[R-br] O tamanho das bolas ajuda a descobrir quais são as bolas pretas?

Ricardo Dobrovolski rdobrovolski em gmail.com
Domingo Março 22 16:03:56 BRT 2015


Oi Pessoal,

Tudo bem?

Suponham que quero descobrir quais são as bolas pretas ("col" = 1) em um
conjunto de milhares de bolas. Sei porém que dois fatores podem afetar
minha capacidade de adivinhar a cor da bola. Um é conhecido, a rugosidade,
bolas rugosas  ("rug" = 1) tendem a ser pretas. Outro é o efeito que quero
descobrir, o tamanho da bola ("siz").

Como fazer um teste de aleatorização para avaliar separadamente esses
efeitos?

Em anexo, está o arquivo com os dados e uma sugestão de solução do
problema, baseado em um teste de aleatorização em que seleciono dentre o
conjunto de bolas, aquelas que são rugosas e dentre estas vou selecionando
bolas com tamanhos cada vez menores a fim de descobrir se existe efeito do
tamanho e qual o tamanho máximo que a bola tem de ter para influir na minha
decisão.

Porém, eu tenho dois problemas, o poder do teste de aleatorização, pois
quando vou diminuindo o tamanho da bola, meu universo de possibilidades é
reduzido. E o outro é o fato de que faço teste para diferentes categorias
de tamanho de bola, como extrair uma conclusão geral.

Não sei se alguém vai ter saco de me ajudar, mas isso acontecer, agradeço.
Se alguém souber de literatura que trate desses temas, também será
bem-vinda.

Abraço,

Ricardo Dobrovolski
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0 0 0.610297619047619
0 0 0.542925659472422
1 1 0.93
0 0 0.79875
0 0 0.682645739910314
1 1 0.47
0 0 0.69037037037037
0 0 0.514238888888889
0 0 0.514953742640875
1 1 0.976666666666667
0 0 0.550495495495495
0 0 0.728032128514056
0 0 0.788712747307789
0 0 0.753306613226453
0 0 0.798490366851412
0 1 0.3905
0 0 0.722882882882883
0 0 0.715561097256858
1 1 0.986666666666667
0 0 0.558136645962733
0 0 0.569880952380952
0 0 0.624719101123596
0 0 0.969723634053367
0 0 0.866206310315516
1 0 0.624166666666667
0 0 0.939354978354978
0 0 0.986620879120879
1 0 0.873019801980198
0 0 0.728840579710145
0 0 0.839630512514899
0 0 0.887331277834875
1 0 0.813182751540041
1 1 0.751
1 1 0.99
0 0 0.367412309728657
1 1 0.344
1 1 0.60037037037037
0 0 0.612208588957055
0 0 0.93801724137931
0 0 0.992758620689655
0 0 0.632142857142857
0 0 0.998767123287671
0 0 0.995025983667409
0 0 0.930348837209302
0 0 0.609098360655738
0 0 0.947493403693931
0 0 0.66935960591133
0 0 0.658103151862464
0 0 0.649535135135135
0 0 0.933779069767442
1 1 0.822692307692308
1 0 0.635379746835443
0 0 0.463052884615385
1 0 0.548449367088608
0 0 0.414143580577897
0 0 0.670096153846154
1 0 0.703904004106776
0 0 0.215305785123967
0 0 0.859198564593301
0 0 0.688892376681614
0 0 0.717190426638918
0 0 0.885932611311673
0 1 0.679936507936508
0 0 0.807033147632312
0 0 0.733072625698324
0 0 0.427345454545455
1 0 0.273333333333333
1 1 0.883333333333333
0 0 0.660549019607843
1 1 0.922258064516129
0 0 0.727111470113086
0 0 0.895098360655738
0 0 0.970583333333333
0 0 0.772798459563543
1 0 0.912789634146341
1 1 0.726105263157895
0 0 0.902759805903761
0 0 0.877172222222222
0 0 0.967666666666667
0 0 0.799125581395349
0 0 0.924859154929578
0 0 0.894132231404959
0 0 0.806404833836858
0 0 0.698392857142857
1 1 0.9
0 0 0.993937153419593
1 1 0.992222222222222
1 1 0.9875
0 0 0.9992
-------------- Próxima Parte ----------
setwd("your working directory")

balls<-read.table("balls.txt")

f.balls<-function(b){

### test the effect of ball size on the hability to know the color or the balls

	prec<-numeric(101)

	size<-seq(0,1,by=0.01)

	p_val<-numeric(101)

	dim.uni<-numeric(101)

	rug<-b[b[,"rug"]>=1,]
	
	for (i in 1:101){ 

		prec[i]<-sum(b[,"col"]>=1 & b[,"rug"]>=1 & d[,"siz"]<=size[i])/(sum(b[,"rug"]>=1 & d[,"siz"]<=size[i]))

		prec_al<-numeric(999)

		dim.uni[i]<-(sum(b[,"rug"]>=1 & d[,"siz"]<=size[i]))		

		for (j in 1:999){

			b.al<-rug[sample(nrow(rug),size=dim.uni[i]),]

			prec.al[j]<-sum(d.al[,"col"]>=1 & d.al[,14]>=ier)/(sum(d.al[,14]>=ier))		
			
		}#eof for j
							
		p_val[i]<-(sum(prec.al>=prec[i])+1)/1000

	}#eof for i

return(list(prec=prec,p_val=p_val,dim.uni=dim.uni))

}

b.test<-f.balls(balls)

b.test$p_value

b.test$prec

b.test$dim.uni

plot(b.test$p_value)




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