Inferential Statistics Body of statistical computations relevant to making inferences from findings based on sample observations to some larger population.

Slides:



Advertisements
Similar presentations
Probability models- the Normal especially.
Advertisements

Inference in the Simple Regression Model
Introduction to Hypothesis Testing
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)
Statistical Significance What is Statistical Significance? What is Statistical Significance? How Do We Know Whether a Result is Statistically Significant?
HYPOTHESIS TESTING Four Steps Statistical Significance Outcomes Sampling Distributions.
Research Methods in MIS
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
Evaluating Hypotheses Chapter 9. Descriptive vs. Inferential Statistics n Descriptive l quantitative descriptions of characteristics.
DATA ANALYSIS I MKT525. Plan of analysis What decision must be made? What are research objectives? What do you have to know to reach those objectives?
Chapter 14 Conducting & Reading Research Baumgartner et al Chapter 14 Inferential Data Analysis.
Statistical Significance What is Statistical Significance? How Do We Know Whether a Result is Statistically Significant? How Do We Know Whether a Result.
Lecture 11 Psyc 300A. Null Hypothesis Testing Null hypothesis: the statistical hypothesis that there is no relationship between the variables you are.
Evaluating Hypotheses Chapter 9 Homework: 1-9. Descriptive vs. Inferential Statistics n Descriptive l quantitative descriptions of characteristics ~
Inferences About Means of Single Samples Chapter 10 Homework: 1-6.
Inferences About Means of Single Samples Chapter 10 Homework: 1-6.
Copyright c 2001 The McGraw-Hill Companies, Inc.1 Chapter 7 Sampling, Significance Levels, and Hypothesis Testing Three scientific traditions critical.
Inferential Statistics
Choosing Statistical Procedures
Chapter Ten Introduction to Hypothesis Testing. Copyright © Houghton Mifflin Company. All rights reserved.Chapter New Statistical Notation The.
AM Recitation 2/10/11.
Overview of Statistical Hypothesis Testing: The z-Test
1 © Lecture note 3 Hypothesis Testing MAKE HYPOTHESIS ©
Hypothesis Testing.
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.
Chapter 8 Introduction to Hypothesis Testing
Statistical Inference Decision Making (Hypothesis Testing) Decision Making (Hypothesis Testing) A formal method for decision making in the presence of.
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.
Inference and Inferential Statistics Methods of Educational Research EDU 660.
Chapter 8 Introduction to Hypothesis Testing ©. Chapter 8 - Chapter Outcomes After studying the material in this chapter, you should be able to: 4 Formulate.
Hypothesis Testing – A Primer. Null and Alternative Hypotheses in Inferential Statistics Null hypothesis: The default position that there is no relationship.
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.
1 Chapter 8 Introduction to Hypothesis Testing. 2 Name of the game… Hypothesis testing Statistical method that uses sample data to evaluate a hypothesis.
Statistical Inference for the Mean Objectives: (Chapter 9, DeCoursey) -To understand the terms: Null Hypothesis, Rejection Region, and Type I and II errors.
Foundations of Sociological Inquiry Statistical Analysis.
Power Analysis for Traditional and Modern Hypothesis Tests
Copyright © 2011 Pearson Education, Inc. Putting Statistics to Work.
© 2006 by The McGraw-Hill Companies, Inc. All rights reserved. 1 Chapter 7 Sampling, Significance Levels, and Hypothesis Testing Three scientific traditions.
Analyzing Statistical Inferences July 30, Inferential Statistics? When? When you infer from a sample to a population Generalize sample results to.
_ z = X -  XX - Wow! We can use the z-distribution to test a hypothesis.
1.  What inferential statistics does best is allow decisions to be made about populations based on the information about samples.  One of the most useful.
© 2013 Pearson Education, Inc. Active Learning Lecture Slides For use with Classroom Response Systems Introductory Statistics: Exploring the World through.
Course Overview Collecting Data Exploring Data Probability Intro. Inference Comparing Variables Relationships between Variables Means/Variances Proportions.
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.
Chapter 13 Understanding research results: statistical inference.
Hypothesis Testing Steps for the Rejection Region Method State H 1 and State H 0 State the Test Statistic and its sampling distribution (normal or t) Determine.
If we fail to reject the null when the null is false what type of error was made? Type II.
Chapter 9: Hypothesis Tests for One Population Mean 9.2 Terms, Errors, and Hypotheses.
Statistical Inference for the Mean Objectives: (Chapter 8&9, DeCoursey) -To understand the terms variance and standard error of a sample mean, Null Hypothesis,
Ex St 801 Statistical Methods Part 2 Inference about a Single Population Mean (HYP)
Dr. Amjad El-Shanti MD, PMH,Dr PH University of Palestine 2016
Dr.MUSTAQUE AHMED MBBS,MD(COMMUNITY MEDICINE), FELLOWSHIP IN HIV/AIDS
MATH 2311 Section 8.2.
P-value Approach for Test Conclusion
Statistical Tests P Values.
Statistical inference
Statistical Inference
Chapter 9: Hypothesis Tests Based on a Single Sample
Hypothesis Tests for Proportions
Hypothesis Testing.
Inferential Statistics (Part IV)
Power and Sample Size I HAVE THE POWER!!! Boulder 2006 Benjamin Neale.
Sample Mean Compared to a Given Population Mean
Sample Mean Compared to a Given Population Mean
Inferential statistics Study a sample Conclude about the population Two processes: Estimation (Point or Interval) Hypothesis testing.
Inference as Decision Section 10.4.
AP STATISTICS LESSON 10 – 4 (DAY 2)
Statistical Power.
Rest of lecture 4 (Chapter 5: pg ) Statistical Inferences
Statistical inference
Presentation transcript:

Inferential Statistics Body of statistical computations relevant to making inferences from findings based on sample observations to some larger population Used for hypothesis testing

Types of Hypotheses Research (alternative) hypothesis: –States the expected relationship or difference between two or more variables –Published in reports/findings Null Hypothesis –Suggests there is no relationship among the variables under study –Null is statistically tested –Belief in the null hypothesis continues until there is sufficient evidence to the contrary

Hypothesis Testing/Significance Levels The researcher sets the significance level, or p, for each statistical test The degree of error the researcher finds acceptable in a statistical test Generally p<.05 is acceptable –5 out of 100 findings that appear to be valid will be due to chance –If p >.05, the finding is non-significant and null hypothesis is retained –If p <.05, the finding is significant, null hypothesis rejected

In reality, the null hypothesis is true In reality, the null hypothesis is false Use level of significance to reject null Type I error – Null is rejected even though it is true Decision 1 – Null is rejected when it is false Use level of significance to retain the null Decision 2 – Null is retained when it is true Type II error – Null is retained even though it is false