Setting significance levels at the correct level

Slides:



Advertisements
Similar presentations
Introduction to Hypothesis Testing
Advertisements

Power of a test. power The power of a test (against a specific alternative value) Is a tests ability to detect a false hypothesis Is the probability that.
Statistics.  Statistically significant– When the P-value falls below the alpha level, we say that the tests is “statistically significant” at the alpha.
Decision Errors and Power
STAT 135 LAB 14 TA: Dongmei Li. Hypothesis Testing Are the results of experimental data due to just random chance? Significance tests try to discover.
Statistical Techniques I EXST7005 Lets go Power and Types of Errors.
+ Chapter 10 Section 10.4 Part 2 – Inference as Decision.
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.
PSY 307 – Statistics for the Behavioral Sciences
Power of a Test Notes: P 183 and on your own paper.
Descriptive Statistics
Introduction to Testing a Hypothesis Testing a treatment Descriptive statistics cannot determine if differences are due to chance. A sampling error occurs.
Inferential Statistics
Choosing Statistical Procedures
Presented by Mohammad Adil Khan
1 Power and Sample Size in Testing One Mean. 2 Type I & Type II Error Type I Error: reject the null hypothesis when it is true. The probability of a Type.
Psy B07 Chapter 4Slide 1 SAMPLING DISTRIBUTIONS AND HYPOTHESIS TESTING.
Statistical Inference for the Mean Objectives: (Chapter 9, DeCoursey) -To understand the terms: Null Hypothesis, Rejection Region, and Type I and II errors.
Power of a Hypothesis test. H 0 True H 0 False Reject Fail to reject Type I Correct Type II Power   Suppose H 0 is true – what if we decide to fail.
Copyright © 2011 Pearson Education, Inc. Putting Statistics to Work.
Statistical Techniques
AP Statistics Chapter 21 Notes
Introduction to Testing a Hypothesis Testing a treatment Descriptive statistics cannot determine if differences are due to chance. Sampling error means.
Statistics Statistics Data measurement, probability and statistical tests.
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Essential Statistics: Exploring the World through.
Power of a test. power The power of a test (against a specific alternative value) Is In practice, we carry out the test in hope of showing that the null.
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.
Statistical Inference for the Mean Objectives: (Chapter 8&9, DeCoursey) -To understand the terms variance and standard error of a sample mean, Null Hypothesis,
Extension: How could researchers use a more powerful measure of analysis? Why do you think that researchers do not just rely on descriptive statistics.
More about tests and intervals CHAPTER 21. Do not state your claim as the null hypothesis, instead make what you’re trying to prove the alternative. The.
Critical Appraisal Course for Emergency Medicine Trainees Module 2 Statistics.
+ Homework 9.1:1-8, 21 & 22 Reading Guide 9.2 Section 9.1 Significance Tests: The Basics.
Research methods. Recap: last session 1.Outline the difference between descriptive statistics and inferential statistics? 2.The null hypothesis predicts.
Section Testing a Proportion
Learning Objectives: 1. Understand the use of significance levels. 2
Power of a test.
Dr. Amjad El-Shanti MD, PMH,Dr PH University of Palestine 2016
Chapter 9: Testing a Claim
Unit 5: Hypothesis Testing
CHAPTER 9 Testing a Claim
Understanding Results
Sample Size Estimation
CHAPTER 9 Testing a Claim
Chapter 8: Hypothesis Testing and Inferential Statistics
Data measurement, probability and statistical tests
Inferential Statistics
P-value Approach for Test Conclusion
CHAPTER 9 Testing a Claim
Chapter 9: Hypothesis Testing
Statistical Inference
CHAPTER 9 Testing a Claim
Significance Tests: The Basics
Chapter 3 Probability Sampling Theory Hypothesis Testing.
P-VALUE.
Data measurement, probability and statistical tests
Lecture 4 Section Wed, Jan 19, 2005
11E The Chi-Square Test of Independence
Power of a test.
Chapter 7: Statistical Issues in Research planning and Evaluation
Power of a test.
Hypothesis Testing and Confidence Intervals (Part 2): Cohen’s d, Logic of Testing, and Confidence Intervals Lecture 9 Justin Kern April 9, 2018.
What determines Sex Ratio in Mammals?
CHAPTER 9 Testing a Claim
Power of a test.
Chapter 9: Significance Testing
The Process of Gathering Information
Power Problems.
CHAPTER 9 Testing a Claim
Statistical Test A test of significance is a formal procedure for comparing observed data with a claim (also called a hypothesis) whose truth we want to.
CHAPTER 9 Testing a Claim
Presentation transcript:

Setting significance levels at the correct level Type1 and Type 2 Errors Setting significance levels at the correct level

Aim of Psychological Research When we have finished analysing research results and we have tested for significance, we make a statement that we must accept or reject the null hypothesis at the set level of significance, usually p<0.05. We may be right or wrong. We can never be absolutely certain that an apparent effect is not a fluke.

If a researcher claims support for the research hypothesis with a significant result when, in fact, variations in results are caused by random variables alone, then a TYPE 1 ERROR is said to have occurred. Through poor design or faulty sampling, researchers may fail to achieve significance, even though the effect they were attempting to demonstrate actually does exist. In this case it would be said that they had made a TYPE 2 ERROR.

Summary of Errors Accepted Rejected True  Type 1 error False Null Hypothesis is: Accepted Rejected True  Type 1 error False Type 2 error Null Hypothesis is actually:

Probability as measured on a scale from 1 - 10 Standard level for psychology research 0.05 0.5 1 Will Never Happen Will happen 50% of the time Will Definitely Happen Will Happen5 Times in 100 More chance of Type 2 Error More chance of Type 1 Error

Significance levels If significance levels are set too loosely (i.e. towards 0.1) there is more chance of rejecting the null hypothesis and therefore causing a TYPE 1 error. If significance levels are set too strictly (i.e. towards 0.01) there is more chance of accepting the null hypothesis and therefore causing a TYPE 2 error.

Reason we set a standard of 0.05 This value is in the middle of the 2 sides of significance and therefore reduces the chances of Type 1 and Type 2 errors.

Exam question (2 marks) Why do we use the 0.05 level of significance? The reason the experimenter ha used 0.05 as the level of significance is that it is the standard set level for psychological research and it reduces the chances of type 1 and type 2 errors occuring.

Exam Question (2 marks) Explain what is meant by the phrase ‘the difference…was not statistically significant at the 5% level’. The null hypothesis is true meaning there is a high probability that chance factors were responsible for observed differences. The researcher cannot be 95% sure that the difference has occurred because one group is ‘depressed’ and the other ‘not-depressed’/there is more than a 5% probability of these results occurring by chance.