boot.mean: Bootstrapped Mean

In sur: Companion to "Statistics Using R: An Integrative Approach"

Description

Function to obtain a sampling distribution of means by bootstrapping.

Usage

boot.mean(x, B, n = length(x))

Arguments

x	original sample, given as a numeric or logical object, to be used to generate bootstrapped samples.
B	number of bootstrapped samples to be generated by randomly sampling with replacement.
n	size of each bootstrapped sample. Default setting is the size of the original sample.

Value

A list with components:

Replications	number of bootstrapped means computed.
mean	mean of bootstrapped means.
se	standard error, estimated as the standard deviation of bootstrapped means.
bootstrap.samples	means of bootstrapped samples.

Examples

# using simple vector
a = 1:10
set.seed(1234)
boot.mean(a, B = 500)

# using variable from data frame
set.seed(1234)
boot.mean(Framingham$AGE3, B = 1000)

Example output

$Replications
[1] 500

$mean
[1] 5.5296

$se
[1] 0.9301689

$bootstrap.samples
  [1] 6.0 6.1 5.5 5.1 5.5 6.9 6.1 5.4 5.5 4.7 6.3 5.9 5.8 5.7 5.2 5.7 4.7 6.1
 [19] 5.7 4.0 5.7 5.8 4.4 5.9 5.8 5.1 5.7 5.4 4.7 5.3 4.9 5.9 6.1 4.9 5.0 4.3
 [37] 7.7 6.8 5.1 4.5 5.1 5.0 6.0 6.0 3.7 5.8 5.7 6.4 6.1 6.4 5.4 3.0 5.3 5.6
 [55] 5.5 5.3 5.0 5.0 6.7 4.9 5.1 5.9 5.4 5.0 5.4 5.1 5.8 5.0 5.2 4.4 5.6 6.0
 [73] 3.8 5.7 6.2 5.8 7.0 6.0 5.0 6.4 5.6 3.8 5.5 4.7 4.3 5.1 5.3 7.3 5.3 4.8
 [91] 4.4 4.5 5.7 4.8 5.9 6.3 5.7 6.2 5.8 5.0 6.5 4.9 5.0 4.6 5.2 6.7 5.2 5.4
[109] 6.0 6.0 3.7 7.0 5.8 5.4 6.3 5.4 5.2 7.4 5.0 5.5 6.5 5.1 6.4 4.4 5.3 3.7
