200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 ProportionMisc.Grab BagRatiosIntro.

Slides:



Advertisements
Similar presentations
Introduction to Hypothesis Testing
Advertisements

Hypothesis testing Another judgment method of sampling data.
CHAPTER 21 Inferential Statistical Analysis. Understanding probability The idea of probability is central to inferential statistics. It means the chance.
Inference Sampling distributions Hypothesis testing.
1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Chapter 9 Hypothesis Testing Developing Null and Alternative Hypotheses Developing Null and.
Fundamentals of Forensic DNA Typing Slides prepared by John M. Butler June 2009 Appendix 3 Probability and Statistics.
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.
Business 205. Review Sampling Continuous Random Variables Central Limit Theorem Z-test.
Section 7.1 Hypothesis Testing: Hypothesis: Null Hypothesis (H 0 ): Alternative Hypothesis (H 1 ): a statistical analysis used to decide which of two competing.
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
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?
Cal State Northridge  320 Ainsworth Sampling Distributions and Hypothesis Testing.
Statistical Significance What is Statistical Significance? How Do We Know Whether a Result is Statistically Significant? How Do We Know Whether a Result.
Chapter 6 Hypotheses texts. Central Limit Theorem Hypotheses and statistics are dependent upon this theorem.
Hypothesis Testing: Type II Error and Power.
PSY 1950 Confidence and Power December, Requisite Quote “The picturing of data allows us to be sensitive not only to the multiple hypotheses that.
4-1 Statistical Inference The field of statistical inference consists of those methods used to make decisions or draw conclusions about a population.
Chapter 9 Hypothesis Testing.
Chapter 12 Inferring from the Data. Inferring from Data Estimation and Significance testing.
One Sample  M ean μ, Variance σ 2, Proportion π Two Samples  M eans, Variances, Proportions μ1 vs. μ2 σ12 vs. σ22 π1 vs. π Multiple.
AM Recitation 2/10/11.
1 © Lecture note 3 Hypothesis Testing MAKE HYPOTHESIS ©
Hypothesis testing is used to make decisions concerning the value of a parameter.
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.
Sections 8-1 and 8-2 Review and Preview and Basics of Hypothesis Testing.
1/2555 สมศักดิ์ ศิวดำรงพงศ์
Overview Basics of Hypothesis Testing
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.
Topics: Statistics & Experimental Design The Human Visual System Color Science Light Sources: Radiometry/Photometry Geometric Optics Tone-transfer Function.
1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Slides by JOHN LOUCKS St. Edward’s University.
Mid-Term Review Final Review Statistical for Business (1)(2)
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.
Agresti/Franklin Statistics, 1 of 122 Chapter 8 Statistical inference: Significance Tests About Hypotheses Learn …. To use an inferential method called.
1 Lecture note 4 Hypothesis Testing Significant Difference ©
Hypothesis Testing State the hypotheses. Formulate an analysis plan. Analyze sample data. Interpret the results.
Chapter 20 Testing Hypothesis about proportions
Statistical Inference for the Mean Objectives: (Chapter 9, DeCoursey) -To understand the terms: Null Hypothesis, Rejection Region, and Type I and II errors.
Slide Slide 1 Copyright © 2007 Pearson Education, Inc Publishing as Pearson Addison-Wesley. Overview.
Education 793 Class Notes Decisions, Error and Power Presentation 8.
Hypothesis Testing with One Sample Chapter 7. § 7.1 Introduction to Hypothesis Testing.
Copyright © 2011 Pearson Education, Inc. Putting Statistics to Work.
Power and Sample Size Anquan Zhang presents For Measurement and Statistics Club.
One-Sample Hypothesis Tests Chapter99 Logic of Hypothesis Testing Statistical Hypothesis Testing Testing a Mean: Known Population Variance Testing a Mean:
Inen 460 Lecture 2. Estimation (ch. 6,7) and Hypothesis Testing (ch.8) Two Important Aspects of Statistical Inference Point Estimation – Estimate an unknown.
Formulating the Hypothesis null hypothesis 4 The null hypothesis is a statement about the population value that will be tested. null hypothesis 4 The null.
- 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.
Introduction to Hypothesis Testing
Statistical Inference Statistical inference is concerned with the use of sample data to make inferences about unknown population parameters. For example,
1 Definitions In statistics, a hypothesis is a claim or statement about a property of a population. A hypothesis test is a standard procedure for testing.
Course Overview Collecting Data Exploring Data Probability Intro. Inference Comparing Variables Relationships between Variables Means/Variances Proportions.
1 Section 8.2 Basics of Hypothesis Testing Objective For a population parameter (p, µ, σ) we wish to test whether a predicted value is close to the actual.
A short introduction to epidemiology Chapter 6: Precision Neil Pearce Centre for Public Health Research Massey University Wellington, New Zealand.
If we fail to reject the null when the null is false what type of error was made? Type II.
C HAPTER 2  Hypothesis Testing -Test for one means - Test for two means -Test for one and two proportions.
Estimating a Population Proportion ADM 2304 – Winter 2012 ©Tony Quon.
Statistical Inference for the Mean Objectives: (Chapter 8&9, DeCoursey) -To understand the terms variance and standard error of a sample mean, Null Hypothesis,
ESTIMATION.
Review and Preview and Basics of Hypothesis Testing
STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample
Hypothesis Testing II: The Two-sample Case
CONCEPTS OF HYPOTHESIS TESTING
Chapter 9 Hypothesis Testing.
Statistical inference
Chapter Nine Part 1 (Sections 9.1 & 9.2) Hypothesis Testing
Statistical Inference for Managers
CHAPTER 6 Statistical Inference & Hypothesis Testing
More About Tests Notes from
Statistical inference
Presentation transcript:

