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Assessing Normality Are my data normally distributed? Evidence for Normality Mean and median should not be too different. Histogram or stem-and-leaf plot should look symmetric. Box plot should look symmetric. <a href="/keyword/normal-probability-plot/" >normal probability plot</a> should roughly be a straight line. Evidence against Normality Mean and median are wildly...
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Penn State - STAT - 2
ProbabilityToolbox of Probability RulesEvent An event is the result of an observation or experiment, or the description of some potential outcome. Denoted by uppercase letters: A, B, C, .Examples: Events A = Event President Clinton is impeach
Penn State - STAT - 250
ProbabilityToolbox of Probability RulesEvent An event is the result of an observation or experiment, or the description of some potential outcome. Denoted by uppercase letters: A, B, C, .Examples: Events A = Event President Clinton is impeach
Penn State - STAT - 250
Normal distributionand introduction to continuous random variables and continuous probability density functions.Continuous random variable A continuous random variable is a random variable that takes on any value in an interval of numbers. Examp
Penn State - STAT - 250
STAT 250 Section 001 Quiz #4 Spring 1998Name _ Student ID _Stanford-Binet IQ scores are known to follow a normal distribution with mean 100 and standard deviation 16. Recall Z = (X )/) and X= + Z). 1. (2 points) What is the probability that a ra
Penn State - STAT - 250
STAT 250 Section 001 Midterm Exam #3 Form B Spring 1998Printed Name_ Signature_ Student ID_* INSTRUCTIONS * 1. Including this cover page, this exam paper contains 9 pages. Count the number of pages before the exam begins. If you do not have 9 pag
Penn State - STAT - 250
Normal Distribution (Part I) The normal distribution is a rather special continuous density function that is observed frequently in the natural world. Examples of continuous random variables that likely follow a normal distribution include: X = chol
Penn State - STAT - 250
What are data? DATA are a set of numbers or other pieces of information to which meaning has been attached. For example, the set of numbers 2, 0, 3, 2, 4 does not mean anything to us, until we are told what they mean. They might represent the number
Penn State - STAT - 250
Solutions to Statistical Methods in the Biological and Health Sciences, by J. Susan Milton Exercises 9.3 2. Analyzing the data in Minitab, the Two-sample T-test output is as follows: Two Sample T-Test and Confidence IntervalTwo sample T for Dinopis
Penn State - STAT - 250
Solutions to Statistical Methods in the Biological and Health Sciences, by J. Susan Milton Exercises 5.1 1a. Area = (base)(height) = (0.3)(height) = 1. Therefore, height must be 20/3. 1b. See figure 5.4b. 1c. P(X0.1) 1d. P(0.1X0.2) 1e. E[X] = 0.22a
Penn State - STAT - 200
Stat 200 Quiz 3 KEYFORM AQuestions 1 - 2. A regression is done to relate weight to height The equation is Average Weight = -200 + 5 Height . 1. Two people differ in height by 5 inches. Whats the estimated difference in weights? A. 5 B. 25 C. 175
Penn State - STAT - 200
Basics 18.4 The Normal CurveThe essential terms: density scale normal curve standard normal curve standardized score (z-score)The normal curve is the familiar symmetric, bell shaped curve that's often used to approximate the distribution of meas
Penn State - STAT - 126
Penn State - STAT - 414
Penn State - STAT - 126
What is the Monty Hall Problem1 2 3What is the Monty Hall Problem1 2 3QuestionNow offer you another chance to choose again. Will you stick your original choice or switch to the other remaining closed door?1 2 3? Or?Solution 1It seems t
Penn State - STAT - 414
What is the Monty Hall Problem1 2 3What is the Monty Hall Problem1 2 3QuestionNow offer you another chance to choose again. Will you stick your original choice or switch to the other remaining closed door?1 2 3? Or?Solution 1It seems t
