40-Opening 5 6 7 8 9 10 0-Opening11 統計學授課教師：楊維寧 12Simple-R-Commands.

Slides:

Advertisements

Similar presentations

Inference in the Simple Regression Model

Advertisements

Testing a Claim about a Proportion Assumptions 1.The sample was a simple random sample 2.The conditions for a binomial distribution are satisfied 3.Both.

Sampling: Final and Initial Sample Size Determination

STAT 270 What’s going to be on the quiz and/or the final exam?

Probability & Statistical Inference Lecture 7 MSc in Computing (Data Analytics)

Estimating the Population Mean Assumptions 1.The sample is a simple random sample 2.The value of the population standard deviation (σ) is known 3.Either.

The Normal Distribution. n = 20,290  =  = Population.

政治大學中山所共同選修課程名稱：社會科學計量方法與統計－計量方法 Methodology of Social Sciences 授課內容： Inference in the Simple Regression Model 日期： 2003 年 10 月日.

Chapter 3 Hypothesis Testing. Curriculum Object Specified the problem based the form of hypothesis Student can arrange for hypothesis step Analyze a problem.

1 Inference About a Population Variance Sometimes we are interested in making inference about the variability of processes. Examples: –Investors use variance.

Chapter 9 Hypothesis Testing.

1 (Student’s) T Distribution. 2 Z vs. T Many applications involve making conclusions about an unknown mean . Because a second unknown, , is present,

1 Confidence Intervals for Means. 2 When the sample size n< 30 case1-1. the underlying distribution is normal with known variance case1-2. the underlying.

Confidence Intervals for the Mean (σ Unknown) (Small Samples)

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.

1/2555 สมศักดิ์ ศิวดำรงพงศ์

10-Opening Picture of Probability and statistics 9.

SECTION 6.4 Confidence Intervals for Variance and Standard Deviation Larson/Farber 4th ed 1.

Dan Piett STAT West Virginia University

Confidence Intervals (Chapter 8) Confidence Intervals for numerical data: –Standard deviation known –Standard deviation unknown Confidence Intervals for.

Basic Business Statistics, 11e © 2009 Prentice-Hall, Inc. Chap 8-1 Confidence Interval Estimation.

Confidence Intervals Elementary Statistics Larson Farber Chapter 6.

1 1 Slide © 2008 Thomson South-Western. All Rights Reserved Chapter 11 Inferences About Population Variances n Inference about a Population Variance n.

CHAPTER 11 DAY 1. Assumptions for Inference About a Mean  Our data are a simple random sample (SRS) of size n from the population.  Observations from.

4 Hypothesis & Testing. CHAPTER OUTLINE 4-1 STATISTICAL INFERENCE 4-2 POINT ESTIMATION 4-3 HYPOTHESIS TESTING Statistical Hypotheses Testing.

Normal Distribution.

Interval Estimation and Hypothesis Testing Prepared by Vera Tabakova, East Carolina University.

Confidence Intervals for the Mean (Small Samples) 1 Larson/Farber 4th ed.

Confidence Intervals Chapter 6. § 6.3 Confidence Intervals for Population Proportions.

: An alternative representation of level of significance. - normal distribution applies. - α level of significance (e.g. 5% in two tails) determines the.

BA 201 Lecture 13 Sample Size Determination and Ethical Issues.

Confidence Intervals for Variance and Standard Deviation.

40-Opening Opening11 統計學授課教師：楊維寧 12Simple-R-Commands.

Statistics 300: Elementary Statistics Sections 7-2, 7-3, 7-4, 7-5.

Mystery 1Mystery 2Mystery 3.

Inference for the Mean of a Population Section 11.1 AP Exam Registration Deadline: March 17 th Late Fee ($50): March 18 th – March 24 th Financial Aid.

7.5 Hypothesis Testing for Variance and Standard Deviation Key Concepts: –The Chi-Square Distribution –Critical Values and Rejection Regions –Chi-Square.

Recapitulation! Statistics 515. What Have We Covered? Elements Variables and Populations Parameters Samples Sample Statistics Population Distributions.

Statistics for Business and Economics 8 th Edition Chapter 7 Estimation: Single Population Copyright © 2013 Pearson Education, Inc. Publishing as Prentice.

Confidence Intervals for a Population Mean, Standard Deviation Unknown.

Statistical Inference Statistical inference is concerned with the use of sample data to make inferences about unknown population parameters. For example,

Beginning Statistics Table of Contents HAWKES LEARNING SYSTEMS math courseware specialists Copyright © 2008 by Hawkes Learning Systems/Quant Systems, Inc.

Confidence Intervals Chapter 6. § 6.1 Confidence Intervals for the Mean (Large Samples)

Section 6.4 Inferences for Variances. Chi-square probability densities.

