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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 ...
probability  What is the expected number of children until having at ...
$\begingroup$ 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...
How to resolve the ambiguity in the Boy or Girl paradox?
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
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 ...
probability  How many ways can 5 people sit around a table  can ...
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Interpretation of regression coefficients with multiple categorical ...
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 schoolgender system (boyonly, girlonly, mixed) in a model like: y ~ sex + schoolgend. Here, we expect 4 coefficients.
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.
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 ...
hypothesis testing  Choosing between a MANOVA and a series of ttests ...
Simple ANOVA is a test of significance used to determine whether scores from two or more groups are significantly different at a selected probability level. Whereas, the t test is appropriate test of difference between the means of two groups at a time (e.g., boys and girls).
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).
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