Chapter 10 The t Test for Two Independent Samples.

Slides:



Advertisements
Similar presentations
Chapter 10: The t Test For Two Independent Samples
Advertisements

There are two statistical tests for mean: 1) z test – Used for large samples (n ≥ 30) 1) t test – Used for small samples (n < 30)
Chapter 8 The t Test for Independent Means Part 2: Oct. 15, 2013.
The Independent- Samples t Test Chapter 11. Independent Samples t-Test >Used to compare two means in a between-groups design (i.e., each participant is.
Chapter 8 The t Test for Independent Means Part 1: March 6, 2008.
PSY 307 – Statistics for the Behavioral Sciences
10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
Sample size computations Petter Mostad
Lecture 8 PY 427 Statistics 1 Fall 2006 Kin Ching Kong, Ph.D
Chapter 3 Hypothesis Testing. Curriculum Object Specified the problem based the form of hypothesis Student can arrange for hypothesis step Analyze a problem.
S519: Evaluation of Information Systems
S519: Evaluation of Information Systems
Independent Samples t-Test What is the Purpose?What are the Assumptions?How Does it Work?What is Effect Size?
Chapter 9: Introduction to the t statistic
Chapter 9 Hypothesis Testing II. Chapter Outline  Introduction  Hypothesis Testing with Sample Means (Large Samples)  Hypothesis Testing with Sample.
Simple Linear Regression Analysis
Chapter 10 The t Test for Two Independent Samples PSY295 Spring 2003 Summerfelt.
Hypothesis Testing and T-Tests. Hypothesis Tests Related to Differences Copyright © 2009 Pearson Education, Inc. Chapter Tests of Differences One.
Choosing Statistical Procedures
Jeopardy Hypothesis Testing T-test Basics T for Indep. Samples Z-scores Probability $100 $200$200 $300 $500 $400 $300 $400 $300 $400 $500 $400.
1 Doing Statistics for Business Doing Statistics for Business Data, Inference, and Decision Making Chapter 8 Hypothesis Testing : An Introduction.
Chapter 8 Introduction to Hypothesis Testing
Analysis & Interpretation: Individual Variables Independently Chapter 12.
1 Statistics for the Behavioral Sciences (5 th ed.) Gravetter & Wallnau Chapter 10 The t Test for Two Independent Samples University of Guelph Psychology.
T-test Mechanics. Z-score If we know the population mean and standard deviation, for any value of X we can compute a z-score Z-score tells us how far.
10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.
Statistics for the Behavioral Sciences Second Edition Chapter 11: The Independent-Samples t Test iClicker Questions Copyright © 2012 by Worth Publishers.
Learning Objectives In this chapter you will learn about the t-test and its distribution t-test for related samples t-test for independent samples hypothesis.
COURSE: JUST 3900 TIPS FOR APLIA Developed By: Ethan Cooper (Lead Tutor) John Lohman Michael Mattocks Aubrey Urwick Chapter : 10 Independent Samples t.
Psychology 301 Chapters & Differences Between Two Means Introduction to Analysis of Variance Multiple Comparisons.
1 10 Statistical Inference for Two Samples 10-1 Inference on the Difference in Means of Two Normal Distributions, Variances Known Hypothesis tests.
Jeopardy Hypothesis Testing t-test Basics t for Indep. Samples Related Samples t— Didn’t cover— Skip for now Ancient History $100 $200$200 $300 $500 $400.
Chapter 9 Introduction to the t Statistic. 9.1 Review Hypothesis Testing with z-Scores Sample mean (M) estimates (& approximates) population mean (μ)
ANOVA Assumptions 1.Normality (sampling distribution of the mean) 2.Homogeneity of Variance 3.Independence of Observations - reason for random assignment.
Chapter 14 Repeated Measures and Two Factor Analysis of Variance
1 CHAPTER 4 CHAPTER 4 WHAT IS A CONFIDENCE INTERVAL? WHAT IS A CONFIDENCE INTERVAL? confidence interval A confidence interval estimates a population parameter.
Introduction to the t Test Part 1: One-sample t test
Logic and Vocabulary of Hypothesis Tests Chapter 13.
Chapter 10 The t Test for Two Independent Samples