[127] 4.2 3.8 6.3 5.5 5.4 6.6 5.4 5.1 6.9 6.5 6.5 5.3 4.7 5.8 5.8 4.7 6.8 6.6
[145] 7.0 6.7 4.2 5.3 4.4 4.8 4.4 4.6 5.1 5.7 5.6 5.9 5.7 7.0 6.4 6.1 5.2 3.9
[163] 4.8 7.8 5.3 5.3 4.8 6.1 5.7 4.9 4.6 6.5 6.7 5.3 6.9 5.4 5.2 4.8 5.2 7.4
[181] 5.9 6.8 4.7 4.5 6.0 6.5 3.4 4.4 5.3 5.5 5.0 7.4 5.8 3.3 5.2 5.3 5.4 5.8
[199] 4.7 4.6 4.4 4.5 4.6 5.2 6.0 5.7 5.1 7.6 4.9 4.6 5.6 5.7 7.0 4.5 6.0 4.4
[217] 6.1 6.4 6.2 6.2 5.1 5.7 4.5 3.3 5.4 6.7 7.0 6.2 5.6 6.0 5.4 6.2 4.3 4.9
[235] 3.5 5.1 6.0 6.8 5.0 7.4 6.9 5.5 5.9 6.8 4.5 4.4 6.4 5.9 4.8 6.0 7.0 7.0
[253] 5.5 5.4 5.5 4.9 4.9 6.3 6.7 3.8 4.9 5.1 5.6 6.4 5.7 5.2 6.1 5.1 4.3 5.1
[271] 7.1 6.7 5.7 5.4 3.9 6.5 7.4 5.0 4.2 5.8 5.1 6.4 4.6 5.4 6.2 5.3 6.5 4.6
[289] 6.0 5.7 6.2 7.0 5.4 6.3 5.9 6.5 5.5 4.5 6.5 5.4 5.3 4.6 7.1 7.4 4.9 6.4
[307] 5.0 5.2 5.5 5.7 6.4 5.5 6.7 4.9 5.1 2.9 4.9 7.3 3.6 3.1 5.0 4.4 6.2 5.4
[325] 6.4 5.9 6.0 6.3 5.9 6.7 5.8 5.7 6.9 6.0 4.9 6.9 4.5 4.6 5.0 5.7 6.3 5.7
[343] 7.6 5.3 5.6 5.5 6.5 6.6 7.5 5.8 5.8 5.8 4.8 4.5 4.7 5.4 5.2 7.0 7.5 6.3
[361] 6.4 5.8 4.1 5.2 6.6 7.0 3.5 6.0 6.6 5.3 6.2 5.3 3.9 6.2 5.5 4.3 6.5 6.4
[379] 5.1 4.9 5.4 3.5 6.4 6.2 6.8 5.1 5.9 5.4 4.8 4.3 4.0 7.0 6.4 5.2 6.1 5.5
[397] 5.1 5.3 5.7 4.6 5.9 5.7 7.5 5.2 6.9 5.1 5.9 4.5 5.8 6.0 6.0 5.7 5.7 6.3
[415] 3.5 3.6 6.5 7.2 4.7 5.3 5.4 5.6 6.2 5.4 6.8 6.8 5.4 6.2 5.2 8.0 3.7 4.9
[433] 6.7 3.8 5.5 6.3 5.4 5.6 4.3 4.4 5.6 6.8 5.2 6.2 5.2 5.2 4.6 4.9 5.7 6.7
[451] 6.2 5.9 5.0 6.4 5.7 4.0 7.8 3.4 6.7 4.6 5.5 5.5 5.0 4.7 5.6 6.3 4.2 4.3
[469] 4.1 6.1 5.3 4.7 5.2 3.7 5.4 5.6 5.4 4.7 4.7 6.4 5.0 4.5 4.5 3.5 5.0 6.0
[487] 3.0 6.6 5.1 6.2 5.1 6.4 6.7 4.2 6.4 5.8 4.9 6.6 6.1 6.4

