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Análise estatística-23-07
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Gráfico com desvios Trat rep1 rep2 rep3 rep4 Média Desvio-padrão Erro-padrão Gráfico de Barras Gráfico de pizza Gráfico de dispersão A 1.0 1.3 1.5 2.0 1.5 0.420 0.210 Lucro Prejuízo Estados Casos confirmados de Covid-19 CasosAcum ObitosAcum B 1.3 1.5 1.8 1.5 1.5 0.206 0.103 Jan 4 1 4 Centro-oeste 89103 1 0 C 1.9 2.1 1.9 2.0 2.0 0.096 0.048 Fev 4 2 3 Sul 70349 2 0 D 2.6 2.2 2.4 2.9 2.5 0.299 0.149 Mar 2 5 7 Norte 255524 2 0 E 3.0 3.1 3.3 3.4 3.2 0.183 0.091 Abr 5 0.5 9 Nordeste 459708 8 0 F 3.6 3.3 4.0 4.1 3.8 0.370 0.185 Mai 3 1 4 Sudeste 469459 8 0 G 4.2 5.0 5.9 6.5 5.4 1.010 0.505 Jun 1 4 Total 1344143 10 0 H 5.5 6.0 7.0 6.4 6.2 0.634 0.317 Jul 6 0.5 13 0 I 8.0 9.0 10.9 9.2 9.3 1.204 0.602 Ago 2 5 14 0 J 12.0 10.0 11.0 12.5 11.4 1.109 0.554 Set 7 4 16 0 10 tratamentos Out 3 0.5 23 1 Nov 6 1 31 1 Dez 8 2 52 1 71 1 81 1 1,50+-0,420 88 1 96 2 1.08 133 2 1.92 172 4 230 11 273 12 293 16 344 21 398 24 445 27 478 32 630 34 695 37 797 40 1040 44 1205 48 1320 54 1396 60 1604 66 1757 76 1951 88 2105 100 2223 112 2410 125 2528 145 2804 166 M 20 3190 184 F 25 3506 204 3805 224 4040 237 4227 249 4530 271 5028 291 5389 305 5909 330 6765 355 7599 379 8144 399 8526 423 9112 444 9801 470 10739 496 11592 524 12492 549 13238 576 14198 604 15114 634 16058 663 17212 693 18767 722 21191 754 22786 784 24278 817 26145 853 27979 887 30482 911 32620 932 34639 955 35297 976 36625 997 38174 1028 40629 1062 43313 1095 45470 1132 47593 1170 49371 1247 52069 1285 53508 1322 55680 1360 57605 1399 58859 1436 59850 1467 60592 1499 62711 1537 Y=2+5,6X 64735 1570 66091 1607 68500 1645 69673 1684 70059 1721 70689 1760 72021 1797 73314 1836 74925 1871 76698 1906 78115 1943 78512 1982 Média 0.42031734043061686 0.20615528128088406 9.5742710775633899E-2 0.29860788111947706 0.1825741858350553 0.36968455021364716 1.0099504938362058 0.63442887702247608 1.2038133853163013 1.1086778913041726 0.42031734043061686 0.20615528128088406 9.5742710775633899E-2 0.29860788111947706 0.1825741858350553 0.36968455021364716 1.0099504938362058 0.63442887702247608 1.2038133853163013 1.1086778913041726 A B C D E F G H I J 1.45 1.5249999999999999 1.9750000000000001 2.5250000000000004 3.1999999999999997 3.75 5.4 6.2249999999999996 9.2749999999999986 11.375 Tratamentos Produtividade de grãos (t/ha) kkkkkkkkkkk?????? Lucro Jan Fev Mar Abr Mai Jun Jul Ago Set Out Nov Dez 4 4 2 5 3 1 6 2 7 3 6 8 Prejuízo Jan Fev Mar Abr Mai Jun Jul Ago Set Out Nov Dez 1 2 5 0.5 1 4 0.5 5 4 0.5 1 2 Centro-oeste Sul Norte Nordeste Sudeste 89103 70349 255524 459708 469459 Centro-oeste Sul Norte Nordeste Sudeste 89103 70349 255524 459708 469459 M F 20 25 ObitosAcum 1 2 2 8 8 10 13 14 16 23 31 52 71 81 88 96 133 172 230 273 293 344 398 445 478 630 695 797 1040 1205 1320 1396 1604 1757 1951 2105 2223 2410 2528 2804 3190 3506 3805 4040 4227 4530 5028 5389 5909 6765 7599 8144 8526 9112 9801 10739 11592 12492 13238 14198 15114 16058 17212 18767 21191 22786 24278 26145 27979 30482 32620 34639 35297 36625 38174 40629 43313 45470 47593 49371 52069 53508 5568 0 57605 58859 59850 60592 62711 64735 66091 68500 69673 70059 70689 72021 73314 74925 76698 78115 78512 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 2 2 4 11 12 16 21 24 27 32 34 37 40 44 48 54 60 66 76 88 100 112 125 145 166 184 204 224 237 249 271 291 305 330 355 379 399 423 444 470 496 524 549 576 604 634 663 693 722 754 784 817 853 887 911 932 955 976 997 1028 1062 10 95 1132 1170 1247 1285 1322 1360 1399 1436 1467 1499 1537 1570 1607 1645 1684 1721 1760 1797 1836 1871 1906 1943 1982 Estatística descritiva Estudantes Y-2018 média(unidade) Amplitude erro=desvio desvio^2 (g) Var (unidade^2) DP CV(%) EPM Estudantes Y-2019 média Amplitude erro=desvio desvio^2 Var (unidade^2) DP CV(%) EPM Resumo 1 5.0 7.4 10.0 -2.4 5.9 (g^2) 7.2058947368 2.684 36.1776249006 0.600 1 9.0 8.6 10.0 0.4 0.1 1.4177631579 1.191 13.8052011684 0.266 Y-2018 Y-2019 2 6.0 0.5 -1.4 2.0 unidade^2 7.2058947368 descrever 50% precisão 2 8.0 5.6 -0.6 0.4 Média 7.42 8.63 3 2.4 9.5 -5.0 25.2 (kg/ha)^2 CV=+DP/+ou-media 3 10.0 4.4 1.4 1.9 Var(unid^2) 7.21 1.42 4 10.0 50 kg/ha 2.6 6.7 4 7.0 50 kg/ha -1.6 2.6 DP 2.68 1.19 5 10.0 2.6 6.7 cv=50/100*100 5 