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Cornell - BTRY - 3010
Biological Statistics IBRTY 3010 / NTRES 3130 /STSCI 2200Fall 4 credits Lecture: T and Th 10:10 - 11:25 Bradfield 101 Labs: M 12:20-1:10, 1:25-2:15, 2:30-3:20, 3:35-4:25 W 2:30-3:20, 3:35-4:25 Mann 30BInstructor:Dr. Patrick J. Sullivan 214 Fernow 255-
Cornell - BTRY - 3010
Visualizing DataDevore-Berk Chp 1Visualizing Quantitative Data, Tufte E. R., Graphics Press, 2001 Graphical Methods for Data Analysis, Chambers J., Cleveland, B. Kleiner, and P. Tukey, Duxbury Press, Boston, 1983 Exploratory Data Analysis, Tukey J., Add
Cornell - BTRY - 3010
Probability and Statistics ProbabilityDevore and Berk Chapter 2 Devore BerkWhat is the chance of an event happening? Winning the toss of a coin? Getting 4 aces in 5 card poker hand? Having blue eyes if one parent has blue and the other brown? Surviving
Cornell - BTRY - 3010
Discrete Probability DistributionsDevore and Berk Chapter 3What is a random variable?Used to help characterize the probability of events Defined as a function that maps sample space to real numbersAnd we can do mathematics on real numbers!Can be disc
Cornell - BTRY - 3010
The Normal DistributionAlso Known As The Gaussian Distribution D&B 4.1,4.3,4.6*But first a recap:Observation Analysis Understanding Judgment Action100 people each flipping 100 coinsObservation Analysis Understanding Judgment Action0 35102030404
Cornell - BTRY - 3010
Computational StatisticsReview of Splus/R Commands Consider Looking at Online ManualsGUIGraphical User Interface GUICommand Line CommandsElementary CommandsArithmetic Operators2+3 5 2-3 -1 2*3 6 2/3 0.6666667 2^3 8 2*3 8 2+3*4^2 502+3=5 2 3 = 1 23
Cornell - BTRY - 3010
Pdf / Cdf Review Discrete and Continuous DistributionsA brief reviewBinomial Distribution0.10n x P( X = x | n, p ) = p (1 p) n x x 0.00.20012345678910n x P ( X k | n, p ) = p (1 p ) n x x x =0 k0.00.20.40.60.81.0012345678
Cornell - BTRY - 3010
Hypothesis TestingD&B 9.1, 9.2, 9.3, and 9.4 Distribution of the Mean Confidence IntervalsMotivationWe wish to use the mean to help characterize the nature of a process Example: The average time of arrival (hours after midnight) at the intensive care u
Cornell - BTRY - 3010
Statistical InferenceMore discussion on material covered in D&B Chapters 8 and 9Weights of BearsThe health of the bear population in Yellowstone National Park is monitored by periodic measurements taken from anesthetized bears. A sample of 54 bears has
Cornell - BTRY - 3010
Variation in the MeanConfidence Intervals BootstrapLeaf Length30 0 20 10 204060 leaves80100The Mean (Average Leaf Length)Population1 = NSampleXi =1Ni1 x = xi n i =1nVariancePopulation1 = N2 x 2 x (XN i =1 niX)2Sample1 2 s= (xi
Cornell - BTRY - 3010
Two-Sample Hypothesis Equal and Unequal Variances (D&B Chp. 10)Difference Between Two Means Data: trout1.txt, trout2.txt & lead.washington.txt EqualScript: Lec12.TwoSampEqV.ssc UnEqualScript: Lec12.TwoSampUnEqV.sscBrown Trout (Salmo trutta)Trout Length
Cornell - BTRY - 3010
Linear RegressionApplication to Pacific Halibut Lec13.Regression1.ssc D&B Chp 12, Sections 1,2,3,4 & 6 Skip logistic discussionPacific halibut (Hippoglosus stenolepis)Largest of the flatfish Up to 2.5m in length Up to 500 lbs in wt Fishery landings of
Cornell - BTRY - 3010
Regression EstimationLec14.Regression2.ssc alligator.txtAlligator Weight vs. Length500 alligator$Weight 100 200 300 400 6006080100 alligator$Length120140Alligator Datat(alligator) 12 345 6 7 8 9 10 11 12 Length 94 74 147 58 86 94 63 86 69 72 128
Cornell - BTRY - 3010
Prelim 2 ReviewD&B Chapters 8, 9, 10, and 12How are populations characterized?MeanCentral tendencyVarianceSpreadStandard deviationSpread (in units of the mean)Standard errorVariation of the meanHow might we see if a population is different from
Cornell - BTRY - 3010
Categorical Data Devore and Berk Chp. 13Population Proportion Chi-Square Goodness of Fit Contingency TablesSingle Slide ReviewAre populations the same or different? Check means Check variances Analyze mean squared error under different models for means
Cornell - BTRY - 3010
How to Lie with Statistics Darrell Huff (1954) "Over the last fifty years, How to Lie with Statistics has sold more copies than any other statistical text." J.M. Steele. "Darrell Huff and Fifty Years of How to Lie with Statistics. Statistical Science, 20
Cornell - BTRY - 3010
Multisample Hypotheses Analysis of VarianceSources of Variation Multiple Comparisons D&B Chapter 11MotivationThus far weve examined measuring differences between one sample and another Examples:ExperimentalTreatment and ControlObservationalAlternat
Cornell - BTRY - 3010
Statistical Information Statistical Analysis of Variance II Checking ANOVA Checking Assumptions AssumptionsMethods for Communicating Statistical Information Statistical Confidence Intervals How confident are we in the estimates we have? Hypothesis Tes
Punjab Engineering College - 12233 - 2322344
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 1, Aug 19 at 2:58 pm This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 21.1-21.4 Electr
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 2, Aug 22 at 6:17 pm This print-out should have 15 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 21.5-21.7 Charg
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 3, Aug 30 at 4:06 pm This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 22.1-22.4 Flux