- We have samples for each of two conditions. We provide an answer for “Are the two sample means significantly different from each other, or could both.
Chapter 10 Statistical Inference for Two Samples More than one but less than three! Chapter 10B < X
Chapter 11 The t-Test for Two Related Samples
McGraw-Hill/Irwin Business Research Methods, 10eCopyright © 2008 by The McGraw-Hill Companies, Inc. All Rights Reserved. Chapter 17 Hypothesis Testing.
Innovative Teaching Article (slides with auxiliary information: © 2014) James W. Grice Oklahoma State University Department of Psychology.
Major Steps. 1.State the hypotheses.  Be sure to state both the null hypothesis and the alternative hypothesis, and identify which is the claim. H0H0.
T tests comparing two means t tests comparing two means.
The Idea of the Statistical Test. A statistical test evaluates the "fit" of a hypothesis to a sample.
Related Sample t-test A related sample t-test is used when participants in the two groups are not independent of participants in the other groups. – Repeated.
If we fail to reject the null when the null is false what type of error was made? Type II.
Introduction to the t statistic. Steps to calculate the denominator for the t-test 1. Calculate variance or SD s 2 = SS/n-1 2. Calculate the standard.
Lec. 19 – Hypothesis Testing: The Null and Types of Error.
Statistical Inference for the Mean Objectives: (Chapter 8&9, DeCoursey) -To understand the terms variance and standard error of a sample mean, Null Hypothesis,
Statistical hypothesis testing. Testing one of the methods of statistical induction we verify validation of the hypothesis Testing methods: Parametric:
Chapter 10: The t Test For Two Independent Samples.
McGraw-Hill/Irwin © 2003 The McGraw-Hill Companies, Inc.,All Rights Reserved. Part Four ANALYSIS AND PRESENTATION OF DATA.
Chapter 9 Introduction to the t Statistic
Inference about the slope parameter and correlation
Part Four ANALYSIS AND PRESENTATION OF DATA
Chapter 4. Inference about Process Quality
STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample
R. E. Wyllys Copyright 2003 by R. E. Wyllys Last revised 2003 Jan 15
Hypothesis Tests: One Sample
Chapter 14 Repeated Measures
Chapter 9 Hypothesis Testing.
Fr. Chris Thiel 24 Feb 2005 St Francis High School
Doing t-tests by hand.
Chapter 24 Comparing Two Means.
Introduction to the t Test
Presentation transcript:

Chapter 10 The t Test for Two Independent Samples

10.1 Independent-Measures Design Introduction Most research studies compare two (or more) sets of data – Data from two completely different, independent participant groups … – Data from the same or related participant group(s) …

10.1 Independent-Measures Design Introduction (continued) Computational procedures are considerably different for the two designs Each design has different strengths and weaknesses Consequently, only between-subjects designs are considered in this chapter; repeated- measures designs will be reserved for discussion in Chapter 11

Figure 10.1 Independent- Measures Research Design

10.2 Independent-Measures Design t Statistic Null hypothesis for independent-measures test Alternative hypothesis for the independent- measures test

Independent-Measures Hypothesis Test Formulas Basic structure of the t statistic

Estimated standard error Measure of standard or average distance between sample statistic (M 1 -M 2 ) and the population parameter How much difference it is reasonable to expect between two sample means if the null hypothesis is true

Measuring Effect Size If the null hypothesis is rejected, the size of the effect should be determined using either Cohen’s d or Percentage of variance explained

10.4 Assumptions for the Independent-Measures t-Test The observations within each sample must be … The two populations from which the samples are selected must be … The two populations from which the samples are selected must have …