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## BASIC STAT ANALYSIS

by: Helga Torp Sr.

14

0

12

# BASIC STAT ANALYSIS STA 570

Helga Torp Sr.
UK
GPA 3.87

C. Wood

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COURSE
PROF.
C. Wood
TYPE
Class Notes
PAGES
12
WORDS
KARMA
25 ?

## Popular in Statistics

This 12 page Class Notes was uploaded by Helga Torp Sr. on Friday October 23, 2015. The Class Notes belongs to STA 570 at University of Kentucky taught by C. Wood in Fall. Since its upload, it has received 14 views. For similar materials see /class/228273/sta-570-university-of-kentucky in Statistics at University of Kentucky.

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Date Created: 10/23/15
STA 570 SAMPLE SIZE REQUIRED FOR 1 ESTIMATING THE MEAN AND 2 SPECIFIED POWER LECTURE 10 SAMPLE SIZE DETERMINATION SPECIFYING THE LIMIT ON THE ERROR L SPECIFYING THE LIMIT ON THE ERROR IN X SPECIFY L WITH DESIRED CONFIDENCE L ON THE ERROR IN THE MEAN NEED TO KNOW POPULATION STANDARD DEVIATION WIDTH OF THE CONFIDENCE INTERVAL IS 2L EXAMPLE SAMPLE SIZE DETERMINATION HOW MANY GRADUATE PROGRAMS SHOULD BE SAMPLED IF I WANT TO BE 99 CONFIDENT THAT MY ESTIMATE OF THE AVERAGE NUMBER OF PhD S AWARDED PER PROGRAM IS WITHIN 15 OF THE TRUE MEAN SOLUTION L CONFIDENCE LEVEL POPULATION STD DEV EXAMPLE SAMPLE SIZE SNEDECOR amp COCHRAN pg 53 In a large city in which houses are rented an economist Wishes to estimate the average monthly rent to Within 20 with 95 Con dence If the economist guesses that the population standard deviation is about 60 how many houses must be included in the sample SOLUTION SAMPLE SIZE DETERMINATION EFFECT OF CONFIDENCE LEVEL amp POPULATION STANDARD DEVIATION 95 CONFIDENCE J 1960 L 99 CONFIDENCE J2 2570L I T CONFIDENCE LEVEL Tn II T POPULATION Std DEV T n IIIT LIMIT 0N ERRORL in SAMPLE SIZE CALCULATIONS FOR A SPECIFIED POWER PAIRED SAMPLESBEFORE AND AFTER EXPERIMENTS HOLL0 vs Hazuio 0 WHAT SAMPLE SIZE IS REQUIRED IF WE WANT TO DETECT A SPECIFIED DIFFERENCE IN THE AVERAGE EFFECT OF THE TREATMENTS WITH A SPECIFIED POWER AND LEVEL ie THE MEAN OF THE DIFFERENCES IN THE POPULATION 0 WHAT DO WE NEED TO SPECIFY IN ORDER TO ANSWER THIS QUESTION 1 DIFFERENCE IN THE AVERAGE EFFECTS OF THE TREATMENTS WHICH WE WANT TO BE ABLE TO DETECT 2 LIMIT ON THE PVAULE ie THE LEVEL 3 STANDARD DEVIATION OF THE DIFFERENCES 4 CHANCE OF DETECTING THE DIFFERENCE IN 1 USING A TEST WITH LEVEL GIVEN IN 2 EXAMPLE SAMPLE SIZE SPECIFIED POWER 0 THE EFFECT OF DURATION OF STORGE ON DENTIN PERMEABILITY IS TO BE INVESTIGATED IMMEDIATELY AFTER EXTRACTION TEETH ARE STORED IN SALINE AND PREMEABILITY MEASURMENTS ARE TO BE MADE AT EIGHT DAYS AND AGAIN AT SIX MONTHS HOW MANY TEETH SHOULD BE STUDIED IF A DIFFERENCE OF 05 MlMIN IS TO BE DETECTED WITH 80 POWER WITH AND 005 TEST GOODIS AND MARSHALL 1993 DENT MATER 97984 FOUND THAT THE STANDARD DEVIATION OF THE DIFFERENCES WAS APPROXHVIATELY 15 SOLUTION 1 6 2 05 3 c7 4POWERO80 I FIND REJECTION REGIOININTERMS OF X II FIND START OF REJECTION REGION UNDER Ha III EQUATE TWO EQUATIONS AND FIND n SAMPLE SIZE CALCULATIONS SPECIFIED POWER III EXAMPLE SAMPLE SIZE PERMEAMILITY Cont WHAT SIZE SAMPLE IS REQUIRED IF WE CHANGE THE POWER REQUIRED TO 90 I III EXAMPLE 77 ZAR ESTIMATION OF REQUIRED SAMPLE SIZE FOR SPECIFIED POWER REQUIRED n SMALL RATS ARE TO BE SUBJECTED TO A REGIMEN OF FORCED EXERCISE AND THE CHANGE IN WEIGHT IS TO BE RECORDED WE WANT TO TEST THE NULL HYPOTHESTHATTHEAVERAGECHANGEHQTHE POPULATIO IS ZERO HOW MANY RATS ARE NEEDED IF A CHANGE IN MEAN OF 10 g IS TO BE DECTECTED WITH 90 POWER AND 005 IN A PREVIOUS EXPERIMENT THE SAMPLE VARIANCE WAS 15682 g2 STEP 1 STEP 2 EXAMPLE 77 ZAR ESTIMATION OF REQUIRED SAMPLE SIZE FOR SPECIFIED POWER REUQIRED n SMALL REPEAT STEP 1 AND STEP 2 WITH t DISTRIBUTION nl df STEPh STEP2 EXAMPLE 77 ZAR ESTIMATION OF REQUIRED SAMPLE SIZE FOR SPECIFIED POWER REQURED n SMALL REPEAT STEP 1 AND STEP 2 WITH t DISTRIBUTION nl df STEP 1 STEP 2

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