Table Analyzed Data Caput-Cauda Data sets analyzed A-D ANOVA summary F 216,7 P value <0,0001 P value summary **** Significant diff. among means (P < 0.05)? Yes R square 0,1779 Brown-Forsythe test F (DFn, DFd) 86,53 (3, 3004) P value <0,0001 P value summary **** Are SDs significantly different (P < 0.05)? Yes Bartlett's test Bartlett's statistic (corrected) 353,7 P value <0,0001 P value summary **** Are SDs significantly different (P < 0.05)? Yes ANOVA table SS DF MS F (DFn, DFd) P value Treatment (between columns) 525599 3 175200 F (3, 3004) = 216,7 P<0,0001 Residual (within columns) 2429163 3004 808,6 Total 2954762 3007 Normality of Residuals Test name Statistics P value Passed normality test (alpha=0,05)? P value summary Anderson-Darling (A2*) 26,10 <0,0001 No **** D'Agostino-Pearson omnibus (K2) 478,1 <0,0001 No **** Shapiro-Wilk (W) 0,9590 <0,0001 No **** Kolmogorov-Smirnov (distance) 0,06693 <0,0001 No **** Data summary Number of treatments (columns) 4 Number of values (total) 3008 Number of families 1 Number of comparisons per family 6 Alpha 0,05 Tukey's multiple comparisons test Mean Diff, 95,00% CI of diff, Significant? Summary Adjusted P Value Cauda vs. Cauda 8,683 5,164 to 12,20 Yes **** <0,0001 A-B Cauda vs. Caput -22,44 -26,17 to -18,71 Yes **** <0,0001 A-C Cauda vs. Caput -21,01 -24,83 to -17,19 Yes **** <0,0001 A-D Cauda vs. Caput -31,12 -34,94 to -27,31 Yes **** <0,0001 B-C Cauda vs. Caput -29,69 -33,59 to -25,79 Yes **** <0,0001 B-D Caput vs. Caput 1,434 -2,658 to 5,527 No ns 0,8044 C-D Test details Mean 1 Mean 2 Mean Diff, SE of diff, n1 n2 q DF Cauda vs. Cauda 81,31 72,62 8,683 1,369 907 823 8,970 3004 Cauda vs. Caput 81,31 103,7 -22,44 1,452 907 664 21,85 3004 Cauda vs. Caput 81,31 102,3 -21,01 1,486 907 614 19,99 3004 Cauda vs. Caput 72,62 103,7 -31,12 1,483 823 664 29,67 3004 Cauda vs. Caput 72,62 102,3 -29,69 1,516 823 614 27,69 3004 Caput vs. Caput 103,7 102,3 1,434 1,592 664 614 1,274 3004 Cauda Cauda Caput Caput 39,368 71,487 113,745 119,24 53,959 56,186 75,088 148,518 56,328 93,279 64,334 177,463 62,486 100,243 57,986 105,265 108,866 134,495 60,497 13,454 59,976 60,686 56,517 153,35 106,971 73,193 112,229 124,073 78,262 53,391 67,792 118,814 79,304 58,649 62,771 204,561 80,252 62,96 55,333 55,428 73,288 114,693 57,607 43,205 77,836 91,432 59,644 56,328 79,636 106,544 84,61 50,501 86,979 70,682 87,595 62,628 74,851 79,541 78,12 44,342 77,836 82,194 94,274 50,453 73,572 103,181 119,809 49,79 88,447 86,552 96,454 42,826 75,988 85,036 97,733 190,349 65,139 51,638 159,129 155,339 78,878 100,622 102,281 150,46 60,023 61,586 115,261 212,567 64,097 89,3 116,635 206,788 64,239 86,031 117,535 147,096 39,936 72,482 183,006 114,598 96,833 95,553 139,138 110,334 62,581 46,048 118,672 106,023 77,314 63,671 182,58 130,042 101,617 96,501 179,311 104,223 69,213 69,971 114,219 99,959 75,277 74,993 101,759 144,775 63,671 136,579 114,929 97,212 66,94 56,186 93,848 114,55 76,509 70,019 145,912 119,951 109,86 81,72 99,485 102,186 74,188 52,585 132,884 107,113 78,973 104,176 250,656 98,585 62,865 66,039 78,688 91,1 66,608 60,876 89,774 74,093 81,768 71,014 77,693 106,828 71,914 81,436 51,496 134,637 88,116 63,955 94,511 88,495 101,475 68,266 168,178 128,81 78,357 89,111 148,849 103,323 92,143 48,322 77,646 65,755 62,486 78,594 103,512 108,439 95,222 77,788 118,009 77,125 83,71 62,771 59,502 72,245 62,013 91,479 60,876 98,822 131,7 110,145 96,406 80,346 59,454 107,492 92,853 127,768 76,035 85,889 79,541 44,153 89,3 50,074 89,726 102,281 94,132 57,607 83,663 73,288 75,988 90,484 73,003 103,654 106,307 67,034 132,221 90,532 90,295 84,657 131,842 90,342 88,116 91,858 86,694 82,289 131,51 60,118 81,389 101,759 116,635 70,824 90,532 103,323 86,031 101,001 73,24 98,112 167,704 77,03 83,615 51,164 78,215 100,338 114,408 98,87 89,158 53,864 81,768 98,68 84,657 52,775 87,879 70,019 45,669 59,644 111,045 66,703 92,095 80,062 95,98 52,301 83,047 112,798 79,967 68,503 40,931 99,485 203,519 48,748 106,781 95,885 66,513 82,668 81,199 69,687 102,802 70,729 120,425 