ProportionMisc.Grab BagRatiosIntro

A random event characterized as either a “success” or a “failure”.

What is a “Bernoulli trial”?

The proportion of individuals with a condition at a point in time.

What is “prevalence”?

One minus p-hat.

What is q-hat?

This symbol represents the proportion in the population.

What is parameter p?

This rule is used to determine whether a z statistic can be use to test a proportion.

What is the “npq rule”?

Shows the extent to which the sample mean difference would take on different values with repeated samples of the same size.

What is the standard error of the mean difference?

The characteristics of a sampling distributions that allow for inference.

What are its assumed “distributional conditions”?

The hypothetical distribution of upon repeated samples.

What is the sampling distribution of ?

The standard deviation of (a measure of its precision)

What is the standard error of ?

Subtracting the incidence in the unexposed group from that of the exposed group.

What is risk difference?

The hypothetical distribution of p-hat 1 minus p-hat 2 upon repeated samples.

What is the sampling distribution of 1 - 2?

The standard deviation of the sampling distribution of the difference of proportions (measures precision of the estimate)

What is the standard error of

The symbol used to denote total number of successes divided by the total number of observations in two samples.

What is ?

This is the complement of alpha.

What is the confidence (1-α)?

A statistical test in which the alternative hypothesis pre- specifies the direction of the difference.

What is the one-sided test?

The alpha level at which we would reject the null hypothesis.

What is significance level?

The type of error that occurs with rejection of a true null hypothesis.

What is Type I Error?

The type of error that comes with retaining an incorrect null hypothesis.

What is Type II error?

Denotes the probability of a type II error.

What is beta (ß)?

The complement of ß: the probability of rejecting a false null hypothesis.

What is the power (1-ß)?

A numerical value calculated from data in a sample.

What is a statistic?

The hypothetical distribution of a mean that would occur from repeated SRSs of size n from the same population.

What is the sampling distribution of the mean (SDM)?

This statistic indicates how much a particular sample mean is likely to differ from the population mean.

What is the standard error of the mean?

DOUBLE JEOPARDY!

Just kidding! (Pick another slide.)

The larger the sample, the more likely the sample mean will be about equal to the population mean.

What is the “law of large numbers”?