probability - What is the expected number of children until having …
2023年8月5日 · 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 ...
probability - What is the expected number of children until having …
2018年4月1日 · $\begingroup$ That can't be right, and you can see that by noting that the MINIMUM number of children is 2. If the expected number of children = the minimum number of children, it must be that there is no possibility of having more children than the minimum number - otherwise the expected number of children would be greater than the minimum number...
probability - How many ways can 5 people sit around a table - can ...
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How to resolve the ambiguity in the Boy or Girl paradox?
2023年7月4日 · Interpretation 1: Given that one of the children (e.g. the first) is a boy. 1st 2nd. boy girl. boy boy. Then the probability for both children being a boy is 1/2. Interpretation 2: Given that one of the children is a boy (ie. a boy is among the first and/or the second) 1st 2nd.
Hypothesis testing: Fisher's exact test and Binomial test
2022年2月9日 · The ratio, 12/14 = 6/7 12 / 14 = 6 / 7, is the same, but the binomial test would give you p ≈ 0.0065 p ≈ 0.0065, i.e. significant. The H0 H 0 you work with in the binomial test is that P(P (tasty)= 0.5) = 0.5. In Fisher's exact test, you have a different hypothesis. You assume that the ratio good/bad is 13/15 13 / 15, regardless of the sex ...
Significance test for difference in two proportions over time with ...
2019年10月8日 · 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.
Why is gender typically coded 0/1 rather than 1/2, for example?
$\begingroup$ Using a 0/1 coding scheme is essentially useful when applying regression models among others, although several coding schemes are possible, e.g. -1/1 (but it will change the interpretation of the regression coefficients).
regression - Building a linear model for a ratio vs. percentage ...
26. Suppose I want to build a model to predict some kind of ratio or percentage. For example, let's say I want to predict the number of boys vs. girls who will attend a party, and features of the party I can use in the model are things like amount of advertising for the party, size of the venue, whether there will be any alcohol at the party ...
Interpretation of regression coefficients with multiple categorical ...
2021年9月26日 · 7. This question has an UPDATE. There is a nice answer HERE regarding how to interpret regression coefficients when predictors each consist of two categories in R. But imagine we have students' sex (boys, girls) and the school-gender system (boy-only, girl-only, mixed) in a model like: y ~ sex + schoolgend. Here, we expect 4 coefficients.
How to compute correlation between/within groups of variables?
Correlation within groups of variables (among characteristics): some measure of whether the variables within the group of variables are measuring the same thing. Correlation between groups of variables: some measure, assuming that each group reflects one overall trait, of how each trait (group) is related to every other trait.