23k views

### P-value vs Type 1 Error [duplicate]

I am trying to understand the relationship of a p-value vs Type 1 error rate. My understanding of one interpretation of a p-value is the following: "the p-value tells us the probability of making a ...
1k views

### Intuitive explanation of why p is not the probability of the null hypothesis [duplicate]

I've got to teach a basic course on the $\chi^2$ test soon, and I will of course insist on the fact that $p$ is not the probability of the null hypothesis to be true, and that the result of the test ...
455 views

### P-Value Clarification [duplicate]

I'm new to P-Values and Hypothesis testing and I noticed that p-values are explained differently everywhere I go. In my lecture notes it has a method for hypothesis testing and the last part says that ...
80 views

### Can I think of the level of a hypothesis test as being the probability the null hypothesis is true? [duplicate]

I am trying to understand the level of a test better and was wondering if the level of a hypothesis is essentially equal to the probability that the null hypothesis is true. I have been trying to ...
53 views

### Alternate interpretation of p-value [duplicate]

I have got a p-value of .0166 on a hypothesis test on comparison of hourly wages for different countries. Would it be right to make a a conclusive remark that “We can be 98.34% confident [1-.0166] ...
27k views

### When to use Fisher and Neyman-Pearson framework?

I've been reading a lot lately about the differences between Fisher's method of hypothesis testing and the Neyman-Pearson school of thought. My question is, ignoring philosophical objections for a ...
3k views

### Is the “hybrid” between Fisher and Neyman-Pearson approaches to statistical testing really an “incoherent mishmash”?

There exists a certain school of thought according to which the most widespread approach to statistical testing is a "hybrid" between two approaches: that of Fisher and that of Neyman-Pearson; these ...
1k views

### How should an individual researcher think about the false discovery rate?

I've been trying to wrap my head around how the False Discovery Rate (FDR) should inform the conclusions of the individual researcher. For example, if your study is underpowered, should you discount ...
6k views

### Misunderstanding a P-value?

So I've been reading a lot about how to correctly interpret a P-value, and from what I've read, the p-value says NOTHING about the probability that the null hypothesis is true or false. However, when ...
27k views

### How do I find the probability of a type II error?

I know that a Type II error is where H1 is true, but H0 is not rejected. Question How do I calculate the probability of a Type II error involving a normal distribution, where the standard deviation ...
4k views

### How do I interpret the p value returned in scipy's Mann Whitney U test?

I have a program in which I need to perform an action based on what results of a Mann Whitney U test are. I know the criteria that need to be met, but I would still like to understand what the results ...
Would it be accurate to say that a p-value is a random variable whose null distribution is Unif$(0,1)$ which stochastically dominates its distribution under the alternative hypothesis? I realized that ...