Lec. 19 – Hypothesis Testing: The Null and Types of Error.

Slides:



Advertisements
Similar presentations
Introduction to Hypothesis Testing
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)
Topics Today: Case I: t-test single mean: Does a particular sample belong to a hypothesized population? Thursday: Case II: t-test independent means: Are.
Business 205. Review Sampling Continuous Random Variables Central Limit Theorem Z-test.
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
9-1 Hypothesis Testing Statistical Hypotheses Statistical hypothesis testing and confidence interval estimation of parameters are the fundamental.
Final Jeopardy $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 LosingConfidenceLosingConfidenceTesting.
Lecture 13: Review One-Sample z-test and One-Sample t-test 2011, 11, 1.
Hypothesis Testing Lecture 4. Examples of various hypotheses The sodium content in Furresøen is x Sodium content in Furresøen is equal to the content.
T-Tests Lecture: Nov. 6, 2002.
Hypothesis Testing and T-Tests. Hypothesis Tests Related to Differences Copyright © 2009 Pearson Education, Inc. Chapter Tests of Differences One.
INFERENTIAL STATISTICS – Samples are only estimates of the population – Sample statistics will be slightly off from the true values of its population’s.
Hypothesis Testing with Two Samples
Testing Hypotheses I Lesson 9. Descriptive vs. Inferential Statistics n Descriptive l quantitative descriptions of characteristics n Inferential Statistics.
1 © Lecture note 3 Hypothesis Testing MAKE HYPOTHESIS ©
Hypothesis Testing.
Jump to first page HYPOTHESIS TESTING The use of sample data to make a decision either to accept or to reject a statement about a parameter value or about.
Chapter 8 Introduction to Hypothesis Testing
Claims about a Population Mean when σ is Known Objective: test a claim.
1/2555 สมศักดิ์ ศิวดำรงพงศ์
Analysis & Interpretation: Individual Variables Independently Chapter 12.
- Interfering factors in the comparison of two sample means using unpaired samples may inflate the pooled estimate of variance of test results. - It is.
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.
Chapter 9 Hypothesis Testing and Estimation for Two Population Parameters.
Chapter 9 Hypothesis Testing II: two samples Test of significance for sample means (large samples) The difference between “statistical significance” and.
Hypothesis testing Chapter 9. Introduction to Statistical Tests.
4 Hypothesis & Testing. CHAPTER OUTLINE 4-1 STATISTICAL INFERENCE 4-2 POINT ESTIMATION 4-3 HYPOTHESIS TESTING Statistical Hypotheses Testing.
PY 603 – Advanced Statistics II TR 12:30-1:45pm 232 Gordon Palmer Hall Jamie DeCoster.
1 9 Tests of Hypotheses for a Single Sample. © John Wiley & Sons, Inc. Applied Statistics and Probability for Engineers, by Montgomery and Runger. 9-1.
Statistical Inference for the Mean Objectives: (Chapter 9, DeCoursey) -To understand the terms: Null Hypothesis, Rejection Region, and Type I and II errors.
Introduction to data analysis: Case studies with iSIKHNAS data Day 3 Beef self-sufficiency 1/ 69.
Testing Regression Coefficients Prepared by: Bhakti Joshi February 06, 2012.
Chapter 10 The t Test for Two Independent Samples.
Hypothesis Testing Errors. Hypothesis Testing Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean.
Anthony Greene1 Two Sample t-test: Hypothesis of Differences Between Two Groups 1.Is Group “A” Different Than Group “B”? 2.Does an Experimental Manipulation.
p-value use to determine if there’s a “statistically significant difference” between groups of data probability of error by convention, if p > 0.05, then.
- 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.
AGENDA Review In-Class Group Problems Review. Homework #3 Due on Thursday Do the first problem correctly Difference between what should happen over the.
Tests of Significance: The Basics ESS chapter 15 © 2013 W.H. Freeman and Company.
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.
1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Chapter 12 Tests of Goodness of Fit and Independence n Goodness of Fit Test: A Multinomial.
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.
The Idea of the Statistical Test. A statistical test evaluates the "fit" of a hypothesis to a sample.
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,
Practice You recently finished giving 5 Villanova students the MMPI paranoia measure. Determine if Villanova students’ paranoia score is significantly.
1 Underlying population distribution is continuous. No other assumptions. Data need not be quantitative, but may be categorical or rank data. Very quick.
Learning Objectives Describe the hypothesis testing process Distinguish the types of hypotheses Explain hypothesis testing errors Solve hypothesis testing.
STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample
STA 291 Spring 2010 Lecture 18 Dustin Lueker.
Dr.MUSTAQUE AHMED MBBS,MD(COMMUNITY MEDICINE), FELLOWSHIP IN HIV/AIDS
Hypothesis Testing II: The Two-sample Case
Hypothesis Testing: Hypotheses
CONCEPTS OF HYPOTHESIS TESTING
Chapter Review Problems
P-value Approach for Test Conclusion
Inferences on Two Samples Summary
Chapter 9: Hypothesis Testing
Statistical Inference
Chapter 9: Hypothesis Tests Based on a Single Sample
Hypothesis Tests for Proportions
Recipe for any Hypothesis Test
CHAPTER 6 Statistical Inference & Hypothesis Testing
STA 291 Summer 2008 Lecture 18 Dustin Lueker.
Testing Hypotheses I Lesson 9.
Tests of Significance Section 10.2.
Hypothesis Testing for Proportions
Statistical Inference for the Mean: t-test
Hypothesis Testing for the mean. The general procedure.
Presentation transcript:

Lec. 19 – Hypothesis Testing: The Null and Types of Error

How Science Works...

Example of a statistical test?

Components of the theory about testing statistical hypotheses about parameters of population distributions:

Description of Null and Alternative Hypotheses

Null hypothesis

Alternative hypothesis

Consequences of testing

Choice of estimators of parameters and test statistics

How the test statistic, z, works in the t-test

Significance levels and rejection or critical regions

Consequences of changing 

Types of Error and their Probabilities

Number of observations required for a test