Copyright © 2015, 2012, and 2009 Pearson Education, Inc. 1 Section 6.2 Confidence Intervals for the Mean (  Unknown)

Section 6.2 Confidence Intervals for the Mean (Small Samples) Larson/Farber 4th ed.

MATB344 Applied Statistics I. Experimental Designs for Small Samples II. Statistical Tests of Significance III. Small Sample Test Statistics Chapter 10.

10.1 – Estimating with Confidence. Recall: The Law of Large Numbers says the sample mean from a large SRS will be close to the unknown population mean.

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.

6.3 One- and Two- Sample Inferences for Means. If σ is unknown Estimate σ by sample standard deviation s The estimated standard error of the mean will.

Section 6.2 Confidence Intervals for the Mean (Small Samples) © 2012 Pearson Education, Inc. All rights reserved. 1 of 83.

統計學 Spring 2004 授課教師：統計系余清祥日期：2004年3月16日第五週：比較變異數.

Introduction For inference on the difference between the means of two populations, we need samples from both populations. The basic assumptions.

Inference for the Mean of a Population

Review 1. Describing variables.

STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample

Chapter 6 Confidence Intervals.

Econ Roadmap Focus Midterm 1 Focus Midterm 2 Focus Final Intro

Inference on Mean, Var Unknown

Statistical Inference for the Mean Confidence Interval

Chapter 12 Inference on the Least-squares Regression Line; ANOVA

Bootstrap Confidence Intervals using Percentiles

Introduction to Inference

Inference about Two Means: Independent Samples

Chapter 6 Confidence Intervals.

CHAPTER 6 Statistical Inference & Hypothesis Testing

Chapter Outline Inferences About the Difference Between Two Population Means: s 1 and s 2 Known.

Chapter 6 Confidence Intervals.

Interval Estimation Download this presentation.

How Confident Are You?.

Presentation transcript:

40-Opening

5

6

7

8

9

10

0-Opening11

統計學授課教師：楊維寧 12Simple-R-Commands

統計學授課教師：楊維寧 13Simple-R-Commands

統計學授課教師：楊維寧 14Simple-R-Commands

統計學授課教師：楊維寧 15Simple-R-Commands

統計學授課教師：楊維寧 16Simple-R-Commands

統計學授課教師：楊維寧 17Simple-R-Commands

統計學授課教師：楊維寧 18Simple-R-Commands

1-Picture of Probability and statistics 19

1-Picture of Probability and statistics20

1-Picture of Probability and statistics 21

1-Picture of Probability and statistics

23

1-Picture of Probability and statistics24

25 2-Hypothesis Testing and Sampling Distribution

26

2-Hypothesis Testing and Sampling Distribution 27

2-Hypothesis Testing and Sampling Distribution 28

2-Hypothesis Testing and Sampling Distribution 29

30 Random Variable and Binomial Distribution

31

Random Variable and Binomial Distribution32

Random Variable and Binomial Distribution33

Random Variable and Binomial Distribution 34

Random Variable and Binomial Distribution35

36 4-Negative-Binomial Distribution and Inference on p

37

4-Negative-Binomial Distribution and Inference on p 38

4-Negative-Binomial Distribution and Inference on p 39

40 Hypergeometric Distribution and Inference on N

41

Hypergeometric Distribution and Inference on N 42

Hypergeometric Distribution and Inference on N 43

Hypergeometric Distribution and Inference on N 44

Hypergeometric Distribution and Inference on N 45

466-Hypothesis Testing-Errors

47

6-Hypothesis Testing-Errors48

6-Hypothesis Testing-Errors49

6-Hypothesis Testing-Errors50

6-Hypothesis Testing-Errors51

52 7-Critical Region and p-Value --- A (Right- Tailed)

53

7-Critical Region and p-Value --- A (Right- Tailed) 54

7-Critical Region and p-Value --- A (Right- Tailed) 55

7-Critical Region and p-Value --- A (Right- Tailed) 56

7-Critical Region and p-Value --- A (Right- Tailed) 57

58 8-Critical Region and p-Value --- B (Left- Tailed)

59

8-Critical Region and p-Value --- B (Left- Tailed) 60

8-Critical Region and p-Value --- B (Left- Tailed) 61

8-Critical Region and p-Value --- B (Left- Tailed) 62

8-Critical Region and p-Value --- B (Left- Tailed) 63

8-Critical Region and p-Value --- B (Left- Tailed) 64

8-Critical Region and p-Value --- B (Left- Tailed) 65

8-Critical Region and p-Value --- B (Left- Tailed) 66

67 9-Critical Region and p-value --- C (Two- Tailed)

68 9-Critical Region and p-value --- C (Two- Tailed)

69 9-Critical Region and p-value --- C (Two- Tailed)

70 9-Critical Region and p-value --- C (Two- Tailed)

71 9-Critical Region and p-value --- C (Two- Tailed)