$Replications
[1] 1000

$mean
[1] 59.89488

$se
[1] 0.4779897

$bootstrap.samples
   [1] 59.48377 60.33442 60.00974 59.60714 59.50974 60.86688 59.17208 60.35714
   [9] 59.92208 60.39935 59.94156 60.45455 59.52273 60.23377 60.46429 59.99351
  [17] 59.54221 60.30195 59.58117 60.41883 59.99026 58.80844 59.36039 60.14610
  [25] 60.24026 59.96104 60.14935 59.39935 58.96429 59.80844 60.34091 60.28571
  [33] 60.74675 60.69805 59.27273 59.97727 59.72727 59.72727 59.96429 60.14286
  [41] 59.52922 60.37338 60.21429 59.91883 59.98052 59.44156 60.01623 59.68506
  [49] 60.09740 59.69156 59.68831 60.32143 59.40584 60.12662 60.51948 59.32143
  [57] 59.74026 60.27273 59.36039 59.83766 59.85390 60.03896 60.05195 59.96104
  [65] 59.79221 60.15260 60.37013 60.25325 60.32468 60.43182 59.29221 59.97727
  [73] 60.13312 59.13961 60.61039 59.95130 60.28247 58.79545 60.66883 60.12013
  [81] 59.80844 59.44805 60.61364 59.76948 60.20455 59.96753 60.62338 59.92857
  [89] 59.70779 59.73052 58.61688 60.01299 59.59740 60.07468 60.26623 60.41883
  [97] 59.02273 60.49675 59.80195 59.57468 60.24351 59.73052 60.27273 59.70779
 [105] 59.47078 60.04545 60.12338 60.47078 60.94805 60.49675 60.66234 59.59091
 [113] 60.10714 59.26948 59.62662 59.74026 59.55519 60.19481 60.84740 59.87662
 [121] 60.14286 60.09091 58.69805 60.24351 59.33766 60.85714 60.36688 59.15909
 [129] 59.65584 59.79221 59.77273 59.37013 59.25649 60.07468 59.96429 59.76623
 [137] 60.49675 59.34416 60.27597 60.00649 59.36688 60.45455 59.83766 60.25974
 [145] 59.65584 60.30844 60.01299 59.56818 59.05519 60.24026 60.24026 60.63961
 [153] 61.15909 60.26948 59.93831 60.65584 60.73052 59.36688 60.04545 60.03571
 [161] 59.93182 60.89610 60.31169 60.17857 59.79221 59.97727 60.10714 59.75325
 [169] 59.87013 59.87013 60.45130 59.79545 59.76948 59.69481 59.65260 60.58442
 [177] 60.37338 59.58442 59.67208 59.27922 59.85390 59.67857 59.72078 59.83766
 [185] 60.65584 60.25325 59.53247 59.82143 59.73052 59.15584 59.27922 59.40909
 [193] 60.36039 60.02597 60.11688 59.21429 59.25649 60.05195 60.30844 59.72078
 [201] 60.10390 59.34740 59.09740 60.42208 59.62338 60.02922 59.90260 59.71753
 [209] 59.37662 60.34416 58.75000 59.55195 59.48052 59.53247 60.17208 59.82468
 [217] 59.99351 59.62013 59.60390 59.37013 59.90584 59.34416 59.90260 60.38312
 [225] 60.23052 60.81818 59.00649 59.75325 59.47727 60.01623 59.22078 59.36039
 [233] 59.49675 59.88312 59.82468 59.77597 60.75974 59.77922 59.93831 59.61688
 [241] 59.78247 60.43182 60.01623 59.73052 60.22078 60.44481 59.94156 59.52922
 [249] 60.11364 59.97727 60.83442 60.40909 60.15909 59.83117 58.94156 60.22403
 [257] 59.44156 60.92532 60.12662 59.71429 60.79221 60.51623 59.86688 60.86688
 [265] 59.71104 60.12662 59.32468 59.91883 59.23052 59.91883 59.95779 59.54545
 [273] 60.78571 59.65909 59.65909 59.12662 59.57792 59.45455 59.83766 59.57792
 [281] 60.16883 59.51299 59.31169 59.86364 59.76948 60.18182 60.79545 59.82468
 [289] 60.03247 59.66883 59.96753 60.72078 60.30844 60.04545 58.95455 60.43506
 [297] 59.15909 59.59740 58.91234 59.08442 59.89610 59.39935 59.37662 59.19481
 [305] 60.47727 59.86364 60.24026 60.07468 60.80519 59.61688 58.51948 60.07143
 [313] 60.14286 60.25000 59.55519 60.03896 60.45455 59.88961 59.99351 59.19805
 [321] 59.80519 60.36364 60.01623 59.88312 59.40584 59.36364 59.10714 59.63312
