Linked Questions

2 votes
1 answer
1k views

How to compare conversion rates from AB test when users visit multiple times [duplicate]

I've been asked to compute the minimum sample size for an AB test that my company is conducting for a tweaked recommender system. We will choose two groups of users, one of which sees only the A ...
gasbag_1's user avatar
  • 157
9 votes
5 answers
3k views

Can a variable be normally distributed on finite interval?

I am calculating rates, which can take any value between 0 and 1. Can it be normally distributed even though the domain is not the real numbers? Thank you very much for the answers, here I represent ...
ThePhysicist92's user avatar
15 votes
4 answers
18k views

Test for significant difference in ratios of normally distributed random variables

Related to Analysing ratios of variables and How to parameterize the ratio of two normally distributed variables, or the inverse of one?. Suppose I have a number of samples from four different ...
Sami Liedes's user avatar
3 votes
1 answer
9k views

estimation of population ratio using delta method [closed]

am writing a seminar on estimation of population ratio using delta method and am having problem on the literature review. i have written the introduction but need help on on how to use delta method to ...
user avatar
9 votes
1 answer
4k views

Multivariate response regressions vs many linear models

Would anyone be willing to venture an intuitive description of the situations under which a multivariate response model is more appropriate than many linear regressions? As an example, take a ...
generic_user's user avatar
  • 13.7k
14 votes
2 answers
1k views

How to determine the distribution of a parameter fit by nonlinear regression

The example above shows enzyme kinetics -- enzyme velocity as a function of substrate concentration. The well-established Michaelis-Menten equation is: $Y=V_{max} \cdot \dfrac{X}{K_m + X}$ $X$ are ...
Harvey Motulsky's user avatar
7 votes
1 answer
5k views

What are the mean and variance of the ratio of two normal variables, with non-zero means?

If X,Y are normal independent N(a,s), N(b,s') what are means and variances of the ratio X/Y ?
Alexander Chervov's user avatar
3 votes
3 answers
2k views

Simulating ratio of two independent normal variables

I have two non centered independent normally distributed variables $X$ and $Y$. Specifically $$ X \sim N(\mu_1, \sigma_1)$$ $$ Y \sim N(\mu_2, \sigma_2)$$ I am interested in sampling from the ...
Ajjit Narayanan's user avatar
1 vote
2 answers
3k views

What is the distribution of the ratio of two normals?

I need to use the ratio of two variables as the dependent variable in a regression. Both variables are normally distributed but with positive values. I can either center them or use as it is. If I ...
George Michaelides's user avatar
2 votes
1 answer
2k views

What is the expected value of the division of a random variable by a sum of random variables?

With $X_1$, $X_2$ and $X_3$ being independent random variables, how can I compute $\mathbb{E}\left[ \frac{X_1}{X_1+X_2+X_3}\right]$? Is $\mathbb{E}\left[ \frac{X_1}{X_1+X_2+X_3}\right] = \frac{\mathbb{...
Xander's user avatar
  • 23
2 votes
1 answer
3k views

Can I use Wilcoxon Signed-Rank paired Test to compare binary data?

I have two series of binary outcomes: Series1 Series2 Test1 0 1 Test2 1 1 Test3 1 1 Test4 0 1 Test5 0 0 ... I want to know ...
sda's user avatar
  • 91
8 votes
1 answer
855 views

How to test the difference in two proportions when the outcomes aren't binary?

An e-commerce website is testing two different designs for a checkout page. Customers who visit the checkout page are randomly presented with one of the two designs. The first metric of interest, ...
logworthy's user avatar
  • 203
3 votes
1 answer
1k views

Degrees of freedom for t-test after delta method

Say I have a dataset with $n$ observations of two independent variables, X and Y. From the observations of the X variable I estimate a parameter $\hat{\alpha}$ and corresponding variance $\hat{\sigma}...
Knarpie's user avatar
  • 1,870
1 vote
1 answer
534 views

Empirical versus Theoretical Convergence of Ratio of Normal Distributions

I have observed that if you take the ratio of two normal variables distributed as $N(1, \sigma) / N(1, \sigma)$, empirically this ratio distribution approaches normality as sigma approaches 0 (shown ...
Zane Blanton's user avatar
4 votes
1 answer
793 views

Justification for using the click-through rate in hypothesis testing

The click-through rate (CTR) is defined as the total number of clicks divided by the total number of impressions. The diversion unit is usually a cookie, as it is the case in the following course by ...
Ivan's user avatar
  • 608

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