Hypothesis Testing 2 - MAT2378 Rafal Kulik Version...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MAT2378 Rafal Kulik Version 2009/Oct/30 Rafal Kulik MAT2378 Probability and Statistics for the Natural Sciences Hypothesis PART 2 Comments These notes form an introduction to hypotheses testing. They do not correspond to any section in the textbook . Im planning to spend one lecture on this material. Rafal Kulik 1 MAT2378 Probability and Statistics for the Natural Sciences Hypothesis PART 2 The t-test We are going to test H : = , where is a constant. Step 1: H : = In the second step we choose an alternative H A : Step 2: Choose H A as one of 1. H A : < (one-sided test) 2. H A : > (one-sided test) 3. H A : 6 = (two-sided test) Rafal Kulik 2 MAT2378 Probability and Statistics for the Natural Sciences Hypothesis PART 2 Step 3: The test statistics T = Y- S/ n . This statistics has t n- 1 under H . Step 4: Compute the observed value t = y- s/ n of your test statistics. Step 5: Compute the p-value: P ( | T | > | t | ) for the two-sided test; P ( T > t ) or P ( T < t ) for the appropriate one-sided test. Step 6: Choose - probability of type I error: = P (reject H | H is true) . Typically = 0 . 01 , . 05 . If p-value is smaller than - reject H . Rafal Kulik 3 MAT2378 Probability and Statistics for the Natural Sciences Hypothesis PART 2 The form of hypotheses will depend on what we try to show or to conclude. As alternative, we choose what we try to demonstrate by data....
View Full Document

This note was uploaded on 12/22/2011 for the course STATISTICS STAT 3502 taught by Professor Alyaothman during the Spring '09 term at University of Ottawa.

Page1 / 13

Hypothesis Testing 2 - MAT2378 Rafal Kulik Version...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online