10.0 1.4 1.9 CV(%) 36.18 13.81 6 0.5 -6.9 47.9 2,68g 6 9.5 0.9 0.8 EPM 0.60 0.27 7 9.5 2.1 4.3 2,68unidade Max=infinito(+) 7 8.5 -0.1 0.0 Heterogenea Homogenea 8 9.0 1.6 2.5 Min=infinito(-) 8 7.0 -1.6 2.6 9 6.0 -1.4 2.0 9 8.9 0.3 0.1 10 7.9 0.5 0.2 Heterogenea 10 9.5 0.9 0.8 11 4.5 -2.9 8.5 max 10.08 11 7.0 -1.6 2.6 12 6.9 -0.5 0.3 media 7.4 68% 12 5.6 -3.0 9.2 13 7.9 0.5 0.2 min 4.72 13 7.8 -0.8 0.7 14 8.6 1.2 1.4 Homogenea 14 9.0 0.4 0.1 15 9.0 1.6 2.5 max 7.9 15 9.0 0.4 0.1 16 6.7 -0.7 0.5 media 7.4 68% 16 9.7 1.1 1.2 17 9.0 1.6 2.5 min 6.9 17 9.0 0.4 0.1 18 9.5 2.1 4.3 18 9.5 0.9 0.8 19 10.0 2.6 6.7 19 9.5 0.9 0.8 20 10.0 2.6 6.7 20 9.0 0.4 0.1 0.0 136.9 -0.0 26.9 desvio S.D. S.Q.Dx desvio S.D. S.Q.Dx S2=QM QM=SQ/GL GL numero de combinacoes que estao livres para variar. A GL=3-1=2 B C AB NAO ESTA LIVRE PARA VARIAR AC=1 BC=2 esta livre para variar AB=1 AC nao esta livre para variar BC=2 soma 3 numeros =20 E1=6 esta livre para variar E2=5 E3=9 nao esta livre para variar E1=4 E2=6 E3=10 nao esta livre para variar 5 6 2.4 10 10 0.5 9.5 9 6 7.9 4.5 6.9 7.9 8.6 9 6.7 9 9.5 10 10 1) MEDIDAS DE POSIÇÃO: - média 2) MEDIDA DE DISPERSÃO: - amplitude, - variância, - desvio-padrão - erro padrão da média - coeficiente de variação Teste t - independente Variâncias diferentes (caso B) F-Test Two-Sample for VariancesHo: trat A = trat B t-Test: Two-Sample Assuming Unequal Variances Conclusão: Variâncias iguais (caso A) Amostra Trat A Trat B Ha: trat A é dif do trat B (bilateral) t_calc>t_tab=>RRHo Método1 Método2 F-Test Two-Sample for Variances Ho: var1=var2 1 0.2 1 Trat B Trat A Photo sem N Photo com N 3.935483871 Há evidencias para rejeitar Ho 4.7 3.7 Ha: var1>var2 2 0.25 1.05 Teste F Mean 1.22 0.31 Mean 0.31 1.22 0.91 3.7 4.1 Método1 Método2 3 0.3 1.1 Ho: varA = varB Variance 0.0837894737 0.0314736842 Variance 0.0314736842 0.0837894737 3.2 3.5 Mean 4.0666666667 4.38 4 0.25 1.05 Ha: varB é > que a varA Observations 20 20 Observations 20 20 3.1 5.5 Variance 0.7842424242 0.4245714286 5 0.3 1.1 df 19 19 Hypothesized Mean Difference 0 3.9 4.1 Observations 12 15 6 0.6 0.9 F_calc 2.6622073579 df 32 4.8 4.7 df 11 14 7 0.3 1.7 P(F<=f) one-tail 0.0193796287 0,05=alfa 0.0193796287 t Stat -11.9870173302 pq esse valor é negativo? 1,0? 3.1 4.9 F 1.8471389535 8 0.3 1.1 F_tabelado 2.1682516014 2.1682516014 P(T<=t) one-tail 0 0 5.1 3.5 P(F<=f) one-tail 0.1393305792 9 0.35 1.15 Fcalc 2.6622073579 alfa = 5% ou 0,05 t Critical one-tail 1.6938887484 -1.6938887484 4.9 3.9 F Critical one-tail 2.5654974068 10 0.4 1.2 P-valor 0.0193796287 P(T<=t) two-tail 0 0 0 5.3 3.7 alfa=5%=0,05 11 0.25 1.05 Fcalc(2,66)>Ftab(2,16)=>RRHo t Critical two-tail 2.0369333435 2.0369333435 2.8 4.8 Conclusão: 12 0.2 1 P-valor<alfa=>RRHo t^2=F 4.2 5 P-valor(0,1398)>alfa(0,05)=>RAHo 13 0.3 1.1 -0.91 143.6885844749 143.6885844749 5.3 As variâncias são iguais ao nível de 5% de probabilidade 14 0.2 1.4 Concluão do teste F 0.0759154655 -11.9870173302 4.4 15 0.1 2 As variâncias são diferentes ao nível de 5% de probabilidade 4.6 F_calc<F_tab=>RAHo 16 0.9 1.7 A varB é > que a varA Variância 0.7842424242 0.4245714286 17 0.3 1.1 18 0.2 1 CASO B (variâncias diferentes) t-Test: Two-Sample Assuming Equal Variances 19 0.1 1.5 20 0.4 1.2 Método1 Método2 Variância 0.0314736842 0.0837894737 t-Test: Two-Sample Assuming Unequal Variances Mean 4.0666666667 4.38 1.0770491803 Média 0.31 1.22 0.91 Variance 0.7842424242 0.4245714286 DP 0.1774082417 0.2894641147 Trat B Trat A Observations 12 15 27 25 Conclusão do teste F Mean 1.22 0.31 Pooled Variance 0.5828266667 Caaso A: variâncias supostamente iguais Variance 0.0837894737 0.0314736842 Hypothesized Mean Difference 0 Caaso B: variâncias supostamente diferentes Observations 20 20 df 25 Hypothesized Mean Difference 0 t Stat -1.0597203206 df 32 P(T<=t) one-tail 0.149701753 t Stat 11.9870173302 t Critical one-tail 1.7081407613 P(T<=t) one-tail 0 P(T<=t) two-tail 0.2994035059 t Critical one-tail 1.6938887484 t Critical two-tail 2.0595385528 P(T<=t) two-tail 0 t Critical two-tail 2.0369333435 Teste t bilateral Ho: método1=método2 Ha: método1 é diferente do método2 teste bilateral Hipótese do pesquisador Conclusão: Teoria t_calc<t-tab=>RAHo P-valor>alfa=>RAHo P-valor(0,299)>alfa(0,05)=>RAHo P-valor<alfa=>RRHo A média do método 1 é diferente da média do