Penn State - STAT - 414
Stat/Math 414.1: Introduction to Probability Theory Spring, 2008Instructor: Bo Kai 316 Thomas Building buk126@stat.psu.edu Armine Bagyan 316 Thomas Building aub171@psu.edu Office Hours: M 10:00-11:00am, R 03:00-04:00pm, or by appointment Office Hour
Penn State - STAT - 126
Quiz 1 with SolutionProblem 1. 6 people are to be seated in a row of 6 seats. 1. What is the probability that Mary and Jim will sit next to each other? 2. What is the probability that Mary and Jim will sit next to each other, and Diana and Steven wi
Penn State - STAT - 414
Quiz 1 with SolutionProblem 1. 6 people are to be seated in a row of 6 seats. 1. What is the probability that Mary and Jim will sit next to each other? 2. What is the probability that Mary and Jim will sit next to each other, and Diana and Steven wi
Penn State - STAT - 126
Homework 10Due Friday, April 4 in classLecture 26 (Monday, March 31) Do exercises 4.47, 4.57, 4.59 and 4.61.Lecture 27 (Wednesday, April 2) Do exercises 4.69, 4.76, 4.79 and 4.86.That's all for homework 10.1
Penn State - STAT - 414
Homework 10Due Friday, April 4 in classLecture 26 (Monday, March 31) Do exercises 4.47, 4.57, 4.59 and 4.61.Lecture 27 (Wednesday, April 2) Do exercises 4.69, 4.76, 4.79 and 4.86.That's all for homework 10.1
Penn State - STAT - 126
Penn State - STAT - 414
Penn State - STAT - 414
Practice Problems for Midterm 1Answers are included! If any answer happens to be wrong, please let me know. 1. A laboratory blood test is 95 percent eective in detecting a certain disease when it is, in fact, present. However, the test also yields a
Penn State - STAT - 126
Homework 1Due Friday, Jan. 25 in classLecture 1 (Monday, Jan. 14) Read sections 1.1 and 1.2.Lecture 2 (Wednesday, Jan. 16) Do exercises 1.3 and 1.6 in the textbook.Lecture 3 (Friday, Jan. 18) Read sections 2.1 and 2.2. Do exercises 1.9 and 1.2
Penn State - STAT - 414
Homework 1Due Friday, Jan. 25 in classLecture 1 (Monday, Jan. 14) Read sections 1.1 and 1.2.Lecture 2 (Wednesday, Jan. 16) Do exercises 1.3 and 1.6 in the textbook.Lecture 3 (Friday, Jan. 18) Read sections 2.1 and 2.2. Do exercises 1.9 and 1.2
Penn State - STAT - 126
Penn State - STAT - 414
Penn State - STAT - 126
DEPARTMENT OF STATISTICS, Penn State University Statistics/Mathematics 414.2 (Fall 2007)Practice Final Problems1. Let X1 and X2 have the joint probability density function f (x1 , x2 ) = c for 0 < x1 < 2x2 < 1, and zero elsewhere. a. Find c such t
Penn State - STAT - 126
Penn State - STAT - 414
Penn State - STAT - 126
Stat/Math 414.1 Spring 2008 Midterm 1 February 15, 2008Your Name: ID Number:1) Please turn off your cell phone! 2) Please show all work for full credit. Partial credit will be given if your solution is correct but the answer is wrong. 3) Please do
Penn State - STAT - 414
Stat/Math 414.1 Spring 2008 Midterm 1 February 15, 2008Your Name: ID Number:1) Please turn off your cell phone! 2) Please show all work for full credit. Partial credit will be given if your solution is correct but the answer is wrong. 3) Please do
Penn State - STAT - 100
Lecture 25This lecture will finish topics from Chapter 13. 1. Review chisquare test for a 22 table(Section 13.3)Please turn off cell phones, pagers, etc. The lecture will begin shortly.2. P-values (Section 13.3) 3. Statistical versus practical
Penn State - STAT - 544
December 2, 1999 Estimating Equations with Sandwich Variance Estimate The sandwich variance estimate was apparently first proposed by Huber (1967). Liang and Zeger (1986, Biometrika) and Zeger and Liang (1986, Biometrics) discuss it in the context of
Penn State - STAT - 544
Stat 544, Lecture 201'$More on Polytomous Regression ModelsLast time, we fit a model to the now-famous alligator food-choice dataset.Primary Food Choice Lake Hancock Sex M F Size small large small large Fish 7 4 16 3 Inv. 1 0 3 0 Rept. 0 0
Penn State - STAT - 100