67,603 131,131 67,84 82,383 101,191 104,791 101,286 84,042 77,078 85,368 84,61 83,899 84,847 168,083 84,136 114,882 87,263 116,777 49,553 75,372 80,82 134,163 73,525 111,945 142,691 93,516 49,032 104,697 86,505 109,624 87,358 89,821 105,597 166,283 85,937 75,893 49,553 96,548 106,686 109,86 84,373 100,622 81,104 81,72 83,331 80,82 89,158 91,29 75,941 67,887 51,306 92,664 72,103 116,919 158,419 62,297 80,157 93,895 59,739 107,35 87,168 77,504 55,712 74,188 108,629 113,698 89,49 55,949 97,164 121,609 113,508 97,448 97,164 105,36 87,831 79,92 63,481 125,541 40,457 78,688 66,75 104,176 86,221 125,778 75,277 88,921 53,533 78,499 82,289 128,194 61,965 82,715 80,252 131,179 59,407 139,517 59,312 114,645 100,575 96,785 47,469 161,688 98,964 102,138 114,598 137,385 93,422 84,8 64,76 91,858 91,006 114,693 63,718 106,307 86,458 79,778 73,003 151,692 85,984 89,537 102,896 108,25 226,874 12,649 61,397 89,347 121,893 80,962 100,907 133,737 63,481 96,785 144,68 123,125 107,776 78,499 55,996 110,003 53,106 65,945 133,737 100,622 49,601 76,083 121,041 164,104 86,694 85,036 62,06 148,849 88,116 54,717 80,299 123,978 113,224 122,272 66,655 102,802 74,33 136,958 91,953 137,811 81,104 79,92 86,079 165,146 90,295 82,762 92,853 90,863 92 85,51 53,438 190,159 150,981 70,54 66,466 54,907 126,583 92 89,158 98,822 102,944 85,415 84,847 173,01 148,707 79,162 107,918 95,553 76,888 86,884 60,26 113,271 132,505 84,705 90,958 80,252 134,637 124,641 99,817 116,493 125,162 92,711 70,777 94,606 92,853 92,237 103,607 62,107 87,737 79,352 92,995 54,907 86,126 76,32 107,539 90,484 109,434 75,704 55,57 71,203 84,61 74,898 125,778 119,43 86,268 88,4 69,213 63,055 60,639 70,872 86,505 68,266 93,469 78,783 108,06 80,82 88,258 73,051 53,77 168,036 107,823 87,689 102,802 104,649 43,584 76,888 86,268 89,253 55,333 90,769 177,937 108,818 61,207 65,424 63,86 101,001 54,575 79,494 92,427 122,083 80,109 84,089 94,606 93,422 114,314 89,347 92,9 91,006 172,773 78,262 61,918 95,317 136,911 84,705 122,083 97,827 92,616 61,918 66,324 104,649 82,762 76,13 184,996 23,829 81,483 74,804 92,711 94,369 106,876 75,277 77,599 93,564 65,471 66,466 93,232 90,627 87,121 72,151 96,217 102,896 102,991 72,814 79,825 197,739 94,559 64,05 86,315 138,237 115,451 58,46 90,958 109,387 69,829 59,881 64,618 74,188 110,476 54,907 55,522 96,501 121,325 68,219 53,722 119,572 67,697 82,052 55,428 137,432 162,73 93,137 59,312 82,147 66,134 103,039 94,18 87,31 103,607 77,836 113,84 128,005 62,344 73,809 63,529 66,703 80,773 78,215 80,394 45,337 57,607 76,699 63,055 80,062 70,066 80,346 64,666 99,485 72,624 90,39 60,118 85,321 97,259 71,108 47,469 104,554 86,931 94,085 57,654 125,304 72,388 84,373 59,644 81,294 59,407 106,544 64,002 116,682 77,93 85,984 61,918 89,963 108,723 93,327 45,858 97,259 69,877 89,537 81,91 73,43 97,117 80,062 84,61 103,37 79,778 69,971 69,213 74,946 87,737 77,314 94,843 77,22 93,043 76,414 55,38 47,943 105,36 69,024 94,18 68,219 72,34 64,713 68,266 69,877 84,705 97,306 92,048 105,881 121,278 92,711 71,345 103,133 120,093 75,467 82,905 83,568 131,226 81,152 58,317 105,928 100,291 75,941 68,361 112,182 86,884 57,749 56,375 70,114 92,758 104,27 71,298 73,335 103,654 73,714 51,353 74,282 88,305 87,073 107,16 82,147 150,318 78,167 65,234 68,171 120,283 80,962 43,537 79,446 127,199 100,575 101,049 64,95 114,171 69,877 50,406 74,993 73,572 81,91 36,194 98,206 194,802 93,374 106,781 146,907 69,403 89,063 60,497 72,719 102,707 81,957 93,658 66,229 100,007 79,873 38,326 71,061 74,993 77,93 100,007 93,943 88,305 68,219 85,747 100,196 62,96 90,769 20,845 109,671 86,221 142,312 89,347 90,532 131,937 119,146 40,41 71,061 78,072 82,052 84,184 79,541 81,057 86,315 44,247 88,542 71,677 101,38 88,021 100,812 89,016 78,83 83,757 101,049 35,72 81,91 63,955 37,757 110,097 115,024 119,809 73,43 133,168 89,869 94,227 103,323 86,742 76,414 89,158 114,977 70,919 113,366 131,321 61,634 92,095 40,979 108,534 62,628 93,848 81,91 97,212 78,783 85,321 79,494 93,185 104,365 84,847 93,99 88,684 77,741 122,036 89,395 53,059 87,073 82,241 75,372