ssrs 2012 barcode font In Problem 11.65, test the null hypothesis H0:l Bayes 0.05 test. in Software

Drawing QR-Code in Software In Problem 11.65, test the null hypothesis H0:l Bayes 0.05 test.

11.73. In Problem 11.65, test the null hypothesis H0:l Bayes 0.05 test.
Decode QR Code JIS X 0510 In None
Using Barcode Control SDK for Software Control to generate, create, read, scan barcode image in Software applications.
QR-Code Generation In None
Using Barcode generation for Software Control to generate, create QR Code JIS X 0510 image in Software applications.
1 against the alternative hypothesis H1:l
Recognizing Denso QR Bar Code In None
Using Barcode decoder for Software Control to read, scan read, scan image in Software applications.
Quick Response Code Creation In C#
Using Barcode printer for .NET framework Control to generate, create QR image in Visual Studio .NET applications.
1 using a
QR Code Drawer In .NET
Using Barcode creator for ASP.NET Control to generate, create QR Code image in ASP.NET applications.
Quick Response Code Creator In .NET
Using Barcode encoder for VS .NET Control to generate, create Quick Response Code image in Visual Studio .NET applications.
CHAPTER 11 Bayesian Methods
QR Code Maker In VB.NET
Using Barcode creator for VS .NET Control to generate, create QR Code image in .NET applications.
GS1 - 13 Creation In None
Using Barcode creation for Software Control to generate, create EAN13 image in Software applications.
The Bayes 0.05 test would reject the null hypothesis if the posterior probability of the hypothesis l 1 is less than 0.05. In our case, this probability is given by the area to the left of 1 under a gamma distribution with parameters 20.5 and 0.1 and is 0.002. Since this is less than 0.05, we reject the null hypothesis.
Bar Code Generation In None
Using Barcode creator for Software Control to generate, create barcode image in Software applications.
Universal Product Code Version A Printer In None
Using Barcode creator for Software Control to generate, create UCC - 12 image in Software applications.
11.74. In Problem 11.6, assume that n 40 and x 10 and test the null hypothesis H0:u alternative H1:u 0.2 using a Bayes 0.05 test.
GS1-128 Creator In None
Using Barcode drawer for Software Control to generate, create EAN 128 image in Software applications.
ECC200 Generation In None
Using Barcode printer for Software Control to generate, create Data Matrix 2d barcode image in Software applications.
0.2 against the
USPS Intelligent Mail Generation In None
Using Barcode generator for Software Control to generate, create Intelligent Mail image in Software applications.
Draw UCC.EAN - 128 In Java
Using Barcode encoder for BIRT reports Control to generate, create GS1-128 image in BIRT reports applications.
(a) The posterior probability of the null hypothesis is given by the area from 0 to 0.2 under a beta density with parameters 12 and 31, which is determined to be 0.12 using computer software. Since this is not less than 0.05, we cannot reject the null hypothesis. (b) The posterior probability is the area from 0 to 0.2 under a beta density with parameters 13 and 31, which is 0.07. Since this is not less than 0.05, we cannot reject the null hypothesis. (c) The posterior probability is the area from 0 to 0.2 under a beta density with parameters 14 and 31, which is 0.04. Since this is less than 0.05, we reject the null hypothesis.
Drawing EAN 13 In None
Using Barcode printer for Font Control to generate, create GTIN - 13 image in Font applications.
Data Matrix 2d Barcode Generator In Visual Basic .NET
Using Barcode generator for Visual Studio .NET Control to generate, create Data Matrix image in .NET applications.
11.75. In Problem 11.48, test the null hypothesis H0:u
Painting GS1 - 13 In Visual Basic .NET
Using Barcode drawer for .NET Control to generate, create EAN-13 image in .NET framework applications.
UPC-A Encoder In None
Using Barcode creation for Microsoft Excel Control to generate, create UPC Symbol image in Office Excel applications.
0.7 against H1:u
Paint EAN13 In Java
Using Barcode maker for BIRT reports Control to generate, create GS1 - 13 image in BIRT reports applications.
Barcode Reader In Visual C#.NET
Using Barcode Control SDK for VS .NET Control to generate, create, read, scan barcode image in .NET framework applications.
0.7 using a Bayes 0.025 test.
The posterior distribution of u is gamma with parameters 10.16 and 0.04. Therefore, the posterior probability of the null hypothesis is 0.022. Since this is less than 0.025, we reject the null hypothesis.
11.76. The life-length X of a computer component has the exponential density given by (see page 118) f (x uu) ue ux, x 0 with unknown mean 1>u. Suppose that the prior density of u is gamma with parameters a 0.2 and b 0.15. If a random sample of 10 observations on X yielded an average lifelength of 7 years, use a Bayes 0.05 test to test the null hypothesis that the expected life-length is at least 12 years against the alternative hypothesis that it is under 12 years.
The null and alternative hypothesis are respectively equivalent to H0 : u 1>12 0.083 and H1 : u 0.083. From Theorem 11-4, the posterior distribution of u is gamma with parameters 10.2 and 0.013. The posterior probability of the null hypothesis is 0.10. Since this is larger than 0.05, we cannot reject the null hypothesis.
Bayes factor 11.77. In Example 11.4, find the Bayes factor of H0 : l
BF 5P(H0 u x)>[1 P(H0 u x)]6 5P(H0)>[1
1 relative to H1 : l 2 1.
P(H0)]6 (0.49>0.51) ((1>3)>(2>3)) < 1.92
11.78. It is desired to test the null hypothesis u 0.6 against the alternative u 0.6, where u is the probability of success for a Bernoulli trial. Assume that u has a uniform prior distribution on [0, 1] and that in 40 trials there were 24 successes. What is your conclusion if you decide to reject the null hypothesis if BF 1
The posterior density of u is beta with a 25 and b 17. The posterior probability of the null hypothesis is 0.52. Posterior odds ratio is 0.52>0.48 1.0833 and prior odds ratio is 6>4 1.5. BF 0.72. We reject the null hypothesis.
11.79. Prove that the ad hoc rule (see the Remark following Theorem 11-10) to reject H0 if BF lent to the Bayes a test with a P(H0).
BF 13 P(H0 u x) P(H0) ^ P(H1) P(H1 u x) 1 3 P(H0 u x)[1 P(H0)] [1
1 is equiva-
P(H0 ux)]P(H0) 3 P(H0 u x)
P(H0)
11.80. In the preceding problem, find c such that the Bayes factor criterion to reject the null hypothesis if BF is equivalent to the Bayes 0.05 rule.
By Theorem 11-10, c a[1 P(H0)] (1 a)P(H0) (0.05)(1 0.6) < 0.035. (1 0.05)(0.6)
11.81. Work Problem 11.71 using the decision to reject the null hypothesis if the Bayes factor is less than 1. We know from Problem 11.79 that the rule to reject H0 if BF 1 is equivalent to rejecting the null hypothesis if P(H0 ux) P(H0). We know from Problem 11.71 that P(H0 ux) 0.88. From Example 11.18,
Copyright © OnBarcode.com . All rights reserved.