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How to create the random sample by defining the probabilities for each unit in R?
The random sample can be created by using sample function, this random sample gives equal chance for each unit to be selected in the sample, hence it is called simple random sample. If we want to have a sample where each unit has different chance of being selected in the sample then we need to use the argument prob as shown in the below examples.
Example1
x1<−sample(c(1,2,3,4,5),150,replace=TRUE,prob=c(0.1,0.2,0.2,0.2,0.3)) x1
Output
[1] 3 5 1 5 5 2 4 3 5 2 4 1 4 2 3 4 4 5 2 5 1 1 5 5 3 5 4 2 1 1 5 3 5 4 2 5 2 [38] 5 4 2 3 4 5 3 5 1 4 5 2 4 1 4 5 3 3 5 5 4 5 3 5 4 5 4 3 4 5 3 2 3 3 4 3 2 [75] 3 4 5 4 2 5 2 4 4 4 4 5 3 4 5 5 2 4 2 2 2 4 4 2 5 3 2 5 1 2 3 5 1 3 1 2 3 [112] 3 2 4 5 4 1 3 5 4 4 3 5 1 1 5 2 2 2 4 3 4 4 5 4 5 5 5 5 3 2 3 5 5 5 2 4 3 [149] 5 5
Example
table(x1)
Output
x1 1 2 3 4 5 14 27 28 36 45
Example2
x2<−sample(1:5,150,replace=TRUE,prob=c(0.1,0.2,0.2,0.2,0.3)) x2
Output
[1] 5 2 5 2 3 4 3 4 5 3 3 2 5 2 5 4 4 3 5 2 1 5 5 5 2 5 2 5 5 5 2 4 3 4 4 4 3 [38] 2 5 5 5 2 2 4 4 5 2 2 3 5 5 5 4 3 4 5 5 3 3 3 3 2 3 2 4 5 3 3 2 5 1 5 5 2 [75] 2 3 3 4 3 5 4 5 5 5 4 4 5 4 3 3 3 2 2 4 5 3 5 5 5 5 2 2 5 3 3 5 2 3 4 5 4 [112] 4 5 4 3 2 3 2 4 5 1 2 1 3 5 2 4 4 3 3 4 1 3 1 5 5 5 4 1 1 2 1 5 3 3 1 5 1 [149] 4 5
Example
table(x2)
Output
x2 1 2 3 4 5 11 28 34 29 48
Example3
x3<−sample(0:9,200,replace=TRUE,prob=c(rep(1/10,10))) x3
Output
[1] 4 0 9 3 2 5 7 7 2 0 1 3 4 5 1 0 2 8 4 2 7 2 8 9 4 1 5 6 0 6 0 3 7 8 9 2 7 [38] 3 7 2 0 1 8 3 6 7 2 0 4 3 6 6 7 9 4 3 0 3 6 2 0 1 5 1 5 9 5 4 6 6 2 9 5 5 [75] 4 1 7 9 3 1 6 7 5 0 9 6 8 0 4 0 5 6 0 8 4 3 8 4 2 2 0 8 5 2 9 0 6 8 8 8 6 [112] 2 9 8 8 3 1 5 5 9 8 1 0 9 4 2 2 0 4 0 4 2 8 2 6 9 9 1 5 6 6 3 0 9 9 5 6 2 [149] 0 4 4 8 7 7 4 7 6 4 1 1 2 8 3 1 6 9 2 6 1 1 0 2 3 2 8 6 2 8 5 2 9 9 3 3 9 [186] 4 8 0 1 6 5 8 3 7 0 8 8 7 5 8
Example
table(x3)
Output
x3 0 1 2 3 4 5 6 7 8 9 23 17 25 17 19 18 22 15 24 20
Example4
x4<−sample(0:9,400,replace=TRUE,prob=c(rep(1/10,10))) x4
Output