Lecture 8This lecture will finish material on randomized experiments from Sections 5.1-5.3Please turn off cell phones, pagers, etc. The lecture will begin shortly.1. Types of randomization (review Section 5.2) 2. Difficulties and disasters (Secti
Penn State - STAT - 544
Stat 544, Lecture 171'$The Negative Binomial ModelToday we will discuss the negative binomial model for count data. But first, we will finish our discussion of loglinear coefficients. Interpreting loglinear coefficients. Suppose that y = (y
Penn State - STAT - 544
Stat 544, Lecture 111'$Overdispersion and DiagnosticsLogistic regression and three-way tables. This table, which we saw in Lecture 7, classies n = 800 boys according to socioeconomic status (S), whether a boy scout (B), and juvenile delinqu
Penn State - STAT - 250
Solutions to Assignment 4 Stat 250H, Spring 19994.2.4 a Assuming that the only possible values for X are 6, 7, 8, 9, and 10, F 10 = 1 , :05 + :1 + :6 + :15 = 0:1: b P X 8 = f 6 + f 7 + f 8 = :75. This is the proportion of moths who beat their wings
Penn State - STAT - 100
Top things you need to know from Chapter 18 Companies and large organizations typically make decisions on the basis of expected value; individuals do not (see Lecture 29) Top things you need to know from Chapter 19 (see Lectures 30-31) Meaning of s
Penn State - STAT - 100
Solutions to exercises based on Lecture 5 From Chapter 4, pp. 76-79 15. a. The formula says100 1 756 = 3.6%which was apparently rounded off to 4. b. in book. 20. The main difficulty is that this will be a volunteer sample. Those who return the s
Penn State - STAT - 100
Solutions to exercises from Chapter 12 1, 2, 3, 4, 5, 9 (a)-(b), 11, 13 (a)-(b), 16 1. In order to construct a 22 table, you need to know how many subjects there were in each of the four combinations: men who are Democrats men who are Republicans
Penn State - STAT - 100
Solutions to exercises based on Lectures 15-17 From Chapter 10, pp. 195-198 2, 4, 7, 10, 11 (a)-(c), 12, 13, 14 2. If the husbands and wives heights were measured in inches rather than millimeters, the correlation coefficient would not change. Changi
Penn State - STAT - 100
Exercises based on Lecture 3 1. Forty elementary schools are chosen to participate in a study to compare the effectiveness of two different fifth-grade mathematics curricula. Twenty schools were randomly selected to use curriculum A; the remaining sc
Penn State - STAT - 100
Solutions to the sample exam problems from Lecture 19 1. A. The right-hand side of this distribution is more stretched out than the left-hand side, so the distribution is right-skewed. True. B. In a sample of 1,000 observations, the median is halfway
Penn State - STAT - 100
Exercises based on Lecture 6 1. (This one is actually based on Lecture 5.) In the 2004 presidential election, John Kerry won the state of Wisconsin by only 11,813 votesa mere 0.4% of the total votes cast. a. Suppose you were going to conduct a pre-el
Penn State - STAT - 100
Solutions to additional exercises from Chapter 16 22, 25 22. a. Your probability of losing $3 (i.e. the probability of three girls) is .49 .49 .49 = 0.118. Your probability of winning $3 (i.e. the probability of three boys) is .51 .51 .51 = 0.133
Penn State - STAT - 100
Solutions to exercises from Chapter 20 1, 2 (a), 3, 4, 6, 8, 13 1. a. 65 / 374 = .174 = 17.4% b. The estimated standard deviation is sqrt( .174 (1 .174) / 374 ) = .020 = 2.0% c. The 95% confidence interval goes from .174 (2 .020) = .134 = 13.4% t
Penn State - STAT - 100
Exercises based on Lecture 1 1. A number of firms including Kaplan and Princeton Review provide courses to help students prepare forand hopefully improve their scores onstandardized tests like the SAT and GRE. Suppose that one of these firms advertis
Penn State - STAT - 597
## S-PLUS homework assignment# Due: Thursday, September 21, 2000# Please bring typed or neatly handwritten answers to class# on 9/21. Do not email them to me unless you absolutely must# (e.g. if you are ill and cannot come to class).
