+ All Categories
Home > Documents > 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances...

10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances...

Date post: 19-Dec-2015
Category:

Documents
View: 214 times
Download: 1 times
Download Report this document
Share this document with a friend
Popular Tags:
normal distributions
definition slide
introduction slide
variances unknown case
choice of sample size
onesided confidence
hypotheses tests
upper confidence
84
Transcript
Page 1: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.
Page 2: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.
Page 3: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.
Page 4: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-1 Introduction

Page 5: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Figure 10-1 Two independent populations.

Page 6: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Assumptions

Page 7: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Page 8: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

10-2.1 Hypothesis Tests for a Difference in Means, Variances Known

Page 9: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Example 10-1

Page 10: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Example 10-1

Page 11: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Example 10-1

Page 12: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

10-2.2 Choice of Sample Size

Use of Operating Characteristic Curves

Two-sided alternative:

One-sided alternative:

Page 13: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

10-2.2 Choice of Sample Size

Sample Size Formulas

Two-sided alternative:

Page 14: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

10-2.2 Choice of Sample Size

Sample Size Formulas

One-sided alternative:

Page 15: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Example 10-3

Page 16: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

10-2.3 Identifying Cause and Effect

• When statistical significance is observed in a randomized experiment, the experimenter can be confident in the conclusion that it was the difference in treatments that resulted in the difference in response.

• That is, we can be confident that a cause-and-effect relationship has been found.

Page 17: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

10-2.4 Confidence Interval on a Difference in Means, Variances Known

Definition

Page 18: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Example 10-4

Page 19: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Example 10-4

Page 20: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

Choice of Sample Size

Page 21: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known

One-Sided Confidence Bounds

Upper Confidence Bound

Lower Confidence Bound

Page 22: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

10-3.1 Hypotheses Tests for a Difference in Means, Variances Unknown

We wish to test:

Case 1: 22

221

Page 23: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

10-3.1 Hypotheses Tests for a Difference in Means, Variances Unknown

The pooled estimator of 2:

Case 1: 222

21

Page 24: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

10-3.1 Hypotheses Tests for a Difference in Means, Variances Unknown

Case 1: 222

21

Page 25: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Definition: The Two-Sample or Pooled t-Test*

Page 26: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Example 10-5

Page 27: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Example 10-5

Page 28: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Example 10-5

Page 29: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Example 10-5

Page 30: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Minitab Output for Example 10-5

Page 31: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Figure 10-2 Normal probability plot and comparative box plot for the catalyst yield data in Example 10-5. (a) Normal probability plot, (b) Box plots.

Page 32: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown10-3.1 Hypotheses Tests for a Difference in Means, Variances Unknown

22

21 Case 2:

is distributed approximately as t with degrees of freedom given by

Page 33: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown10-3.1 Hypotheses Tests for a Difference in Means, Variances Unknown

22

21 Case 2:

Page 34: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances UnknownExample 10-6

Page 35: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-6

Figure 10-3 Normal probability plot of the arsenic concentration data from Example 10-6.

Page 36: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-6

Page 37: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-6

Page 38: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

10-3.3 Choice of Sample Size

Two-sided alternative:

Page 39: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Example 10-7

Page 40: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3 Inference for a Difference in Means of Two Normal Distributions, Variances Unknown

Minitab Output for Example 10-7

Page 41: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3.4 Confidence Interval on the Difference in Means

Case 1:

222

21

Page 42: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3.4 Confidence Interval on the Difference in Means

Case 1:

222

21

Example 10-8

Page 43: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3.4 Confidence Interval on the Difference in Means

Case 1:

222

21

Example 10-8

Page 44: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3.4 Confidence Interval on the Difference in Means

Case 1:

222

21

Example 10-8

Page 45: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3.4 Confidence Interval on the Difference in Means

Case 1:

222

21

Example 10-8

Page 46: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-3.4 Confidence Interval on the Difference in Means

Case 2:

Definition

22

21

Page 47: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

• A special case of the two-sample t-tests of Section 10-3 occurs when the observations on the two populations of interest are collected in pairs.

• Each pair of observations, say (X1j , X2j ), is taken under homogeneous conditions, but these conditions may change from one pair to another.