método2 F_calc>F_tab=>RRHo A média do método2 é 7% maior que F_calc<F_tab=>RAHo a média do método1 P-valor<alfa Teste t bilateral F-Test Two-Sample for Variances Variable 1 Variable 2 Mean 1.22 0.31 Variance 0.0837894737 0.0314736842 F_calc > ou < F_tab Observations 20 20 Ho: varA=varB df 19 19 Ha:varB > varA F 2.6622073579 P(F<=f) one-tail 0.0193796287 Conclusão: F Critical one-tail 3.0273578825 Fcalc<Ftab=>RAHo alfa=1%=0,01 P-valor>alfa=>Aho alfa=0,1% 4.4737597136 As variâncias são iguais ao nível de 1% de probabilidade alfa=10% 1.8224027617 alfa=25% 1.3691748175 Anova: Single Factor SUMMARY Groups Count Sum Average Variance Trat A 20 6.2 0.31 0.0314736842 Trat B 20 24.4 1.22 0.0837894737 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 8.281 1 8.281 143.6885844749 0 4.0981717309 Within Groups 2.19 38 0.0576315789 Total 10.471 39 11.9870173302 Teste t - dependente antes depois diferença Fv/Fm Ho: Fv/Fm é a mesma nas duas condições t-Test: Paired Two Sample for Means 23 34 -11 Ho: d=0 planta sombra sol Ha: Fv/Fm é diferente nas duas condições 25 35 -10 Ha: d dif de 0 1 0.683 0.884 sombra sol 21 37 -16 2 0.651 0.871 Amostras dependentes ou independentes? Mean 0.6562 0.8451 23 34 -11 t-Test: Paired Two Sample for Means 3 0.635 0.802 Variance 0.0004721778 0.0008205444 21 35 -14 4 0.611 0.86 Observations 10 10 25 32 -7 antes depois 5 0.673 0.836 Pearson Correlation 0.2245252839 23 33 -10 Mean 21.5333333333 34.2666666667 6 0.646 0.813 Hypothesized Mean Difference 0 21 38 -17 Variance 5.4095238095 5.3523809524 7 0.652 0.845 df 9 24 34 -10 Observations 15 15 8 0.668 0.882 t Stat -18.7664439511 21 35 -14 Pearson Correlation -0.2407113578 9 0.672 0.821 P(T<=t) one-tail 0.000000008 21 33 -12 Hypothesized Mean Difference 0 10 0.671 0.837 t Critical one-tail 1.8331129327 18 37 -19 df 14 t_calc média 0.6562 0.8451 -0.1889 1.287869552 P(T<=t) two-tail 0.0000000159 alfa=0,05 20 32 -12 t Stat -13.4961028876 -12.7333333333 -13.4961028876 t Critical two-tail 2.2621571628 20 29 -9 P(T<=t) one-tail 0.000000001 0.9434822363 Atividade: quando escolher o teste t pareado? 17 36 -19 t Critical one-tail 1.7613101358 EPM Conclusão: P(T<=t) two-tail 0.000000002 alfa=0,05 t_calc>t_tab=>RRHo t Critical two-tail 2.1447866879 P-valor<alfa(0,05)=>RRHo A média da FV/Fm no tratamento Sol é maior que a média da FV/Fm no tratamento Sombra Conclusão: P-valor<alfa(0,05)=>RRHo t_calc>t_tab=>RRHo O N aumentou a fotossintese das plantas de milho ANOVA - DIC rep1 rep2 rep3 rep4 total média DP FV Gl SQ QM F calc F tab 5% P-valor Anova: Single Factor Trats rep1 rep2 rep3 rep4 total media DP Ho: todas as médias são iguais Trats rep1 rep2 rep3 rep4 rep5 total N. obs DP Média Perda de parcelas! DIC permite executar a ANOVA com parcelas perdidas Anova: Single Factor Baixo Mo 334 381 236 341 1292 323.0 61.5846301172 trat 2 636933.50 318466.75 45.0536526899 4.26 0.0000204935 Ho: todas as médias são iguais (sempre abrange a igualdade) Trat1 2 4 3 6 15 3.75 1.7078251277 Ha: pelo menos duas médias são diferentes A 1.4 1.6 1.7 1.8 6.5 4 0.1707825128 1.625 Médio Mo 675 456 650 550 2331 582.8 100.2841795433 resíduo 9 63617.50 7068.6111111111 Ha: pelo menos duas médias são diferentes SUMMARY Trat2 1 2 1 3 7 1.75 0.9574271078 B 1.4 1.3 1.2 1.3 1.2 6.4 5 0.0836660027 1.28 SUMMARY Alto Mo 865 897 789 996 3547 886.8 85.768583992 total 11 700551.00 Groups Count Sum Average Variance Trat3 5 8 9 12 34 8.5 2.8867513459 C 1.1 1 1.1 1 4.2 4 0.0577350269 1.05 Groups Count Sum Average Variance Atividade: 7170 7170 CV%= DP/media*100 Baixo Mo 4 1292 323 3432.6666666667 D 1.3 1.3 1 1.2 1.1 5.9 5 0.1303840481 1.18 A 4 6.5 1.625 0.0291666667 Quando usar a ANOVA? Var=QMR CV%= 14.07% SQTotal=mede a variaçãototal nos dados Médio Mo 4 2331 582.75 10056.9166666667 FV GL SQ QM F P-valor E 1.3 1.3 1.3 1.2 5.1 4 0.05 1.275 B 5 6.4 1.28 0.007 O que a ANOVA faz? DIC=ambiente homogêneo DP=raiz(Var) SQTrat=mede a variação entre grupos (tratamentos), essa é a variação explicada Alto Mo 4 3547 886.75 7356.25 trat 2 96.167 48.083 11.856 0.003005313 1.2772727273 C 4 4.2 1.05 0.0033333333 DP=raiz(QMR) SQErro=mede a variação dentro dos tratamentos (variação não explicada), não pode ser explicada pelas possíveis diferenças entre os tratamentos res 9 36.500 4.056 Altura de mudas de eucaliptus spp (Y=VD) e 5 tipo de recipientes (X, VI) D 5 5.9 1.18 0.017 Variação entre tratamentos (conhecida) total 11 132.667 E 4 5.1 1.275 0.0025 F=45,8 => o QMTrat é 45,8 vezes maior que o QMR ANOVA - DIC CV%= 8.51% Source of Variation SS df MS F calc P-value F crit CV%= 43.15% Quanto >DP de cada tratamento > será o CV Conclusão: trat Between Groups 636933.5 2 318466.75 45.8317129722 0.0000191059 4.2564947291 Variação dentro do tratamento FV GL SQ QM F calc P-valor Ho: todas as médias são iguais ANOVA Variação dentro do tratamento (não conhecida) P-valor<alfa=>RRHo resíduo Within Groups 62537.5 9 6948.6111111111 Conclusão: Trat 4 0.737636 0.1844090909 15.5967887834 1.57E-05 Ha: pelos menos duas médias de tratamentos são diferentes Source of Variation SS df MS F P-value F crit Pelo menos duas médias são diferentes P-valor<alfa=>RRHo Res 17 0.201000 0.0118235294 Between Groups 0.7376363636 4 0.1844090909 15.5967887834 0.0000157141 2.96470811 Total 699471 11 Pelo menos duas médias são diferentes Total 21 0.9386363636 Conclusão: Within Groups 0.201 17 0.0118235294 Essas diferenças não devem ser atribuídas ao acaso e sim ao efeito dos tratamentos F5% (4;17)=2,96 P-valor<alfa(0,05)=>RRHo CV%= O resíduo sempre será obtido por diferença (Sqtotal - Sqtrat) F_calc>F_tab=>RRHo Total 0.9386363636 21 (trats) O que significa CV=13,95%? Pelos menos duas médias são diferentes (resíduos) F=QMtrat/QMR (<F) SQDx Anova com F significativo deve-se aplicar um teste de média trat rep VD desvio desvio^2 Sqtotal Sqtrat SQRes Qmtrat 1 1 2 -2.6666666667 7.1111111111 132.6666666667 3.75 0.8402777778 24.0416666667 36.5 0.8402777778 3.75 48.0833333333 trat 1 2 4 -0.6666666667 0.4444444444 96.1666666667 8.5069444444 1.75 F=QMtrat/QMR (>F) 1 3 3 -1.6666666667 2.7777777778 14.6944444444 8.5 res 1 4 6 1.3333333333 1.7777777778 89.375 somar(trat+res)=total 2 1 1 -3.6666666667 13.4444444444 1.75 8.5069444444 2 2 2 -2.6666666667 7.1111111111 n*soma(m.Ti - m.geral)^2 DIC, 7 trat, 10 rep 2 3 1 -3.6666666667 13.4444444444 Fv GL SQ Qm F P P<0,05 Teste de media 2 4 3 -1.6666666667 2.7777777778 trat 6 P<0,05=>regressao regressao 3 1 5 0.3333333333 0.1111111111 8.5 14.6944444444 res 63 3 2 8 3.3333333333 11.1111111111 total 69 3 3 9 4.3333333333 18.7777777778 3 4 12 7.3333333333 53.7777777778 Média_geral 4.6666666667 Soma(V.obs-media)^2 61.584630117153957 100.28417954326926 85.76858399204221 61.584630117153957 100.28417954326926 85.76858399204221 Baixo Mo Médio Mo Alto Mo 323 582.75 886.75 1.707825127659933 0.9574271077563381 2.8867513459481291 1.707825127659933 0.9574271077563381 2.8867513459481291 Trat1 Trat2 Trat3 3.75 1.75 8.5 Tratamentos y ANOVA - DBC rep1 rep2 rep3 rep4 total N. rep=J Média Anova: Two-Factor Without Replication Anova: Single Factor observações valor X f(x) Sombreado Média 200 gl sq qm f p controle 1200 1432 700 900 4232 4 1058 1 192 0.0000669151 DP 2 bloco 4 C+L 1200 1400 1233 1432 5265 4 1316.25 SUMMARY Count Sum Average Variance SUMMARY 2 192.016016016 0.000069091 Mínimo 192 trat 3 6.62 0.007 P>0,05=>RAHo (NS) => aceita-se Ho => as médias são iguais L+A 1455 1432 1654 1476 6017 4 1504.25 controle 4 4232 1058 104389.333333333 Groups Count Sum Average Variance 3 192.032032032 0.0000713331 Máximo 208 res 12 P(0,27)>alfa(0,05)=>Aceita-se Ho L+G 1256 1378 1800 1457 5891 4 1472.75 C+L 4 5265 1316.25 13618.9166666667 controle 4 4232 1058 104389.333333333 4 192.048048048 0.0000736432 n 1000 total 19 A+G 1100 1347 1763 1287 5497 4 1374.25 L+A 4 6017 1504.25 10289.5833333333 C+L 4 5265 1316.25 13618.9166666667 5 192.0640640641 0.0000760233 incremento 0.016016016 Artigo P<alfa=>significativo C+G 1543 1543 1789 1987 6862 4 1715.5 L+G 4 5891 1472.75 54432.9166666667 L+A 4 6017 1504.25 10289.5833333333 6 192.0800800801 0.0000784753 área início 198 Teste bilateral P>alfa=>NS total 7754 8532 8939 8539 A+G 4 5497 1374.25 78231.5833333333 L+G 4 5891 1472.75 54432.9166666667 7 192.0960960961 0.0000810011 área fim 202 N. trat=I 6 6 6 6 C+G 4 6862 1715.5 46209 A+G 4 5497 1374.25 78231.5833333333 8 192.1121121121 0.0000836029 F_calc>F_tab=>rejeita-se Ho C+G 4 6862 1715.5 46209 9 192.1281281281 0.0000862827 F_calc<F_tab=>aceita-se Ho FV GL SQ QM F_calc P_valor A priori rep1 6 7754 1292.3333333333 28931.4666666668 10 192.1441441441 0.0000890427 blocos 3 122976.33 