# hypothesis testing

1. ### Parametric Test or Non-parametric Test?

Let's say group A (n = 57) is independent from group B (n = 17). The distribution of group A is non-normal (Shapiro-Wilk Test p-val = 0.004) & the distribution of group B is also non-normal (Shapiro-Wilk Test p-val = 0.02). The sample size n = 57 is large enough that I can assume normality for...
2. ### 3 Datasets Hypothesis testing

n = 72 subjects were randomised to 3 treatment groups: A, B, C, so that n = 26 for Group A, n = 29 for Group B, n = 17 for Group C. Measurements were taken before and after treatment. The differences were calculated between the before & after-treatment observations for the 3 treatment groups...
3. ### hypothesis testing depending on the distribution of the data

I have a paired dataset where the before-treatment observations are non-normally distributed (Shapiro-Wilk test p-value = 0.007) and the after-treatment observations are normally distributed (Shapiro-Wilk test p-value = 0.997). What type of test can I use to see if the before-treatment...
4. ### Comparison of proportions with several variables

Hey everyone, I've been a bit stuck lately on which test to choose or to implement for an assignment. Little bit of context : from a dataframe containing answers of a survey from several hundreds of thousand of people, I needed to ask a scientific question then analyse the data and make...
5. ### Calculate required sample size

Hello, I have a test for the thermal performance of a building with a defined uncertainty margin (15%). I want to use it to measure the effects of refurbishments designed to improve thermal performance, but the effect of the refurbishments can be quite small (5-50%). In order to have confidence...
6. ### Voucher Discount and Redeemed

Hi. I need your help in this problem. I need to do some hypothesis testing. The data that I have as below Target is the users that get the voucher, Redeemed is the vouchers that have been redeemed by the users. Based on that data, it appears that 20,000 amount of voucher discount draws high...
7. ### using differing methods for confidence intervals with differing results

Hello, Does anybody know the protocol for when you use two different methods to create confidence intervals and get differing results in the test. I ran a test for a parameter estimation MLE and got different results for my confidence interval. And would like some advice. For example, you...
8. ### Statistical/practical significant difference

Hi Suppose that we have two groups that they select N items. For example, in the table below, we have the number of people from each group that have selected each item. items: A B C D E F G H K...
9. ### Smallest µ such that H0 is rejected (hypothesis test, unknown mean)

Let X1, X2, . . . , Xn be normal-distributed random variables with unknown mean µ and variance 1 and let X^- =1/n sum_{n=i}^n be their sample mean. Consider the one-sided hypothesis test with hypotheses H0 : µ0 < 0 and H1 : µ0 > 0 with parameters δ = 0.01 and n = 100. What is the smallest µ...
10. ### t-test vs. Wilcoxon-test

Hi there, I am new in this community. I hope you can help me out. For my master thesis, I have a dataset of 6043 observations. This observations contain the spread differential (delta) of matched securities (I compare one corporate bond with a Green corporate bond of the same issuer) What I...
11. ### Which statistic test should i use to Compare cosmetic purchase volume between housewife and working women consumer of a shopping mall?

The sales data follows normal distribution.
12. ### Hypothesis test - 2 independent variables

Gone through all my notes on this one and raked online but still quite stuck.. ___________________________________________________________________________________________________________________________________________________________ Problem Customers spending on groceries follows a normal...
13. ### Ratio for comparison between groups and correlation analyses

I'm trying to compare two groups on their ratio between two scores and then investigate the correlation of this ratio for each participant with scores obtained on other tests. What would be an appropriate way of calculating this ratio and what statistical test would I then use to see if there is...
14. ### Thesis Help Request - Hypothesis Testing

Hi I am doing an event study and my null hypothesis is CAAR=0 and alternative is CAAR does not equal 0 (2 tailed t-test). CAAR is cumulative average abnormal returns. Can a two tailed test be used to give directional conclusions, e.g. if the CAAR value is 1.5% and is statistically significant at...
15. ### conditional probability of type 1 error - hypothesis testing common malpractices

If you want to test Ho = 0 versus H1≠ 1,with significance level alpha, but instead of testing this directly, you have a strategy: -> X1,...,Xn is a random sample from a N(µ,σ2) distribution with σ2 known (I shall denote the mean of X as X(m)) and we obtain Z = X(m)/(σ/√n) If Z > 0, let H1 : µ >...
16. ### T Test word problem! HELP

im going crazy trying to figure out this problem; please help! 2. Assume that we drew a random sample of 300 women who had recently graduated from USC. All of these women worked full time in 2018. They earned an average salary of $42,167 (s.d. =$26,413). Based on data from the US Census...
17. ### How to Test for Co-integration with the Augmented Dickey-Fuller Test?

Hi everyone. The table above contains two example factories that I would like to test for cointegration using the augmented dickey-fuller test. I intentionally use this short time series because I want to do the calculations by hand. Below you will see my attempt to carry out this procedure and...
18. ### Multiple testing correction - What constitutes a test?

Hello! I am not how to tackle my experimental setup in terms of multiple testing correction: I have three performance measures (m1,m2,m3) that I collected from 20 individuals. On top of that I have two measures of some anatomical feature. I correlated every anatomical feature with all the...
19. ### A Hypothesis testing problem

I have been facing some doubts regarding the problem given below. Firstly, if this problem is a Z-test or a T-test? Secondly, what should be the standard deviation ? sigma =? Here is my attempted solution, Please help.
20. ### Calculating ensemble value for data with non-gaussian errors

I have 10 data points each of which have non-symmetric (i.e., non-Gaussian) errors. That is, if 'a' is the central value (representing the median), then a^{+b}_{-c} means that 'b' is the positive 1-sigma error and 'c' is the negative 1-sigma error. I want to be able to get a representative value...