# Tagged Questions

2answers
215 views

### Simple question about the asymptotics of estimators

Consider any arbitrary estimator called $\hat{M}$ (e.g., regression coefficient estimator or specific type of correlation estimator, etc) that satisfies the following asymptotic property: ...
2answers
454 views

### Can we see shape of normal curve somewhere in nature?

I do not want to know if some phenomena in nature have normal distribution, but whether we can somewhere see shape of normal curve as we can see it for example in Galton box. See this figure from ...
5answers
734 views

### How to determine whether data is slightly or extremely non-normally distributed?

I'm a PhD student and doing a research on regression analysis. My question is how to determine whether the data is slightly, moderately or extremely non-normally distributed?
3answers
239 views

### Is there any test for a null hypothesis of non-normality?

I'm currently looking for a test having for null hypothesis that the sample does not come from observing a normally distributed random variable. In other words, I'd like to know if there's a test ...
1answer
234 views

### What happens if you reject normality of residuals when estimating with least square ?

What happens if you reject normality of residuals when estimating with least square ? Is it too important to have normality on the residuals?
4answers
3k views

### Interpretation of Shapiro test

I'm pretty new to statistics and I need your help. I have a small sample looking as follows: H4U 0.269 0.357 0.2 0.221 0.275 0.277 0.253 0.127 0.246 I run the Shapiro test ...
2answers
1k views

### Testing normality

I have a large dataset (500000 data, V1 column include all the data). x <- read.csv("mydata.csv", header=F) hist(x) Which gives: Looking at the data, I ...
3answers
150 views

### Approximating $Pr[n \leq X \leq m]$ for a discrete distribution

What's the best way to approximate $Pr[n \leq X \leq m]$ for two given integers $m,n$ when you know the mean $\mu$, variance $\sigma^2$, skewness $\gamma_1$ and excess kurtosis $\gamma_2$ of a ...
5answers
15k views

### How to perform a test using R to see if data follows normal distribution

I have a data set with following structure: a word | number of occurrence of a word in a document | a document id How can I perform a test for normal ...
5answers
3k views

### If the t-test and the ANOVA for two groups are equivalent, why aren't their assumptions equivalent?

I'm sure I've got this completely wrapped round my head, but I just can't figure it out. The t-test compares two normal distributions using the Z distribution. That's why there's an assumption of ...
9answers
1k views

### How do I figure out what kind of distribution represents this data on ping response times?

i've sampled a real world process, network ping times. The "round-trip-time" is measured in milliseconds. Results are plotted in a histogram: Ping times have a minimum value, but a long upper tail. ...
4answers
244 views

### Modeling success rate with gaussian distribution

In many papers I see data representing a rate of success (i.e a number between 0 and 1) modeled as a gaussian. This is clearly a sin (the range of variation of the gaussian is all of R), but how bad ...
1answer
242 views

### Approximating density function for a non-normal distribution

My question is actually quite short, but I'll have to start by describing the context since I am not sure how to directly ask it. Consider the following "game": We have a segment of length n ("large ...
1answer
12k views

### What is the difference between the Shapiro-Wilk test of normality and the Kolmogorov-Smirnov test of normality?

What is the difference between the Shapiro-Wilk test of normality and the Kolmogorov-Smirnov test of normality? When will results from these two methods differ?
7answers
4k views

### What is normality?

In many different statistical methods there is an "assumption of normality". What is "normality" and how do I know if there is normality?
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