 [329] 59.48701 60.03896 59.79221 59.69156 60.43506 59.82468 59.49675 60.60390
 [337] 60.12338 59.60065 59.75649 60.13312 60.17208 59.83766 60.10065 60.12338
 [345] 60.49675 59.78247 60.19481 59.84740 59.60714 60.15584 59.62338 60.08766
 [353] 59.87987 60.17208 59.56818 60.11688 59.83442 59.52597 58.86364 59.78247
 [361] 60.17857 59.73052 60.90260 59.64935 60.58766 60.21104 59.95455 59.28896
 [369] 60.28571 60.01299 59.68831 59.22078 58.98701 59.73701 59.75974 60.02273
 [377] 59.12987 59.63636 60.61688 59.78896 60.15260 59.36688 59.71104 59.55519
 [385] 59.40584 60.40909 60.68506 59.18506 59.88312 59.83442 59.58442 60.53571
 [393] 60.30195 60.53247 60.66558 60.42532 59.26299 60.02273 59.06818 59.33766
 [401] 60.70779 60.13636 60.42532 59.52922 59.97078 59.46753 60.06494 59.57792
 [409] 60.15909 60.09740 59.78571 59.75325 59.77922 60.25000 59.50974 59.71753
 [417] 61.26299 59.66558 60.08442 59.64286 59.48701 59.37987 59.39286 60.04870
 [425] 59.92208 60.00974 60.08766 60.57792 59.57143 59.94481 60.04221 60.09416
 [433] 59.49351 59.64286 59.81494 59.28571 59.59740 59.29221 60.10390 59.47078
 [441] 60.03571 59.25649 60.35390 60.72727 59.97078 59.72078 59.27273 60.25000
 [449] 59.27922 59.57468 59.87662 60.37662 60.30519 59.54870 59.80519 59.56169
 [457] 60.32468 58.67857 60.69156 59.88961 60.60714 60.15260 59.60065 60.00649
 [465] 60.57143 59.59740 60.12662 59.80195 59.20779 59.60065 60.06169 59.46753
 [473] 59.87338 60.30519 59.32143 59.97727 59.16883 59.42857 60.45455 59.86688
 [481] 59.81169 59.90260 59.39610 60.43182 59.57468 59.21753 59.93182 59.26948
 [489] 60.82468 60.21753 59.96429 60.22727 60.03571 59.54545 59.36688 59.91883
 [497] 59.50974 59.36039 59.89286 60.16558 60.04545 59.99026 59.59740 59.80844
 [505] 59.93506 59.20455 59.97078 59.53571 60.00649 58.59091 59.55195 59.74675
 [513] 59.41883 59.98701 60.27273 59.88636 59.78571 60.73052 59.71429 60.63961
 [521] 59.48701 58.98377 59.47078 59.56494 59.10065 60.00974 60.11364 59.72727
 [529] 60.29221 60.33766 59.16883 59.76623 59.76948 61.04221 60.22403 60.91234
 [537] 59.14610 58.98701 59.99026 59.97403 60.22727 59.94805 60.13312 59.48701
 [545] 60.89286 60.36688 60.02922 59.74026 60.06169 61.82468 58.88636 59.60390
 [553] 59.38636 60.36688 60.54870 60.36039 58.92532 59.55519 59.91234 59.90260
 [561] 59.29545 60.13312 60.09416 59.91883 59.84740 60.41234 60.07143 60.34740
 [569] 59.93831 59.53247 59.70779 60.19805 59.83442 60.44805 59.87013 60.61039
 [577] 59.37662 59.69156 60.18182 58.87987 60.21104 59.75000 59.67532 60.35714
 [585] 59.78247 59.25974 60.62013 60.50325 60.70130 60.16558 59.72403 60.67857
 [593] 60.11688 59.71753 60.08766 59.25974 60.18182 60.28247 59.74351 59.92857
 [601] 59.85714 60.06818 60.66558 60.63312 59.58766 60.01948 60.07792 60.49351
 [609] 59.18831 60.10714 59.16558 59.44481 59.81169 59.71104 59.45455 60.36364
 [617] 60.05195 60.12662 59.73052 59.50649 59.99675 60.52922 60.36688 59.17857
 [625] 59.94156 59.23701 59.87338 58.98701 60.11039 59.93831 59.86688 60.05844
 [633] 59.16883 59.91234 59.54545 59.83117 60.09740 59.78571 60.53571 59.89610
 [641] 59.62338 60.43831 59.50649 60.04545 58.97403 59.64935 59.80195 60.77597
 [649] 59.34091 60.11688 59.29870 59.76623 59.57143 60.25974 59.92857 60.42532
 [657] 59.32468 59.70455 59.65260 59.47078 59.94805 59.95455 59.93506 60.46753
