Analysis Premilinary Exam September 2009 1. Let X be a non
... 3. A function f : R → R is called Lipschitz if there exists a constant C > 0 such that, for every x, y ∈ R, |f (x) − f (y)| ≤ C|x − y|. (a) Prove that every Lipschitz function is absolutely continuous. (b) Give an example of an absolutely continuous function that is not Lipschitz. 4. Let (X, M, µ) b ...
... 3. A function f : R → R is called Lipschitz if there exists a constant C > 0 such that, for every x, y ∈ R, |f (x) − f (y)| ≤ C|x − y|. (a) Prove that every Lipschitz function is absolutely continuous. (b) Give an example of an absolutely continuous function that is not Lipschitz. 4. Let (X, M, µ) b ...
Review Sheet for Midterm I
... vi. Operating Characteristic Curve b. Variance tests i. Table ii. Variance / Standard Deviation Known iii. Variance / Standard Deviation Estimated 5. Assumption Assessment a. Normal Probability Plots b. Normality c. Equal Variance ...
... vi. Operating Characteristic Curve b. Variance tests i. Table ii. Variance / Standard Deviation Known iii. Variance / Standard Deviation Estimated 5. Assumption Assessment a. Normal Probability Plots b. Normality c. Equal Variance ...
test 2 study guide
... 7. Positive z scores always fall to the right of the mean and are in the upper half of the distribution. Negative z scores always fall to the left of the mean and are in the bottom half of the distribution. 8. A z score is simply the number of standard deviations from the mean. 9. When raw scores ar ...
... 7. Positive z scores always fall to the right of the mean and are in the upper half of the distribution. Negative z scores always fall to the left of the mean and are in the bottom half of the distribution. 8. A z score is simply the number of standard deviations from the mean. 9. When raw scores ar ...
The Standard Deviation
... It is sometimes said that “physics is an exact science.” But physics is based on experiment, and experiment on measurement, and measurement is inexact by its very nature. Imperfect (or simply just finite) instruments, necessary approximations, and inevitable background noise make all measured values ...
... It is sometimes said that “physics is an exact science.” But physics is based on experiment, and experiment on measurement, and measurement is inexact by its very nature. Imperfect (or simply just finite) instruments, necessary approximations, and inevitable background noise make all measured values ...
hypothesis testing
... A manufacturer of cereal wants to test the performance of one of its filling machines. The machine is designed to discharge a mean amount of 12 ounces per box, and the manufacturer wants to detect any departure from this setting. This quality control study calls for sampling 100 boxes to determine w ...
... A manufacturer of cereal wants to test the performance of one of its filling machines. The machine is designed to discharge a mean amount of 12 ounces per box, and the manufacturer wants to detect any departure from this setting. This quality control study calls for sampling 100 boxes to determine w ...
Solutions - Kenyon College
... How does the number of study hours change during th~ se;ester? -h:,."t! S"(!rrpf /101 ~~ Which radio stations are the most popular with students? het"--'j,~/4 (or ;:,"e (';fc..,-~) ...
... How does the number of study hours change during th~ se;ester? -h:,."t! S"(!rrpf /101 ~~ Which radio stations are the most popular with students? het"--'j,~/4 (or ;:,"e (';fc..,-~) ...
"Executive Attention" to Measure Cognitive Ability
... The primary purpose of the present research is to investigate the criterion-related validity and adverse impact potential characteristics associated with more recent measures of cognitive ability from the field of cognitive psychology and neuropsychology reflecting a distinct construct called execut ...
... The primary purpose of the present research is to investigate the criterion-related validity and adverse impact potential characteristics associated with more recent measures of cognitive ability from the field of cognitive psychology and neuropsychology reflecting a distinct construct called execut ...
Introduction to Statistics and Quantitative Research
... • The odds ratio we found from our sample (E.g. Smokers are 2.3 times more likely to develop cancer than non-smokers) is only true for the sample we are using. • This exact number is only true for the sample we have examined; it might be slightly different if we used another sample. • For this reaso ...
... • The odds ratio we found from our sample (E.g. Smokers are 2.3 times more likely to develop cancer than non-smokers) is only true for the sample we are using. • This exact number is only true for the sample we have examined; it might be slightly different if we used another sample. • For this reaso ...
Chapter 1: The Role of Statistics
... 5. In a very large school district student records have been kept in three distinct data bases, one each for elementary, middle, and high school. Because of this, data entry errors tend to be compounded as students move through the grades. The district now has a new data base and wishes to fix the o ...
... 5. In a very large school district student records have been kept in three distinct data bases, one each for elementary, middle, and high school. Because of this, data entry errors tend to be compounded as students move through the grades. The district now has a new data base and wishes to fix the o ...
Nonparametric Statistics
... group. If n1 = n2, then the test statistic, WS, is the smaller of the two sums of ranks. Go to the table (starts on page 689 of the 6th edition of Howell) and obtain the one-tailed (lower tailed) p. For a two-tailed test (nondirectional hypotheses), double the p. If n1 n2, obtain both WS and WS ...
... group. If n1 = n2, then the test statistic, WS, is the smaller of the two sums of ranks. Go to the table (starts on page 689 of the 6th edition of Howell) and obtain the one-tailed (lower tailed) p. For a two-tailed test (nondirectional hypotheses), double the p. If n1 n2, obtain both WS and WS ...