729-1 Left/Right/Two-tailed Tests

73

9-1 Left/Right/Two-tailed Tests74

9-1 Left/Right/Two-tailed Tests75

9-1 Left/Right/Two-tailed Tests76

9-1 Left/Right/Two-tailed Tests77

9-1 Left/Right/Two-tailed Tests78

79 10-Critical Region and p-Value for Percentile

80 10-Critical Region and p-Value for Percentile

81 10-Critical Region and p-Value for Percentile

82 10-Critical Region and p-Value for Percentile

統計學授課教師：楊維寧 83R-Right-tailed

統計學授課教師：楊維寧 84R-Right-tailed

統計學授課教師：楊維寧 85R-Left-tailed

統計學授課教師：楊維寧 86R-Left-tailed

8711-Confidence Interval (Principle)

8811-Confidence Interval (Principle)

8911-Confidence Interval (Principle)

9011-Confidence Interval (Principle)

9111-Confidence Interval (Principle)

9211-Confidence Interval (Principle)

9311-Confidence Interval (Principle)

94 12-Constructing Confidence Interval

9512-Constructing Confidence Interval

9612-Constructing Confidence Interval

9712-Constructing Confidence Interval

9812-Constructing Confidence Interval

9912-Constructing Confidence Interval

10013-Confidence Interval (Binomial)

10113-Confidence Interval (Binomial)

10213-Confidence Interval (Binomial)

10313-Confidence Interval (Binomial)

Confidence Interval (Neg-Binomial and Hypergeometric)

Confidence Interval (Neg-Binomial and Hypergeometric)

Confidence Interval (Neg-Binomial and Hypergeometric)

Confidence Interval (Neg-Binomial and Hypergeometric)

Confidence Interval (Neg-Binomial and Hypergeometric)

Confidence Interval (Neg-Binomial and Hypergeometric)

Confidence Interval (Neg-Binomial and Hypergeometric)

Confidence Interval (Neg-Binomial and Hypergeometric)

11215-Confidence Interval for Quantile

11315-Confidence Interval for Quantile

11415-Confidence Interval for Quantile

11515-Confidence Interval for Quantile

11616-Distribution of Sample Mean

11716-Distribution of Sample Mean

11816-Distribution of Sample Mean

119

16-Distribution of Sample Mean120

16-Distribution of Sample Mean121

12216-Distribution of Sample Mean

12316-Distribution of Sample Mean

12416-Distribution of Sample Mean

12516-Distribution of Sample Mean

12616-Distribution of Sample Mean

12716-Distribution of Sample Mean

12817-Inference on Mu (Sigma Known)

12917-Inference on Mu (Sigma Known)

13017-Inference on Mu (Sigma Known)

13117-Inference on Mu (Sigma Known)

13217-Inference on Mu (Sigma Known)

13318-Inference on p (Normal)

13418-Inference on p (Normal)

13518-Inference on p (Normal)

13618-Inference on p (Normal)

13718-Inference on p (Normal)

13818-Inference on p (Normal)

13918-Inference on p (Normal)

14018-Inference on p (Normal)

19-Chisquare and t Distributions141

14219-Chisquare and t Distributions

14319-Chisquare and t Distributions

14419-Chisquare and t Distributions

14519-Chisquare and t Distributions

14620-Inference on Mu (Sigma Unknown)

14720-Inference on Mu (Sigma Unknown)

14820-Inference on Mu (Sigma Unknown)

14920-Inference on Mu (Sigma Unknown)

15020-Inference on Mu (Sigma Unknown)

15120-Inference on Mu (Sigma Unknown)

15227-Sample Size and Inference Precision

15327-Sample Size and Inference Precision

154

27-Sample Size and Inference Precision155

15627-Sample Size and Inference Precision

15727-Sample Size and Inference Precision

15827-Sample Size and Inference Precision

159

16027-Sample Size and Inference Precision

16127-Sample Size and Inference Precision

16227-Sample Size and Inference Precision

16327-Sample Size and Inference Precision

16427-Sample Size and Inference Precision

16528A-Sensitivity-Specificity-ROC.curve

166

28A-Sensitivity-Specificity-ROC.curve167

28A-Sensitivity-Specificity-ROC.curve168

28-Sample Size and Power169

28-Sample Size and Power170

28-Sample Size and Power171

統計學授課教師：楊維寧 Sample Size and Power

統計學授課教師：楊維寧 Sample Size and Power

統計學授課教師：楊維寧 Sample Size and Power

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 Review Big Picture of Statistics

統計學授課教師：楊維寧 184Standard Error of an Estimator

統計學授課教師：楊維寧 185Standard Error of an Estimator

統計學授課教師：楊維寧

統計學

統計學

統計學

統計學 190BigPicture

統計學授課教師：楊維寧 191BigPicture

統計學授課教師：楊維寧 192BigPicture