40992.1111111119 0.77 0.529 P<0,05=>RRHo. Os blocos são heterogêneos. rep2 6 8532 1422 4577.2 11 192.1601601602 0.0000918851 trat 5 960247.33 192049.466666667 3.61 0.0242446924 P<0,05=>Rejeita-se Ho. Pelo menos duas médias de tratamentos são diferentes rep3 6 8939 1489.8333333333 195414.966666667 ANOVA 12 192.1761761762 0.0000948121 res 15 798537.67 53235.8444444443 P>0,05=>Aceita-se Ho rep4 6 8539 1423.1666666667 122833.366666667 Source of Variation SS df MS F P-value F crit 13 192.1921921922 0.0000978262 total 23 1881761.33 Between Groups 960247.333333334 5 192049.466666667 3.7513162036 0.0167490243 2.772853153 14 192.2082082082 0.0001009295 Conclusão: Within Groups 921514 18 51195.2222222222 15 192.2242242242 0.0001041246 F_calc>F_tab=>RRHo=>pelos menos duas médias são diferentes DIC ANOVA alfa=0,05 16 192.2402402402 0.000107414 FV GL Source of Variation SS df MS F_calc P-value F crit Total 1881761.33333333 23 17 192.2562562563 0.0001108002 trat 5 Rows 960247.333333334 5 192049.466666667 3.6075217491 0.0242446924 2.9012945362 18 192.2722722723 0.0001142859 res 18 Columns 122976.333333334 3 40992.1111111112 0.7700095967 0.5285335095 3.2873821046 19 192.2882882883 0.0001178736 Teste F_calc se compara com F tabelado total 23 24 Error 798537.666666666 15 53235.8444444444 20 192.3043043043 0.0001215661 21 192.3203203203 0.0001253663Hipóteses para tratamentos: Total 1881761.33333333 23 22 192.3363363363 0.000129277 Ho: as médias de tratamentos são iguais 23 192.3523523524 0.0001333011 Ha: pelo menos duas médias de tratamentos são diferentes 24 192.3683683684 0.0001374417 25 192.3843843844 0.0001417018 Teste bilateral 26 192.4004004004 0.0001460846 27 192.4164164164 0.0001505932 alfa=0,05=5% 28 192.4324324324 0.0001552311 29 192.4484484484 0.0001600015 30 192.4644644645 0.000164908 31 192.4804804805 0.0001699541 P_valor<alfa=>Rejeita-se Ho, significativo, pelos menos duas médias são diferentes 32 192.4964964965 0.0001751433 33 192.5125125125 0.0001804793 34 192.5285285285 0.000185966 35 192.5445445445 0.0001916073 36 192.5605605606 0.000197407 37 192.5765765766 0.0002033692 38 192.5925925926 0.000209498 39 192.6086086086 0.0002157977 40 192.6246246246 0.0002222726 41 192.6406406406 0.0002289271 42 192.6566566567 0.0002357657 43 192.6726726727 0.000242793 44 192.6886886887 0.0002500137 trat 45 192.7047047047 0.0002574327 res. 46 192.7207207207 0.0002650548 47 192.7367367367 0.0002728851 48 192.7527527528 0.0002809287 49 192.7687687688 0.0002891908 50 192.7847847848 0.0002976769 51 192.8008008008 0.0003063923 52 192.8168168168 0.0003153426 P_valor>alfa=>Aceita-se Ho, não significativo, as médias são iguais 53 192.8328328328 0.0003245336 54 192.8488488488 0.0003339711 55 192.8648648649 0.000343661 56 192.8808808809 0.0003536093 57 192.8968968969 0.0003638223 58 192.9129129129 0.0003743063 59 192.9289289289 0.0003850677 60 192.9449449449 0.000396113 F_calc com F_tab 61 192.960960961 0.0004074491 P_valor com alfa 62 192.976976977 0.0004190827 63 192.992992993 0.0004310208 64 193.009009009 0.0004432706 65 193.025025025 0.0004558393 66 193.041041041 0.0004687343 67 193.0570570571 0.0004819632 68 193.0730730731 0.0004955337 69 193.0890890891 0.0005094535 70 193.1051051051 0.0005237308 71 193.1211211211 0.0005383737 72 193.1371371371 0.0005533906 73 193.1531531532 0.0005687898 74 193.1691691692 0.00058458 75 193.1851851852 0.00060077 76 193.2012012012 0.0006173689 77 193.2172172172 0.0006343857 78 193.2332332332 0.0006518297 79 193.2492492492 0.0006697104 80 193.2652652653 0.0006880375 81 193.2812812813 0.0007068208 82 193.2972972973 0.0007260703 83 193.3133133133 0.0007457963 84 193.3293293293 0.000766009 85 193.3453453453 0.0007867191 86 193.3613613614 0.0008079373 87 193.3773773774 0.0008296746 88 193.3933933934 0.000851942 89 193.4094094094 0.000874751 90 193.4254254254 0.0008981131 91 193.4414414414 0.0009220399 92 193.4574574575 0.0009465435 93 193.4734734735 0.000971636 94 193.4894894895 0.0009973297 95 193.5055055055 0.0010236373 96 193.5215215215 0.0010505713 97 193.5375375375 0.001078145 98 193.5535535536 0.0011063713 99 193.5695695696 0.0011352639 100 193.5855855856 0.0011648363 101 193.6016016016 0.0011951023 102 193.6176176176 0.0012260762 103 193.6336336336 0.0012577721 104 193.6496496497 0.0012902047 105 193.6656656657 