Alexander Matrunich, a data analyst @Bolt
Tallinn R users meetup. 2019-09-24
1178 participants total, 351 #RLadies, 5 gender diverse, 5 kids, 184 students, 331 academics and 509 participants from the industry. 151 oral presentations, 71 flash presentations and 94 posters (among 467 submitted abstracts). A useR! participant emitted 720 kg CO2 for transportation.
1993: R, a free open source implementation of S.
2005: Hadley Wickham published reshape package and then ggplot.
RStudio IDE realized in 2011. Hadley joined Rstudio Inc. as Chief Scientist in 2014. RStudio team contributes to tidyverse and promotes it.
(reshape, ggplot) -> (reshape2, ggplot2) -> (dplyr, tidyr, purrr, !ggvis) -> tidyverse
head(iris[iris$Species == "setosa", "Sepal.Length"])
[1] 5.1 4.9 4.7 4.6 5.0 5.4
library(dplyr)
iris %>%
filter(Species == "setosa") %>%
select(Sepal.Length) %>%
sample_n(5)
Sepal.Length
1 4.7
2 5.4
3 5.4
4 4.9
5 5.1
fit1 <- lm(Sepal.Width ~ Sepal.Length, data = iris)
summary(fit1)
Call:
lm(formula = Sepal.Width ~ Sepal.Length, data = iris)
Residuals:
Min 1Q Median 3Q Max
-1.1095 -0.2454 -0.0167 0.2763 1.3338
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 3.41895 0.25356 13.48 <2e-16 ***
Sepal.Length -0.06188 0.04297 -1.44 0.152
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
Residual standard error: 0.4343 on 148 degrees of freedom
Multiple R-squared: 0.01382, Adjusted R-squared: 0.007159
F-statistic: 2.074 on 1 and 148 DF, p-value: 0.1519
library(broom)
tidy(fit1)
| term | estimate | std.error | statistic | p.value |
|---|---|---|---|---|
| (Intercept) | 3.4189468 | 0.2535623 | 13.483658 | 0.0000000 |
| Sepal.Length | -0.0618848 | 0.0429670 | -1.440287 | 0.1518983 |
glance(fit1)
| r.squared | adj.r.squared | sigma | statistic | p.value | df | logLik | AIC | BIC | deviance | df.residual |
|---|---|---|---|---|---|---|---|---|---|---|
| 0.0138227 | 0.0071593 | 0.4343032 | 2.074427 | 0.1518983 | 2 | -86.73221 | 179.4644 | 188.4963 | 27.91566 | 148 |
augment(fit1)
| Sepal.Width | Sepal.Length | .fitted | .se.fit | .resid | .hat | .sigma | .cooksd | .std.resid |
|---|---|---|---|---|---|---|---|---|
| 3.5 | 5.1 | 3.103334 | 0.0477237 | 0.3966656 | 0.0120748 | 0.4345331 | 0.0051602 | 0.9189026 |
| 3.0 | 4.9 | 3.115711 | 0.0538546 | -0.1157113 | 0.0153766 | 0.4356718 | 0.0005629 | -0.2685021 |
| 3.2 | 4.7 | 3.128088 | 0.0605870 | 0.0719117 | 0.0194613 | 0.4357368 | 0.0002775 | 0.1672146 |
| 3.1 | 4.6 | 3.134277 | 0.0641202 | -0.0342768 | 0.0217974 | 0.4357686 | 0.0000709 | -0.0797981 |
| 3.6 | 5.0 | 3.109523 | 0.0506998 | 0.4904772 | 0.0136278 | 0.4338701 | 0.0089324 | 1.1371174 |
| 3.9 | 5.4 | 3.084769 | 0.0402531 | 0.8152311 | 0.0085904 | 0.4305138 | 0.0153976 | 1.8852159 |
| 3.4 | 4.6 | 3.134277 | 0.0641202 | 0.2657232 | 0.0217974 | 0.4352142 | 0.0042637 | 0.6186173 |
| 3.4 | 5.0 | 3.109523 | 0.0506998 | 0.2904772 | 0.0136278 | 0.4351098 | 0.0031329 | 0.6734394 |
| 2.9 | 4.4 | 3.146654 | 0.0714381 | -0.2466537 | 0.0270567 | 0.4352896 | 0.0046095 | -0.5757724 |
