Words similar to non-centrality

Example sentences for: non-centrality

How can you use “non-centrality” in a sentence? Here are some example sentences to help you improve your vocabulary:

0 under the alternative non-central t distribution g ( t, df 1 , δ): . Now when the n samples are randomly assigned into pools of size p with equal mixing, power is decreased because the degrees of freedom are reduced to df 2 = 2( n / p - 1), which makes the tails of the central t distribution under H 0 heavier and thus the critical value t 0 * will be further from 0, while the non-centrality parameter is unchanged: (since the variance is reduced to σ 2/ p and the number of chips reduced to n / p ). However, if n + k subjects with pool size p are compared to n subjects without pooling, then the power change is not monotonic.
For simplicity, let σ 1 2= σ 2 2= σ 2. Suppose we use two-sample t-test to test H 0 : μ 1 = μ 2 against H a : μ 1 <μ 2 . Without pooling, the t statistic follows the central t distribution f ( t, df 1 ) with df 1 = 2( n - 1) under H 0 ; while under H a , it follows a non-central t distribution with df 1 and non-centrality parameter , which is inversely related to the standard deviation σ.
This can be seen by noting that the non-centrality parameter for pooling is now , which is non-trivially larger than . This shifts the alternative distribution further away from the null distribution and thus increases power.