Do two distributions have the same mean?

Do two distributions have the same mean?

Nevertheless, comparing means and standard deviations do not guarantee that the distributions are similar — you may have two distributions with the same mean and standard deviation that, e.g., have different skewness and/or kurtosis.

How do you prove that two distributions are the same?

The Kolmogorov-Smirnov test tests whether two arbitrary distributions are the same. It can be used to compare two empirical data distributions, or to compare one empirical data distribution to any reference distribution. It’s based on comparing two cumulative distribution functions (CDFs).

Do all distributions have the same mean?

The normal distribution is a symmetrical, bell-shaped distribution in which the mean, median and mode are all equal. It is a central component of inferential statistics. The standard normal distribution is a normal distribution represented in z scores. It always has a mean of zero and a standard deviation of one.

Can two sets of data have the same mean but different standard deviation?

Yes, absolutely! Both the median and mean are measures of “central tendency”, whereas the standard deviation measures spread around this measure. So yes, it’s definitely possible to have the same mean/median but completely different spreads around this.

How do you know if two distributions are independent?

You can tell if two random variables are independent by looking at their individual probabilities. If those probabilities don’t change when the events meet, then those variables are independent. Another way of saying this is that if the two variables are correlated, then they are not independent.

How do you compare the mean of the sample mean and the mean of the population?

The sample mean is mainly used to estimate the population mean when population mean is not known as they have the same expected value. Sample Mean implies the mean of the sample derived from the whole population randomly. Population Mean is nothing but the average of the entire group.

What is the difference between the normal distribution and the T distribution?

The normal distribution assumes that the population standard deviation is known. The t-distribution is defined by the degrees of freedom. These are related to the sample size. The t-distribution is most useful for small sample sizes, when the population standard deviation is not known, or both.

Is it possible that two datasets can have the same mean but different variances?

Yes, two sets of data have the same mean, but not the same variance. Two data sets may have the same mean, but different variances.

Could two sample groups have the same mean but different ranges?

Could two samples have the same mean but different ranges? Yes, the mean does not reflect the distribution of numbers.

When comparing two or more distributions What do you consider?

a) Absolute measures of dispersion. Relative measures of dispersion.

How to compare two distributions with different mean and standard deviation?

Nevertheless, comparing means and standard deviations do not guarantee that the distributions are similar — you may have two distributions with the same mean and standard deviation that, e.g., have different skewness and/or kurtosis. So, to compare distributions, you can use the two-sample Kolmogorov–Smirnov test.

How do you compare two samples with different distributions?

So, to compare distributions, you can use the two-sample Kolmogorov–Smirnov test. Again, a graphical method is also useful to see if the differences (even if significant) are relevant. For instance, you may plot the CDF of both samples to see how large are the differences between them.

What is the two-sample t-test for equal means purpose?

Two-Sample t-Test for Equal Means Purpose: Test if two population means are equal The two-sample t-test (Snedecor and Cochran, 1989) is used to determine if two population means are equal. A common application is to test if a new process or treatment is superior to a current process or treatment.

How do you test if two population means are equal?

Test if two population means are equal. The two-sample t-test (Snedecor and Cochran, 1989) is used to determine if two population means are equal. A common application is to test if a new process or treatment is superior to a current process or treatment. There are several variations on this test.