| 3.1 | 4.9 | 3.115711 | 0.0538546 | -0.0157113 | 0.0153766 | 0.4357760 | 0.0000104 | -0.0364573 |
| 3.7 | 5.4 | 3.084769 | 0.0402531 | 0.6152311 | 0.0085904 | 0.4327877 | 0.0087694 | 1.4227174 |
| 3.4 | 4.8 | 3.121900 | 0.0571585 | 0.2781002 | 0.0173211 | 0.4351632 | 0.0036774 | 0.6459552 |
| 3.0 | 4.8 | 3.121900 | 0.0571585 | -0.1218998 | 0.0173211 | 0.4356599 | 0.0007065 | -0.2831419 |
| 3.0 | 4.3 | 3.152842 | 0.0751984 | -0.1528422 | 0.0299799 | 0.4355899 | 0.0019731 | -0.3573221 |
| 4.0 | 5.8 | 3.060015 | 0.0355096 | 0.9399850 | 0.0066850 | 0.4287788 | 0.0158692 | 2.1716227 |
| 4.4 | 5.7 | 3.066203 | 0.0359915 | 1.3337965 | 0.0068678 | 0.4215645 | 0.0328370 | 3.0817185 |
| 3.9 | 5.4 | 3.084769 | 0.0402531 | 0.8152311 | 0.0085904 | 0.4305138 | 0.0153976 | 1.8852159 |
| 3.5 | 5.1 | 3.103334 | 0.0477237 | 0.3966656 | 0.0120748 | 0.4345331 | 0.0051602 | 0.9189026 |
| 3.8 | 5.7 | 3.066203 | 0.0359915 | 0.7337965 | 0.0068678 | 0.4315253 | 0.0099388 | 1.6954268 |
| 3.8 | 5.1 | 3.103334 | 0.0477237 | 0.6966656 | 0.0120748 | 0.4319264 | 0.0159172 | 1.6138728 |
| 3.4 | 5.4 | 3.084769 | 0.0402531 | 0.3152311 | 0.0085904 | 0.4349949 | 0.0023022 | 0.7289696 |
| 3.7 | 5.1 | 3.103334 | 0.0477237 | 0.5966656 | 0.0120748 | 0.4329561 | 0.0116756 | 1.3822161 |
| 3.6 | 4.6 | 3.134277 | 0.0641202 | 0.4657232 | 0.0217974 | 0.4340438 | 0.0130974 | 1.0842275 |
| 3.3 | 5.1 | 3.103334 | 0.0477237 | 0.1966656 | 0.0120748 | 0.4354723 | 0.0012685 | 0.4555892 |
| 3.4 | 4.8 | 3.121900 | 0.0571585 | 0.2781002 | 0.0173211 | 0.4351632 | 0.0036774 | 0.6459552 |
| 3.0 | 5.0 | 3.109523 | 0.0506998 | -0.1095228 | 0.0136278 | 0.4356830 | 0.0004454 | -0.2539167 |
| 3.4 | 5.0 | 3.109523 | 0.0506998 | 0.2904772 | 0.0136278 | 0.4351098 | 0.0031329 | 0.6734394 |
| 3.5 | 5.2 | 3.097146 | 0.0449616 | 0.4028541 | 0.0107176 | 0.4344956 | 0.0047113 | 0.9325983 |
| 3.4 | 5.2 | 3.097146 | 0.0449616 | 0.3028541 | 0.0107176 | 0.4350537 | 0.0026626 | 0.7011005 |
| 3.2 | 4.7 | 3.128088 | 0.0605870 | 0.0719117 | 0.0194613 | 0.4357368 | 0.0002775 | 0.1672146 |
| 3.1 | 4.8 | 3.121900 | 0.0571585 | -0.0218998 | 0.0173211 | 0.4357741 | 0.0000228 | -0.0508676 |
| 3.4 | 5.4 | 3.084769 | 0.0402531 | 0.3152311 | 0.0085904 | 0.4349949 | 0.0023022 | 0.7289696 |
| 4.1 | 5.2 | 3.097146 | 0.0449616 | 1.0028541 | 0.0107176 | 0.4277694 | 0.0291955 | 2.3215848 |
| 4.2 | 5.5 | 3.078580 | 0.0384068 | 1.1214196 | 0.0078204 | 0.4257699 | 0.0264832 | 2.5922681 |
| 3.1 | 4.9 | 3.115711 | 0.0538546 | -0.0157113 | 0.0153766 | 0.4357760 | 0.0000104 | -0.0364573 |
| 3.2 | 5.0 | 3.109523 | 0.0506998 | 0.0904772 | 0.0136278 | 0.4357132 | 0.0003040 | 0.2097613 |
| 3.5 | 5.5 | 3.078580 | 0.0384068 | 0.4214196 | 0.0078204 | 0.4343786 | 0.0037399 | 0.9741514 |
| 3.6 | 4.9 | 3.115711 | 0.0538546 | 0.4842887 | 0.0153766 | 0.4339148 | 0.0098608 | 1.1237667 |
| 3.0 | 4.4 | 3.146654 | 0.0714381 | -0.1466537 | 0.0270567 | 0.4356054 | 0.0016296 | -0.3423389 |
| 3.4 | 5.1 | 3.103334 | 0.0477237 | 0.2966656 | 0.0120748 | 0.4350821 | 0.0028864 | 0.6872459 |