• The test procedure consists of analyzing the differences between hardness readings on each specimen.

10-4 Paired t-Test

Page 48: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

The Paired t-Test

10-4 Paired t-Test

Page 49: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-9

10-4 Paired t-Test

Page 50: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-9

10-4 Paired t-Test

Page 51: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-9

10-4 Paired t-Test

Page 52: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Paired Versus Unpaired Comparisons

10-4 Paired t-Test

Page 53: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

A Confidence Interval for D

10-4 Paired t-Test

Definition

Page 54: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-10

10-4 Paired t-Test

Page 55: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-10

10-4 Paired t-Test

Page 56: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.1 The F Distribution

10-5 Inferences on the Variances of Two Normal Populations

We wish to test the hypotheses:

• The development of a test procedure for these hypotheses requires a new probability distribution, the F distribution.

Page 57: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.1 The F Distribution

10-5 Inferences on the Variances of Two Normal Populations

Page 58: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.1 The F Distribution

10-5 Inferences on the Variances of Two Normal Populations

Page 59: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.1 The F Distribution

10-5 Inferences on the Variances of Two Normal Populations

The lower-tail percentage points f-1,u, can be found as follows.

Page 60: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.3 Hypothesis Tests on the Ratio of Two Variances

10-5 Inferences on the Variances of Two Normal Populations

Page 61: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.3 Hypothesis Tests on the Ratio of Two Variances

10-5 Inferences on the Variances of Two Normal Populations

Page 62: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-11

10-5 Inferences on the Variances of Two Normal Populations

Page 63: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-11

10-5 Inferences on the Variances of Two Normal Populations

Page 64: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-11

10-5 Inferences on the Variances of Two Normal Populations

Page 65: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.4 -Error and Choice of Sample Size

10-5 Inferences on the Variances of Two Normal Populations

Page 66: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-12

10-5 Inferences on the Variances of Two Normal Populations

Page 67: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-5.5 Confidence Interval on the Ratio of Two Variances

10-5 Inferences on the Variances of Two Normal Populations

Page 68: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-13

10-5 Inferences on the Variances of Two Normal Populations

Page 69: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-13

10-5 Inferences on the Variances of Two Normal Populations

Page 70: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-13

10-5 Inferences on the Variances of Two Normal Populations

Page 71: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-6.1 Large-Sample Test for H0: p1 = p2

10-6 Inference on Two Population Proportions

We wish to test the hypotheses:

Page 72: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-6.1 Large-Sample Test for H0: p1 = p2

10-6 Inference on Two Population Proportions

The following test statistic is distributed approximately as standard normal and is the basis of the test:

Page 73: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-6.1 Large-Sample Test for H0: p1 = p2

10-6 Inference on Two Population Proportions

Page 74: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-14

10-6 Inference on Two Population Proportions

Page 75: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-14

10-6 Inference on Two Population Proportions

Page 76: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-14

10-6 Inference on Two Population Proportions

Page 77: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Minitab Output for Example 10-14

10-6 Inference on Two Population Proportions

Page 78: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-6.3 -Error and Choice of Sample Size

10-6 Inference on Two Population Proportions

Page 79: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-6.3 -Error and Choice of Sample Size

10-6 Inference on Two Population Proportions

Page 80: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-6.3 -Error and Choice of Sample Size

10-6 Inference on Two Population Proportions

Page 81: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

10-6.4 Confidence Interval for p1 – p2

10-6 Inference on Two Population Proportions

Page 82: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-15

10-6 Inference on Two Population Proportions

Page 83: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Example 10-15

10-6 Inference on Two Population Proportions

Page 84: 10-1 Introduction 10-2 Inference for a Difference in Means of Two Normal Distributions, Variances Known Figure 10-1 Two independent populations.

Recommended
1 10 Statistical Inference for Two Samples 10-1 Inference on the Difference in Means of Two Normal Distributions, Variances Known 10-1.1 Hypothesis tests.

1 10 Statistical Inference for Two Samples 10-1 Inference on the Difference in Means of Two Normal Distributions, Variances Known 10-1.1 Hypothesis tests.

Documents

Manufacturing Order Variances Understanding the Variances Created during MO Close and Purge.

