Introduction to mathematical statistics |
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Page 256
Among other things, this means that, if 9 = 75, the probability of rejecting the
hypothesis H0: 9 < 75 is \. That is, if 9 = 75 so that H0 is true, the probability of
rejecting this true hypothesis H0 is Many statisticians and research workers find it
very ...
Among other things, this means that, if 9 = 75, the probability of rejecting the
hypothesis H0: 9 < 75 is \. That is, if 9 = 75 so that H0 is true, the probability of
rejecting this true hypothesis H0 is Many statisticians and research workers find it
very ...
Page 260
The rejection of the hypothesis H0 when that hypothesis is true is, of course, an
incorrect decision or an error. This incorrect decision is often called a Type-I error
; accordingly, the significance level of the test is the probability of committing an ...
The rejection of the hypothesis H0 when that hypothesis is true is, of course, an
incorrect decision or an error. This incorrect decision is often called a Type-I error
; accordingly, the significance level of the test is the probability of committing an ...
Page 378
CHAPTER 11 11.1 t = 3 > 2.262, reject H0. 11.2 \t\ = 2.27 > 2.145, reject H0.
11.13 No. 11.14 q3 = x2\& > 7.81, reject H0. CHAPTER 12 12.5 F = 7.6 > 3.89,
reject H0. 12.8 r + 8, 2r + 49. 12.9 r2(d + r1)/[ri(r2 - 2)], r2 > 2. CHAPTER 13 13.3 (
a) ...
CHAPTER 11 11.1 t = 3 > 2.262, reject H0. 11.2 \t\ = 2.27 > 2.145, reject H0.
11.13 No. 11.14 q3 = x2\& > 7.81, reject H0. CHAPTER 12 12.5 F = 7.6 > 3.89,
reject H0. 12.8 r + 8, 2r + 49. 12.9 r2(d + r1)/[ri(r2 - 2)], r2 > 2. CHAPTER 13 13.3 (
a) ...
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Common terms and phrases
Accordingly best critical region binomial distribution cent confidence interval Chapter chi-square distribution complete sufficient statistic conditional p.d.f. confidence interval Consider continuous type converges stochastically critical region decision function defined degrees of freedom denote a random discrete type distribution having p.d.f. Equation Example EXERCISES F distribution function of Y1 given H0 is true independent random variables inequality integral joint p.d.f. Let the random Let X1 limiting distribution marginal p.d.f. matrix maximum likelihood moment-generating function mutually stochastically independent noncentral order statistics Poisson distribution positive integer power function Pr X1 probability density functions probability set function quadratic form random experiment random interval random sample random variables X1 reject H0 respectively sample space Show significance level simple hypothesis H0 statistic for 9 statistic Y1 stochastically independent random subset testing H0 theorem type of random unbiased statistic variance a2 X1 and X2 Xn denote zero elsewhere
Bibliographic information
| Title | Introduction to mathematical statistics Series of advanced mathematics texts Allendoerfer advanced series |
| Authors | Robert V. Hogg, Allen Thornton Craig |
| Edition | 2 |
| Publisher | Macmillan, 1965 |
| Original from | the University of Michigan |
| Digitized | 9 Oct 2007 |
| Length | 383 pages |
| Subjects | Mathematical statistics |
| Export Citation | BiBTeX EndNote RefMan |