0.0013233887 106 193.6816816817 0.0013573391 107 193.6976976977 0.0013920713 108 193.7137137137 0.0014276006 109 193.7297297297 0.0014639429 110 193.7457457457 0.001501114 111 193.7617617618 0.0015391303 112 193.7777777778 0.0015780082 113 193.7937937938 0.0016177643 114 193.8098098098 0.0016584157 115 193.8258258258 0.0016999796 116 193.8418418418 0.0017424734 117 193.8578578579 0.0017859148 118 193.8738738739 0.001830322 119 193.8898898899 0.001875713 120 193.9059059059 0.0019221065 121 193.9219219219 0.0019695211 122 193.9379379379 0.002017976 123 193.953953954 0.0020674903 124 193.96996997 0.0021180838 125 193.985985986 0.0021697761 126 194.002002002 0.0022225875 127 194.018018018 0.0022765383 128 194.034034034 0.0023316492 129 194.0500500501 0.0023879411 130 194.0660660661 0.0024454351 131 194.0820820821 0.0025041529 132 194.0980980981 0.0025641161 133 194.1141141141 0.0026253467 134 194.1301301301 0.0026878672 135 194.1461461461 0.0027517001 136 194.1621621622 0.0028168683 137 194.1781781782 0.0028833949 138 194.1941941942 0.0029513035 139 194.2102102102 0.0030206177 140 194.2262262262 0.0030913615 141 194.2422422422 0.0031635593 142 194.2582582583 0.0032372357 143 194.2742742743 0.0033124155 144 194.2902902903 0.0033891239 145 194.3063063063 0.0034673863 146 194.3223223223 0.0035472285147 194.3383383383 0.0036286765 148 194.3543543544 0.0037117565 149 194.3703703704 0.0037964953 150 194.3863863864 0.0038829196 151 194.4024024024 0.0039710566 152 194.4184184184 0.0040609338 153 194.4344344344 0.0041525789 154 194.4504504505 0.0042460199 155 194.4664664665 0.004341285 156 194.4824824825 0.004438403 157 194.4984984985 0.0045374025 158 194.5145145145 0.0046383128 159 194.5305305305 0.0047411633 160 194.5465465465 0.0048459836 161 194.5625625626 0.0049528037 162 194.5785785786 0.0050616539 163 194.5945945946 0.0051725646 164 194.6106106106 0.0052855666 165 194.6266266266 0.0054006909 166 194.6426426426 0.0055179689 167 194.6586586587 0.005637432 168 194.6746746747 0.0057591122 169 194.6906906907 0.0058830415 170 194.7067067067 0.0060092523 171 194.7227227227 0.006137777 172 194.7387387387 0.0062686487 173 194.7547547548 0.0064019002 174 194.7707707708 0.006537565 175 194.7867867868 0.0066756766 176 194.8028028028 0.0068162688 177 194.8188188188 0.0069593756 178 194.8348348348 0.0071050313 179 194.8508508509 0.0072532703 180 194.8668668669 0.0074041274 181 194.8828828829 0.0075576373 182 194.8988988989 0.0077138353 183 194.9149149149 0.0078727567 184 194.9309309309 0.0080344369 185 194.9469469469 0.0081989117 186 194.962962963 0.0083662169 187 194.978978979 0.0085363887 188 194.994994995 0.0087094634 189 195.011011011 0.0088854772 190 195.027027027 0.009064467 191 195.043043043 0.0092464693 192 195.0590590591 0.0094315211 193 195.0750750751 0.0096196596 194 195.0910910911 0.0098109218 195 195.1071071071 0.0100053451 196 195.1231231231 0.010202967 197 195.1391391391 0.010403825 198 195.1551551552 0.0106079569 199 195.1711711712 0.0108154004 200 195.1871871872 0.0110261935 201 195.2032032032 0.0112403741 202 195.2192192192 0.0114579803 203 195.2352352352 0.0116790502 204 195.2512512513 0.0119036221 205 195.2672672673 0.0121317341 206 195.2832832833 0.0123634247 207 195.2992992993 0.0125987321 208 195.3153153153 0.0128376947 209 195.3313313313 0.0130803509 210 195.3473473473 0.0133267391 211 195.3633633634 0.0135768977 212 195.3793793794 0.0138308652 213 195.3953953954 0.0140886797 214 195.4114114114 0.0143503798 215 195.4274274274 0.0146160037 216 195.4434434434 0.0148855897 217 195.4594594595 0.0151591758 218 195.4754754755 0.0154368004 219 195.4914914915 0.0157185013 220 195.5075075075 0.0160043165 221 195.5235235235 0.0162942838 222 195.5395395395 0.016588441 223 195.5555555556 0.0168868255 224 195.5715715716 0.0171894749 225 195.5875875876 0.0174964264 226 195.6036036036 0.0178077171 227 195.6196196196 0.0181233839 228 195.6356356356 0.0184434635 229 195.6516516517 0.0187679926 230 195.6676676677 0.0190970073 231 195.6836836837 0.0194305437 232 195.6996996997 0.0197686378 233 195.7157157157 0.0201113249 234 195.7317317317 0.0204586405 235 195.7477477477 0.0208106196 236 195.7637637638 0.0211672967 237 195.7797797798 0.0215287064 238 195.7957957958 0.0218948827 239 195.8118118118 0.0222658592 240 195.8278278278 