What Is Regulation U?
The u-test method is a hypothesis test method that tests whether the mathematical expectation of a random variable is equal to a known value in the case of a large sample (n> 30). Let X1, X2, ..., Xn be a sample of the normal random variable X, and the overall variance is 2. Assume that the mathematical expectation of X is equal to some known value m0.
u-test method
Right!
- Chinese name
- u-test method
- Brief introduction
- A hypothesis testing method
- Condition
- The variance of two normal random variables is known
- Use
- Test for significant differences in mathematical expectations
- The u-test method is a hypothesis test method that tests whether the mathematical expectation of a random variable is equal to a known value in the case of a large sample (n> 30). Let X1, X2, ..., Xn be a sample of the normal random variable X, and the overall variance is 2. Assume that the mathematical expectation of X is equal to some known value m0.
- From the given reliability , check the normal distribution table to get u. If the calculated u <u, accept the hypothesis, that is, the mathematical expectation MX of X is not significantly different from m0; if uu, reject the hypothesis, and consider that the mathematical expectation of X is significantly different from m0. Under the condition that the variance of two normal random variables is known, u-test can be used to test whether their mathematical expectations are significantly different.