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## APPLICATIONS OF STATISTICS

by: Verdie Hauck PhD

16

0

4

# APPLICATIONS OF STATISTICS STAT 314

Verdie Hauck PhD
Virginia Commonwealth University
GPA 3.55

Staff

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COURSE
PROF.
Staff
TYPE
Class Notes
PAGES
4
WORDS
KARMA
25 ?

## Popular in Statistics

This 4 page Class Notes was uploaded by Verdie Hauck PhD on Wednesday October 28, 2015. The Class Notes belongs to STAT 314 at Virginia Commonwealth University taught by Staff in Fall. Since its upload, it has received 16 views. For similar materials see /class/230673/stat-314-virginia-commonwealth-university in Statistics at Virginia Commonwealth University.

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Date Created: 10/28/15
KruskalWallis Tests in SPSS STAT 314 Three teaching methods were tested on a group of 19 students with homogeneous backgrounds in statistics and comparable aptitudes Each student Was randomly assigned to a method and at the end of a 6rWeek program Was given a standardized exam Because of classroom space and group size the students were not equally allocated to each method The hown in the table below Test for a difference in distributions medians of the test scores for the different teaching methods using the KruskalrWallis test 8 m l E 5 Method 1 94 87 90 74 86 97 Method 2 82 85 79 84 61 72 80 Method 3 89 68 72 76 69 65 1 Enter the time Values into one Variable and the corresponding teaching method number 1 for Method 1 2 for Method 23 for Method 3 mm another Variable See gure below Be sure to code your Variables appropriately 1 1 1 1 1 T 1 139 1 1 2 Select Graphs 9 Boxplot Simple Summariesfor groups of cases with the Variable measured Test Score and the category axis Variable Teaching Method entered see figures below Click it 0 K a nenne sumule anulnt Summarle on Group nttaxe Van I BatmanAXIS gteaehme Method In Data In chanAre SummarlES tnr group n Hlxtnqram case I PP o Summarle uneparatevanahle Label Case by 00 Sequence ROC curve Sene gt 43 Lquot Your resulting sideibyiside boxplots will appear see gure below As long as the boxes have approximately the same shape you may continue with the ANOVA procedure Select Analyze 9 Nonparametric Tests 9 see gure below Select Test Score as the test Variable select Teaching Method as the grouping factor and click Define Ran Enter e minimum Value 1 and the maximum Value 3 Click Continue to close the range definitions and then click OK See the Sfigures below D 121 tnrszvzral lnnEuznnzntSamulz everannneuennemsamul e nz anqz mange m ornuumq Varlahlz Mlnlmum Mmum anczl mm Ran12 D ME lan Jemqu EKruxkaIwalllx H Grnuulnqvarlahlz mum1n a l 02mm Hana Jemqu EKruxkaIwalllx H D ME lan Wilcoxon Paired S ignedRank Test in SPSS STAT 314 Twelve adult males were put on a liquid diet in a weightireducing plan Weights were recorded before and after the diet The data are shown in the table below Use the Wilcoxon SignedrRank Test to ascertain if the plan was successful Use or 005 9 SubJect 1 2 3 4 5 6 7 8 9 10 11 12 Before 186 1 1 1 168 1 2 1 1 0 1 1 188 18 After 188 177 176 169 196 172 165 190 165 180 181 172 Enter the After data Values into see le gure below If you want your differences to be before 7 after39 after Values in the first column and the before Values in the second column rowcase numbers correspond to the subject numbers as in the table aboVe one Variable and the Before data Values into another Variable 39 then you must put the Note that the Descrlntive Statistits Cum are Mean General Linear Mn El TV Data Heduetinn Bll mmiaIm R uns Isample K sm 2 Independent Samples Select Analyze 9 Nonparametric Tests 9 2 Related Samples see right gure above Select Weight After Diet and Weight Before Diet together then click the arrow button to enter them into the Test Pairs List Select Wilcoxon as the Test Type and then click OK See the figure below 79wgmmmm currenuelemnn rexuype Vanahle I IZWIlcnxnn D Slqn I McNemar Vanahle 2 4 5 Your output should look like this NPar Tests WIlCOXOI I Slgned Ranks Test Hunks Sum of Ranks 52 s so 2750 at ease Weth Before Die NEEZINE Ranks rWeigh After Die Positive Ranks Ties Total Weth Before Die lt Weth After Die e Weth Before Die gt Weth After Die c Weth After Die e Weth Before Die Test Summer mied a zse unnegzuvemns e l M t reel You should use the output information in the following manner to answer the question Step 1 Hypotheses e germ MW or He MmeHm 0 He m 0 or Ha New gt Hm Ha We Hm gt Ha Ha gt 0 Note d Before After If there isa weight reduction d gt 0 Significance Level or closest value in Table is 0051 Rejection Region Reject the null hypothesis if ISFlsl a CVI39 e ISFlsl a 38 Reject the null hypothesis if pvalues 005 Test Statistic e Weth Before Die gt Weth After Die S Fls sum of positive ranks sum of negative ranks 38 50 2750 11 pvalue leAsymp Sig 2tailed 0624 0312 If the test were twotailed the pvalue would be Asymp Sig 2tailed eclslon Since 11lt 38 pvalue 0312gt 005 we fail to reject the null hypothesis State conclusion in words At the level or 005 of significance there is not enough evidence to conclude that the plan was successful

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