 [665] 59.83442 60.19481 59.55844 59.94805 58.71429 59.55844 59.32143 59.20130
 [673] 59.36364 59.37662 59.37987 60.62013 59.79545 59.97727 60.69805 59.33442
 [681] 60.36039 59.79545 60.13961 58.78571 59.71753 60.05195 59.00974 59.77922
 [689] 60.35714 59.72727 59.82792 59.50325 59.92857 59.81169 59.68831 60.37662
 [697] 60.22078 59.49675 60.20130 58.97403 60.11688 59.96753 60.62338 59.72078
 [705] 60.18831 59.45130 60.34416 60.45779 60.34740 59.33442 59.94156 59.69156
 [713] 59.92208 60.23701 60.22078 60.18831 59.54221 60.08117 60.43182 59.44481
 [721] 59.51948 60.34740 60.09416 59.82143 60.03571 59.57143 60.08117 59.50974
 [729] 59.34091 59.46104 60.34740 59.94156 59.83117 60.36688 59.94156 59.37662
 [737] 60.38961 59.78896 60.23052 59.84416 59.75649 59.35714 59.70130 59.47403
 [745] 59.30195 59.54221 59.13636 60.09416 59.26299 60.34416 59.94481 59.07143
 [753] 59.70130 59.19805 59.35714 59.35390 60.63961 59.80844 59.57143 58.87987
 [761] 59.97403 60.50649 58.96104 59.56169 59.61364 60.21753 59.51299 59.30844
 [769] 60.21429 60.12338 58.69481 60.01948 60.09416 60.04221 60.31818 59.91883
 [777] 59.62662 59.27273 60.38961 59.85390 60.90584 60.25325 59.93831 60.84740
 [785] 59.40909 59.14610 59.93182 59.90584 60.19156 60.01948 60.15584 60.03247
 [793] 59.80844 60.52922 59.51948 59.64610 59.78247 59.49351 60.67857 60.54870
 [801] 60.12987 60.35390 60.33766 58.87987 60.51948 59.64935 60.08117 59.25325
 [809] 59.85390 59.83117 59.81494 60.51948 59.37013 59.17208 60.62987 59.64286
 [817] 58.93506 60.27922 58.89935 58.82143 58.87013 59.84091 60.10714 59.73701
 [825] 60.08442 61.08442 59.87338 60.08766 60.63312 59.54545 60.14286 59.76299
 [833] 60.45130 61.08766 60.39610 59.87662 60.78896 59.38312 60.40909 60.12338
 [841] 59.82792 60.41883 59.96753 59.85390 59.57468 60.13312 60.09091 59.67857
 [849] 60.39286 59.00649 60.14610 59.91558 59.36039 60.12662 60.30844 60.66883
 [857] 59.88636 60.27922 59.26948 59.90584 60.17532 59.74675 60.77922 59.06169
 [865] 60.03247 60.14610 60.51948 59.74026 60.46429 59.59740 60.00649 59.26623
 [873] 60.06818 60.20779 59.18182 59.53247 60.68506 60.08117 60.09416 59.90584
 [881] 59.94805 59.35714 59.44156 59.86364 60.14610 59.99026 60.50974 59.29221
 [889] 59.73377 60.63636 60.27922 59.92208 59.66558 60.55844 59.12013 60.25000
 [897] 60.52273 60.49351 60.56169 59.80195 59.70779 59.92857 59.90260 60.50325
 [905] 59.77597 60.17208 60.06169 59.64286 59.62338 59.77597 59.90909 60.59416
 [913] 58.64610 59.51948 60.53247 59.37987 60.16883 59.57792 60.77273 59.61039
 [921] 60.68506 59.98701 60.34416 59.57468 59.86688 58.97078 60.61688 59.67208
 [929] 60.66234 60.81818 61.06169 60.27922 60.36039 60.45130 59.75325 60.55519
 [937] 59.80195 60.15260 59.95455 60.42208 59.40260 59.84091 59.71753 60.54870
 [945] 59.54221 61.04221 60.12987 59.88961 60.51299 59.30844 59.30844 59.97078
 [953] 60.79545 60.57792 60.45130 60.17532 60.06494 59.40584 60.26623 59.36364
 [961] 59.04221 59.34416 59.01623 59.84416 60.18831 60.09091 60.41883 60.31169
 [969] 59.66234 58.85714 59.82792 59.69805 59.54870 59.86688 59.37013 60.11688
 [977] 59.75325 59.55519 59.64935 60.04870 58.99675 59.57792 60.58766 58.89610
 [985] 60.50325 59.93831 59.44805 59.95130 59.19481 60.05195 59.35390 60.01623
 [993] 59.71429 60.70455 59.89610 59.79221 59.91883 60.79545 60.26623 59.60065

sur documentation built on Aug. 26, 2020, 1:06 a.m.