0.0226416694 241 195.8438438438 0.0230223461 242 195.8598598599 0.0234079221 243 195.8758758759 0.0237984295 244 195.8918918919 0.0241939 245 195.9079079079 0.0245943651 246 195.9239239239 0.0249998555 247 195.9399399399 0.0254104016 248 195.955955956 0.0258260336 249 195.971971972 0.0262467807 250 195.987987988 0.0266726719 251 196.004004004 0.0271037356 252 196.02002002 0.0275399998 253 196.036036036 0.0279814916 254 196.0520520521 0.0284282378 255 196.0680680681 0.0288802646 256 196.0840840841 0.0293375974 257 196.1001001001 0.0298002613 258 196.1161161161 0.0302682804 259 196.1321321321 0.0307416783 260 196.1481481481 0.0312204781 261 196.1641641642 0.0317047019 262 196.1801801802 0.0321943713 263 196.1961961962 0.0326895071 264 196.2122122122 0.0331901294 265 196.2282282282 0.0336962575 266 196.2442442442 0.03420791 267 196.2602602603 0.0347251046 268 196.2762762763 0.0352478583 269 196.2922922923 0.0357761872 270 196.3083083083 0.0363101066 271 196.3243243243 0.036849631 272 196.3403403403 0.037394774 273 196.3563563564 0.0379455482 274 196.3723723724 0.0385019654 275 196.3883883884 0.0390640365 276 196.4044044044 0.0396317714 277 196.42042042040.040205179 278 196.4364364364 0.0407842675 279 196.4524524525 0.0413690437 280 196.4684684685 0.0419595138 281 196.4844844845 0.0425556826 282 196.5005005005 0.0431575543 283 196.5165165165 0.0437651316 284 196.5325325325 0.0443784165 285 196.5485485485 0.0449974097 286 196.5645645646 0.0456221109 287 196.5805805806 0.0462525186 288 196.5965965966 0.0468886304 289 196.6126126126 0.0475304425 290 196.6286286286 0.0481779501 291 196.6446446446 0.0488311471 292 196.6606606607 0.0494900264 293 196.6766766767 0.0501545795 294 196.6926926927 0.0508247968 295 196.7087087087 0.0515006675 296 196.7247247247 0.0521821796 297 196.7407407407 0.0528693196 298 196.7567567568 0.0535620729 299 196.7727727728 0.0542604238 300 196.7887887888 0.054964355 301 196.8048048048 0.0556738481 302 196.8208208208 0.0563888832 303 196.8368368368 0.0571094394 304 196.8528528529 0.057835494 305 196.8688688689 0.0585670233 306 196.8848848849 0.0593040021 307 196.9009009009 0.0600464039 308 196.9169169169 0.0607942008 309 196.9329329329 0.0615473635 310 196.9489489489 0.0623058611 311 196.964964965 0.0630696617 312 196.980980981 0.0638387317 313 196.996996997 0.064613036 314 197.013013013 0.0653925382 315 197.029029029 0.0661772006 316 197.045045045 0.0669669837 317 197.0610610611 0.0677618468 318 197.0770770771 0.0685617476 319 197.0930930931 0.0693666424 320 197.1091091091 0.070176486 321 197.1251251251 0.0709912317 322 197.1411411411 0.0718108313 323 197.1571571572 0.0726352351 324 197.1731731732 0.073464392 325 197.1891891892 0.0742982493 326 197.2052052052 0.0751367527 327 197.2212212212 0.0759798465 328 197.2372372372 0.0768274736 329 197.2532532533 0.0776795751 330 197.2692692693 0.0785360908 331 197.2852852853 0.079396959 332 197.3013013013 0.0802621163 333 197.3173173173 0.0811314978 334 197.3333333333 0.0820050373 335 197.3493493493 0.0828826669 336 197.3653653654 0.0837643172 337 197.3813813814 0.0846499173 338 197.3973973974 0.0855393947 339 197.4134134134 0.0864326756 340 197.4294294294 0.0873296844 341 197.4454454454 0.0882303443 342 197.4614614615 0.0891345768 343 197.4774774775 0.0900423019 344 197.4934934935 0.0909534381 345 197.5095095095 0.0918679027 346 197.5255255255 0.0927856111 347 197.5415415415 0.0937064774 348 197.5575575576 0.0946304144 349 197.5735735736 0.0955573332 350 197.5895895896 0.0964871435 351 197.6056056056 0.0974197538 352 197.6216216216 0.0983550707 353 197.6376376376 0.0992929999 354 197.6536536537 0.1002334453 355 197.6696696697 0.1011763096 356 197.6856856857 0.102121494 357 197.7017017017 0.1030688985 358 197.7177177177 0.1040184215 359 197.7337337337 0.1049699603 360 197.7497497498 0.1059234106 361 197.7657657658 0.1068786671 362 197.7817817818 0.1078356229 363 197.7977977978 0.1087941699 364 197.8138138138 0.1097541989 365 197.8298298298 0.1107155992 366 197.8458458458 0.1116782591 367 197.8618618619 0.1126420653 368 197.8778778779 0.1136069038 369 197.8938938939 0.1145726591 370 197.9099099099 0.1155392145 371 197.9259259259 0.1165064524 372 197.9419419419 0.1174742539 373 197.957957958 0.118442499 374 197.973973974 0.1194110667 375 197.98998999 