi-square test be used on non-integer observed frequencies?If you assume that the prevalence is higher among girls than boys then your sample estimate would be deflated because the sample does not represent the population well. What you do here is that you employ weights to cases and you will declare that each male participant has the weight of 0.83, and each female participant has the weight of 1.25 ...
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