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 4, Aug 31 at 7:09 pm This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 22.4-22.5,23.1
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 5, Aug 31 at 7:28 pm This print-out should have 6 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 23.2-23.5 Two In
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 6, Aug 31 at 7:42 pm This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 24.1-24.4 Trans
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 7, Aug 31 at 7:51 pm This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 25.1-25.5 Curren
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 8, Aug 31 at 10:03 pm This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 26.1-26.2 Inte
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 9, Aug 31 at 10:10 pm This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 26.3-26.4 Paral
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 10, Aug 31 at 10:24 pm This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 27.1-27.8 Cha
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 11, Sep 01 at 10:19 am This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 28.1-28.5 Biot
University of Texas - PHY - 303L
Sample (new version) Betancourt (mb6366) HW12 Betancourt (35561) 10. B (r1 ) = 0 i (a2 b2 ) 2 2 r1 ( r1 b 2 )1This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. Co
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 13, Sep 01 at 11:29 am This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 29.1-29.3 Ind
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 14, Sep 01 at 1:30 pm (50 A) sin (200 rad/s) t + This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 15, Sep 01 at 1:36 pm This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 30.1-30.6 Air
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 16, Sep 01 at 1:55 pm This print-out should have 13 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 31.1-31.6 Chan
University of Texas - PHY - 303L
Betancourt (mb6366) HW17 Betancourt (35561) This print-out should have 9 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. Covers 32.1-32.6 001 14.0 points In a particular medium the speed of lig
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 18, Sep 01 at 2:04 pm This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 33.1-33.6 Batm
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 19, Sep 01 at 2:14 pm This print-out should have 21 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 34.1-34.4 Conc
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 20, Sep 01 at 2:30 pm This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 34.5-34.8 Conv
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 21, Sep 01 at 2:48 pm This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 17.1-17.6 Alumi
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 22, Sep 01 at 2:55 pm This print-out should have 7 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 17.6-17.7 Vap o
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 23, Sep 01 at 3:00 pm This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 18.1-18.5 Air
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 24, Sep 01 at 3:08 pm This print-out should have 12 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 19.1-19.8 Isot
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 25, Sep 01 at 3:12 pm This print-out should have 14 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 20.1-20.2 Mole
University of Texas - PHY - 303L
SampleCreate assignment, 57112, Homework 26, Sep 01 at 3:16 pm This print-out should have 8 questions. Multiple-choice questions may continue on the next column or page nd all choices before answering. The due time is Central time. Covers 20.3-20.7 Temp
University of Texas - PHY - 303L
IUPUI PHYS 251 LABPage 1 of 3Calculus Workshop 1This is the first of a series of three labs exploring the important concept of charge density and its application to computing electric fields due to uniform charge distributions using the calculus of int
University of Texas - PHY - 303L
IUPUI PHYS 251 LABPage 1 of 2ELECTRIC POWEROBJECTIVE To understand electric power distribution in simple series-parallel circuits EQUIPMENT battery eliminator, 5 identical miniature light bulbs (with mounts), patch cords, connectors (alligator or fork
University of Texas - PHY - 303L
IUPUI PHYS 251 LABPage 1 of 2KIRCHHOFFS LAWSOBJECTIVE To calculate the currents in a multiloop circuit using Ohms Law and comparing the results to those calculated with Kirchhoffs Current and Voltage Laws EQUIPMENT 3 battery packs, circuit board, 2 whi
University of Texas - PHY - 303L
IUPUI PHYS 251 LABPage 1 of 4AMMETERS AND VOLTMETERSOBJECTIVEElectrical devices that measure current and potential difference are called ammeters and voltmeters, respectively. Often these devices are packed in a single multimeter which you have alread
University of Texas - PHY - 303L
Physics 251 Laboratory Magnetic FieldsPre-Lab: Please do the pre-lab exercise on the web.IntroductionBy now, you have studied methods for calculating the magnetic field due to current traveling in a wire. In particular, the Biot-Savart law isr 0 B= 4
University of Texas - PHY - 303L
Physics 251 Laboratory Oscilloscopes, Signal Generators and Periodic SignalsIntroduction:An oscilloscope (often just called a scope) is an instrument that will plot a voltage versus time graph. The horizontal axis of the scope is time and the vertical a