[1] 5 1 0 5 8 1 6 2 3 7 8 3 2 8 9 7 3 3 0 4 5 9 4 2 3 4 8 8 0 3 4 2 5 0 8 6 7 [38] 2 2 7 8 3 2 1 9 8 3 7 0 4 6 5 4 9 5 3 7 7 1 6 4 7 0 8 7 6 4 2 2 4 8 7 4 5 [75] 7 1 3 1 1 6 6 4 7 5 1 1 5 0 0 1 7 8 6 6 0 6 5 3 2 8 3 3 5 0 2 8 1 4 7 0 6 [112] 7 7 3 6 7 9 7 3 4 8 7 1 9 8 2 5 8 3 3 4 7 0 5 7 2 9 8 4 7 5 0 1 5 9 5 8 2 [149] 0 0 0 2 5 2 0 8 5 0 9 6 8 0 0 2 2 8 1 5 8 3 3 6 5 1 3 5 2 7 5 5 3 7 0 0 5 [186] 9 6 7 4 3 8 1 4 2 3 6 7 9 0 5 6 3 7 7 5 7 8 8 0 2 0 9 7 8 2 4 2 7 3 5 1 1 [223] 2 1 9 2 0 8 8 6 1 1 6 7 4 3 1 1 0 9 4 5 8 1 0 2 6 5 6 8 4 0 8 0 0 6 7 7 4 [260] 2 9 6 2 7 6 2 5 3 0 7 8 3 1 6 7 0 5 5 2 6 8 6 8 2 5 7 7 4 7 3 7 2 1 1 7 4 [297] 3 7 9 9 9 6 5 4 4 2 0 5 1 4 2 7 4 7 5 8 0 7 6 7 1 6 5 3 5 6 4 3 3 2 4 7 5 [334] 1 8 3 1 6 1 8 5 5 0 9 7 6 0 6 2 7 1 2 4 9 8 3 0 7 8 2 9 6 2 3 4 1 1 6 5 6 [371] 1 6 1 0 7 5 1 3 8 6 9 2 2 1 7 2 3 1 5 4 7 2 0 7 9 5 0 8 6 9
Example
table(x4)
Output
x4 0 1 2 3 4 5 6 7 8 9 41 40 43 38 33 45 40 55 41 24
Example5
x5<−sample(1:100,200,replace=TRUE,prob=c(rep(1/100,100))) x5
Output
[1] 55 42 48 27 55 1 69 41 83 20 65 83 55 24 30 52 38 98 [19] 82 9 3 27 58 100 3 90 60 79 71 96 4 42 35 73 31 29 [37] 94 13 92 15 35 1 61 73 14 46 98 69 72 5 41 54 81 9 [55] 74 86 72 88 54 37 55 9 7 3 9 69 100 65 73 85 64 33 [73] 50 76 15 19 13 57 42 9 1 58 78 95 6 43 35 48 8 69 [91] 44 4 82 52 1 37 88 74 50 52 25 27 28 74 83 52 60 87 [109] 84 97 62 15 98 30 92 44 76 33 72 62 98 37 59 40 16 44 [127] 26 67 46 91 23 31 100 80 18 42 51 45 44 85 97 3 87 65 [145] 62 51 36 51 18 55 20 15 53 84 6 61 40 23 24 67 28 55 [163] 86 52 13 28 36 22 50 67 79 33 31 43 86 43 73 26 89 29 [181] 52 36 6 12 40 44 4 65 92 16 33 86 76 21 62 64 94 25 [199] 52 33
Example
table(x5)
Output
x5 1 3 4 5 6 7 8 9 12 13 14 15 16 18 19 20 21 22 23 24 4 4 3 1 3 1 1 5 1 3 1 4 2 2 1 2 1 1 2 2 25 26 27 28 29 30 31 33 35 36 37 38 40 41 42 43 44 45 46 48 2 2 3 3 2 2 3 5 3 3 3 1 3 2 4 3 5 1 2 2 50 51 52 53 54 55 57 58 59 60 61 62 64 65 67 69 71 72 73 74 3 3 7 1 2 6 1 2 1 2 2 4 2 4 3 4 1 3 4 3 76 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 94 95 96 97 3 1 2 1 1 2 3 2 2 4 2 2 1 1 1 3 2 1 1 2 98 100 4 3
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