Question

A sample of number of NFL injuries including Concussion, ACL tears, MCL tears and PCL tears from 1999 to 2019 are as follows 1 :

4- Conduct an Analysis of Variance for the four groups concussion, ACL, MCL and PCL. (alpha=1%)

PCL Year 1999 2000 2001 2002 2003 2004 2005 2006 MCL 95 102 125 123 98 130 85 93 78 81 145 137 65 102 96 105 83 75 78 2007 2008 2009 2010 NFL Injuries Concussion ACL 185 85 211 71 192 45 215 93 255 65 246 60 203 58 199 55 205 62 241 48 295 71 200 66 245 55 261 62 229 61 206 49 275 59 243 56 281 54 214 57 224 47 88 92 125 122 108 99 115 131 134 140 160 126 144 101 2011 2012 2013 2014 2015 2016 2017 2018 2019 84 91 77 79 83 80 132 109 87

Answer 1

AL Huch Ho All four Hp : at least groups are equally elective dized from other one of our group Vs let a, be effect of First group (Concussion let it T.) be effect of & and group ('Ach let it T2) Lg be effect of 3rd (MCL let it T3) be effect of <th group (PCL let it Tu) Hence Hoix, =%2 =23 Hi 9; Id; Po, at least one To = Sum of AT Sum of treatment effect of Concussion 4825 Sum of T2= Sum of treatment elect of ACL = 1279 - sum of Tz = sum of treatment effect of MCL 2600 Tc. = Sum of T4 Sum of treatment effect of PCL - 1803 D=2102 n = n4=21 31, : XL 4825 : 2298 X 2. = 60 go X3. = 123.81 X.=85.86 C.C.=G² ŠTi-2 n (105072 84 1314251 CF=1314251 Treatment sun Total sum of square a TSS = {x; _cf TSS = 1693303-CF 379052.4 ISST= sumof squares due to treatment = 6 = 1108601 +77897.19 +321904.8+154800.4 - CF - 349953

Camlin Pope 349953 - 3oogg.uz SSE = TSS-SST=379052.4 SSE = '3099.43 ANOVA Table: Sum of squares Meam sum, Fakati 가 Source of Variation of squares SST = 348953 SST MST= 309.15 Treatment Error 84-4-80 551 = 30099.43 = 116317,7 55C MSEN -376.243 Fral MST MISE 116312.7 376 243 £3,80 Feal = 30g u15 Ftable F38004 =4.0363 Here fral > Etable so we reject Ho treatment gooups are differ So we can conclude that Significantly en