0.120379835 376 198.006006006 0.1213486806 0.1213486806 377 198.022022022 0.1223174794 0.1223174794 378 198.038038038 0.1232861064 0.1232861064 379 198.0540540541 0.1242544355 0.1242544355 380 198.0700700701 0.1252223395 0.1252223395 381 198.0860860861 0.1261896907 0.1261896907 382 198.1021021021 0.1271563601 0.1271563601 383 198.1181181181 0.1281222182 0.1281222182 384 198.1341341341 0.1290871344 0.1290871344 385 198.1501501502 0.1300509773 0.1300509773 386 198.1661661662 0.131013615 0.131013615 387 198.1821821822 0.1319749145 0.1319749145 388 198.1981981982 0.1329347423 0.1329347423 389 198.2142142142 0.1338929642 0.1338929642 390 198.2302302302 0.1348494452 0.1348494452 391 198.2462462462 0.1358040498 0.1358040498 392 198.2622622623 0.1367566419 0.1367566419 393 198.2782782783 0.1377070847 0.1377070847 394 198.2942942943 0.1386552409 0.1386552409 395 198.3103103103 0.1396009729 0.1396009729 396 198.3263263263 0.1405441423 0.1405441423 397 198.3423423423 0.1414846105 0.1414846105 398 198.3583583584 0.1424222384 0.1424222384 399 198.3743743744 0.1433568865 0.1433568865 400 198.3903903904 0.144288415 0.144288415 401 198.4064064064 0.1452166837 0.1452166837 402 198.4224224224 0.14614155230.1461415523 403 198.4384384384 0.1470628801 0.1470628801 404 198.4544544545 0.1479805263 0.1479805263 405 198.4704704705 0.1488943498 0.1488943498 406 198.4864864865 0.1498042094 0.1498042094 407 198.5025025025 0.1507099639 0.1507099639 408 198.5185185185 0.1516114719 0.1516114719 409 198.5345345345 0.1525085921 0.1525085921 410 198.5505505506 0.1534011832 0.1534011832 411 198.5665665666 0.1542891037 0.1542891037 412 198.5825825826 0.1551722125 0.1551722125 413 198.5985985986 0.1560503684 0.1560503684 414 198.6146146146 0.1569234304 0.1569234304 415 198.6306306306 0.1577912578 0.1577912578 416 198.6466466466 0.15865371 0.15865371 417 198.6626626627 0.1595106468 0.1595106468 418 198.6786786787 0.160361928 0.160361928 419 198.6946946947 0.1612074142 0.1612074142 420 198.7107107107 0.1620469659 0.1620469659 421 198.7267267267 0.1628804444 0.1628804444 422 198.7427427427 0.1637077112 0.1637077112 423 198.7587587588 0.1645286284 0.1645286284 424 198.7747747748 0.1653430586 0.1653430586 425 198.7907907908 0.1661508651 0.1661508651 426 198.8068068068 0.1669519115 0.1669519115 427 198.8228228228 0.1677460623 0.1677460623 428 198.8388388388 0.1685331826 0.1685331826 429 198.8548548549 0.1693131383 0.1693131383 430 198.8708708709 0.1700857959 0.1700857959 431 198.8868868869 0.1708510228 0.1708510228 432 198.9029029029 0.1716086871 0.1716086871 433 198.9189189189 0.1723586581 0.1723586581 434 198.9349349349 0.1731008056 0.1731008056 435 198.950950951 0.1738350006 0.1738350006 436 198.966966967 0.174561115 0.174561115 437 198.982982983 0.1752790216 0.1752790216 438 198.998998999 0.1759885946 0.1759885946 439 199.015015015 0.176689709 0.176689709 440 199.031031031 0.1773822409 0.1773822409 441 199.047047047 0.1780660678 0.1780660678 442 199.0630630631 0.1787410682 0.1787410682 443 199.0790790791 0.1794071219 0.1794071219 444 199.0950950951 0.18006411 0.18006411 445 199.1111111111 0.1807119149 0.1807119149 446 199.1271271271 0.1813504204 0.1813504204 447 199.1431431431 0.1819795114 0.1819795114 448 199.1591591592 0.1825990746 0.1825990746 449 199.1751751752 0.1832089979 0.1832089979 450 199.1911911912 0.1838091708 0.1838091708 451 199.2072072072 0.1843994842 0.1843994842 452 199.2232232232 0.1849798306 0.1849798306 453 199.2392392392 0.1855501041 0.1855501041 454 199.2552552553 0.1861102004 0.1861102004 455 199.2712712713 0.1866600168 0.1866600168 456 199.2872872873 0.1871994524 0.1871994524 457 199.3033033033 0.1877284079 0.1877284079 458 199.3193193193 0.1882467856 0.1882467856 459 199.3353353353 0.18875449 0.18875449 460 199.3513513514 0.1892514268 0.1892514268 461 199.3673673674 0.189737504 0.189737504 462 199.3833833834 0.1902126313 0.1902126313 463 199.3993993994 0.1906767203 0.1906767203 464 199.4154154154 0.1911296843 0.1911296843 465 199.4314314314 0.1915714389 0.1915714389 466 199.4474474474 0.1920019013 0.1920019013 467 199.4634634635 0.192420991 0.192420991 468 199.4794794795 0.1928286294 0.1928286294 469 199.4954954955 0.1932247397 0.1932247397 470 199.5115115115 0.1936092475 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