Manufacturing Order Variances Understanding the Variances Created during MO Close and Purge.

Documents

Chapter 10 Standard Costs and Variances Answer Key · PDF fileChapter 10 - Standard Costs and Variances 10-65 4. Generally speaking, it is the responsibility of the production department

Chapter 10 Standard Costs and Variances Answer Key · PDF fileChapter 10 - Standard Costs and Variances 10-65 4. Generally speaking, it is the responsibility of the production department

Documents

1 Topic 8 - Comparing two samples Confidence intervals/hypothesis tests for two means Hypothesis test for two variances.

1 Topic 8 - Comparing two samples Confidence intervals/hypothesis tests for two means Hypothesis test for two variances.

Documents

Chapter 9 Variance analysis: discussion elements...2018/11/02  · variances. • Interpretation of variances. • The interrelationship between variances. (e) Explain the advantages

Chapter 9 Variance analysis: discussion elements...2018/11/02  · variances. • Interpretation of variances. • The interrelationship between variances. (e) Explain the advantages

Documents

FLEXIBLE BUDGETS, VARIANCES

FLEXIBLE BUDGETS, VARIANCES

Documents

Budgets and Variances continued: Production variances.

Budgets and Variances continued: Production variances.

Documents

Chapter 9 - navimath.files.wordpress.com · PP VV. Chapter 9 Testing the Difference Between Two Means, Two Proportions, and Two Variances Section 9-1 Example 9-1 Page #475 Bluman,

Chapter 9 - navimath.files.wordpress.com · PP VV. Chapter 9 Testing the Difference Between Two Means, Two Proportions, and Two Variances Section 9-1 Example 9-1 Page #475 Bluman,

Documents

Horng-Chyi HorngStatistics II_Five43 Inference on the Variances of Two Normal Population &5-5 (&9-5)

Horng-Chyi HorngStatistics II_Five43 Inference on the Variances of Two Normal Population &5-5 (&9-5)

Documents

Hidden Error Variances and the optimal combination of static and flow dependent variances

Hidden Error Variances and the optimal combination of static and flow dependent variances

Documents

Chapter 10 Advanced variances - Practice Tests Academy · B. Calculate the operational variances in terms of price and usage and enter them in the given boxes: Operational material

Chapter 10 Advanced variances - Practice Tests Academy · B. Calculate the operational variances in terms of price and usage and enter them in the given boxes: Operational material

Documents

Statistics using ExcelTable 3: t-test assumin unequal variances 2.5 t-test for two samples assuming equal variances We will perform the same test assuming that the equality of variances

Statistics using ExcelTable 3: t-test assumin unequal variances 2.5 t-test for two samples assuming equal variances We will perform the same test assuming that the equality of variances

Documents

Group-Sequential Analysis for Two Means with Known Variances · Means with Known Variances The corresponding sample size procedure, found in PASS Sample Size software, is Group-Sequential

Group-Sequential Analysis for Two Means with Known Variances · Means with Known Variances The corresponding sample size procedure, found in PASS Sample Size software, is Group-Sequential

Documents

Chapter 9 Testing the Difference Between Two Means, Two Proportions, and Two Variances McGraw-Hill, Bluman, 7th ed., Chapter 9 1.

Chapter 9 Testing the Difference Between Two Means, Two Proportions, and Two Variances McGraw-Hill, Bluman, 7th ed., Chapter 9 1.

Documents

2015/6/191 Chap 10 More Expectations and Variances Ghahramani 3rd edition.

2015/6/191 Chap 10 More Expectations and Variances Ghahramani 3rd edition.

Documents

© Copyright McGraw-Hill 2000 9-1 CHAPTER 9 Testing the Difference Between Two Means, Two Variances, and Two Proportions.

© Copyright McGraw-Hill 2000 9-1 CHAPTER 9 Testing the Difference Between Two Means, Two Variances, and Two Proportions.

Documents

5-3 Inference on the Means of Two Populations, Variances Unknown.

5-3 Inference on the Means of Two Populations, Variances Unknown.

Documents

5-5 Inference on the Ratio of Variances of Two Normal Populations

5-5 Inference on the Ratio of Variances of Two Normal Populations

Documents