id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2680	Ghadhban, Ghufran A.; Rasheed, Huda A.	Robust Tests for the Mean Difference in Paired Data by Using Bootstrap Resampling Technique	2021	14	.pdf	application/pdf	5821	288	70	Type 1 error rates on different test statistics at α = 0.05 distributed according to the 𝜌 and n with Bivariate normal distribution, 𝑋 ∼ 𝑁(1,1 ) and 𝑌 ∼ 𝑁(1 ,1 ) 𝝆 n T WS WL BT BWS BWL 0 10 *0.0496 0.0369 *0.0495 0.1059 0.0506* 0.0589 20 *0.0518 *0.0456 *0.0489 0.0744 0.0537* 0.0577 30 *0.0559 *0.0518 *0.0547 0.0614 0.0489* 0.0500* 50 *0.0523 - *0.0504 0.0578 - 0.0522* 100 *0.0518 - *0.0536 0.0556 - 0.0550* 0.4 10 *0.0508 0.0380 *0.0505 0.1080 0.0484* 0.0569 20 *0.0536 *0.0484 *0.0525 0.0752 0.0520* 0.0565 30 *0.0550 *0.0515 *0.0538 0.0633 0.0499* 0.0510* 50 *0.0504 - *0.0499 0.0596 - 0.0524* 100 *0.0525 - *0.0505 0.0550* - 0.0556 0.8 10 *0.0517 0.0383 *0.0516 0.1052 0.0517* 0.0601 20 *0.0528 *0.0477 *0.0517 0.0743 0.0527* 0.0565 30 *0.0546 *0.0510 *0.0538 0.0644 0.0517* 0.0528* 50 *0.0504 - *0.0489 0.0598 - 0.0529* 100 *0.0543 - *0.0531 0.0548* - 0.0546* Note: * means Type 1 error rate is within the Bradley’s liberal criterion (0.045-0.055) ii) Power rates The power rates of different tests at (α = 0.05) applied on samples taken from a Bivariate normal distribution have summarized in the Table (3) and show that:  Simulation Study A Monte-Carlo simulation study is conducted to examine and compare the behavior of different test statistics represented by Paired t-test (T), Paired t-test uses Bootstrap resampling (BT), W.M test for small sample sizes (𝑛 ≤ 30) (WS), W.M test (WL) when 𝑛 > 30, bootstrapping W.M test for small samples (BWS) and bootstrapping W.M test when sample size 𝑛 > 30 (BWL).	cache/iajs-2680.pdf	txt/iajs-2680.txt