Penn State - STAT - 597
## S-PLUS homework assignment# Due: Thursday, October 5, 2000# Please bring hardcopy of your answers to class and turn them# in on 10/5. Do not email them to me unless you absolutely must# (e.g. if you are ill and cannot come to class)
Penn State - STAT - 250
Stat 250 - Preparation for Quiz 3 What you need to know from Chapter 6 Sampling distribution of the sample mean x: If we take a random sample from a population with mean and standard deviation , then the sample mean x has expectation , has sta
Penn State - STAT - 250
Stat 250 - Preparation for Quiz 2 What you need to know from Chapter 4 Know how to tell whether a random variable is discrete or continuous. Given a discrete random variable X with discrete density function f (x), know how to find: the probabiliti
Penn State - STAT - 544
Stat 544, Lecture 221'$Quasilikelihood and GEEQuasilikelihood. Suppose that we observe responses y1 , y2 , . . . , yN which we want to relate to covariates. The ordinary linear regression model is yi N (xT , 2 ), i where xi is a vector of
Penn State - DOCS - 1
Dr. Joan T. Richtsmeier Abdominal Cavity 8 November 1999 Page 1 INTRODUCTION TO THE ABDOMINAL CAVITY AND VISCERA Study Objectives: 1. Understand how organs, vessels, and autonomic innervation relate to the embryonic foregut, midgut, and hindgut organ
Penn State - JUNE - 24
Expires:No;087669FZNT01 KWBC 260948HSFAT1CCODE/1:31:04:01:00/AOW/NWS/CCODE HIGH SEAS FORECAST FOR METAREA IV NATIONAL WEATHER SERVICE WASHINGTON DC/TPC MIAMI FL OCEAN PREDICTION CENTER/OFB 1030 UTC JUN 26 2005 SUPERSEDED BY NEXT ISSUANCE IN 6
Penn State - SEZ - 113
Stephanie E. ZickPresent Address 1006 S. Pugh St #311 State College, PA 16801 Cell #: (412) 310-3205sez113@psu.eduPermanent Address 2394A Bellwood Dr Pittsburgh, PA 15237 (412) 366-9526OBJECTIVETo secure a position that involves forecasting,
Penn State - METEO - 182
C/=/C/ Example8.f90 /C/=/C/ A fortran code on how to use pointers. Pointers allow you to / C/ allow you to allocate and deallocate within a subroutine and not in /C/ the main code.
Penn State - METEO - 473
C/=/C/ Example8.f90 /C/=/C/ A fortran code on how to use pointers. Pointers allow you to / C/ allow you to allocate and deallocate within a subroutine and not in /C/ the main code.
Penn State - JUN - 28
American Meteorological Society, 45 Beacon Street, Boston, MA 02108-3693 Department of Meteorology College of Earth and Mineral Sciences The Pennsylvania State University 503 Walker Building University Park PA 16802-5013 FAX: 814.865.3663 July 1, 200
Penn State - JUN - 28
American Meteorological Society, 45 Beacon Street, Boston, MA 02108-3693 Department of Meteorology College of Earth and Mineral Sciences The Pennsylvania State University 503 Walker Building University Park PA 16802-5013 FAX: 814.865.3663 July 1, 200