| 3.5 | 5.0 | 3.109523 | 0.0506998 | 0.3904772 | 0.0136278 | 0.4345697 | 0.0056614 | 0.9052784 |
| 2.3 | 4.5 | 3.140465 | 0.0677417 | -0.8404652 | 0.0243291 | 0.4300899 | 0.0478568 | -1.9591831 |
| 3.2 | 4.4 | 3.146654 | 0.0714381 | 0.0533463 | 0.0270567 | 0.4357551 | 0.0002156 | 0.1245281 |
| 3.5 | 5.0 | 3.109523 | 0.0506998 | 0.3904772 | 0.0136278 | 0.4345697 | 0.0056614 | 0.9052784 |
| 3.8 | 5.1 | 3.103334 | 0.0477237 | 0.6966656 | 0.0120748 | 0.4319264 | 0.0159172 | 1.6138728 |
| 3.0 | 4.8 | 3.121900 | 0.0571585 | -0.1218998 | 0.0173211 | 0.4356599 | 0.0007065 | -0.2831419 |
| 3.8 | 5.1 | 3.103334 | 0.0477237 | 0.6966656 | 0.0120748 | 0.4319264 | 0.0159172 | 1.6138728 |
| 3.2 | 4.6 | 3.134277 | 0.0641202 | 0.0657232 | 0.0217974 | 0.4357435 | 0.0002608 | 0.1530071 |
| 3.7 | 5.3 | 3.090957 | 0.0424555 | 0.6090426 | 0.0095561 | 0.4328449 | 0.0095786 | 1.4090930 |
| 3.3 | 5.0 | 3.109523 | 0.0506998 | 0.1904772 | 0.0136278 | 0.4354908 | 0.0013471 | 0.4416004 |
| 3.2 | 7.0 | 2.985753 | 0.0610524 | 0.2142467 | 0.0197615 | 0.4354123 | 0.0025025 | 0.4982592 |
| 3.2 | 6.4 | 3.022884 | 0.0427732 | 0.1771159 | 0.0096997 | 0.4355306 | 0.0008225 | 0.4098085 |
| 3.1 | 6.9 | 2.991942 | 0.0576089 | 0.1080583 | 0.0175951 | 0.4356852 | 0.0005643 | 0.2510266 |
| 2.3 | 5.5 | 3.078580 | 0.0384068 | -0.7785804 | 0.0078204 | 0.4309828 | 0.0127656 | -1.7997629 |
| 2.8 | 6.5 | 3.016696 | 0.0453161 | -0.2166956 | 0.0108873 | 0.4354072 | 0.0013852 | -0.5016886 |
| 2.8 | 5.7 | 3.066203 | 0.0359915 | -0.2662035 | 0.0068678 | 0.4352207 | 0.0013080 | -0.6150595 |
| 3.3 | 6.3 | 3.029073 | 0.0405274 | 0.2709274 | 0.0087079 | 0.4351996 | 0.0017242 | 0.6265547 |
| 2.4 | 4.9 | 3.115711 | 0.0538546 | -0.7157113 | 0.0153766 | 0.4316982 | 0.0215367 | -1.6607710 |
| 2.9 | 6.6 | 3.010507 | 0.0481090 | -0.1105072 | 0.0122706 | 0.4356814 | 0.0004072 | -0.2560227 |
| 2.7 | 5.2 | 3.097146 | 0.0449616 | -0.3971459 | 0.0107176 | 0.4345318 | 0.0045787 | -0.9193838 |
| 2.0 | 5.0 | 3.109523 | 0.0506998 | -1.1095228 | 0.0136278 | 0.4259252 | 0.0457090 | -2.5723069 |
| 3.0 | 5.9 | 3.053826 | 0.0355442 | -0.0538265 | 0.0066981 | 0.4357552 | 0.0000521 | -0.1243548 |
| 2.2 | 6.0 | 3.047638 | 0.0360940 | -0.8476380 | 0.0069069 | 0.4300939 | 0.0133385 | -1.9584947 |
| 2.9 | 6.1 | 3.041450 | 0.0371360 | -0.1414496 | 0.0073115 | 0.4356206 | 0.0003935 | -0.3268903 |
| 2.9 | 5.6 | 3.072392 | 0.0369699 | -0.1723920 | 0.0072462 | 0.4355442 | 0.0005792 | -0.3983852 |
| 3.1 | 6.7 | 3.004319 | 0.0511109 | 0.0956813 | 0.0138497 | 0.4357055 | 0.0003456 | 0.2218516 |
| 3.0 | 5.6 | 3.072392 | 0.0369699 | -0.0723920 | 0.0072462 | 0.4357367 | 0.0001021 | -0.1672925 |
| 2.7 | 5.8 | 3.060015 | 0.0355096 | -0.3600150 | 0.0066850 | 0.4347583 | 0.0023279 | -0.8317332 |
| 2.2 | 6.2 | 3.035261 | 0.0386305 | -0.8352611 | 0.0079118 | 0.4302541 | 0.0148663 | -1.9308745 |
| 2.5 | 5.6 | 3.072392 | 0.0369699 | -0.5723920 | 0.0072462 | 0.4331944 | 0.0063856 | -1.3227558 |
| 3.2 | 5.9 | 3.053826 | 0.0355442 | 0.1461735 | 0.0066981 | 0.4356100 | 0.0003845 | 0.3377030 |
| 2.8 | 6.1 | 3.041450 | 0.0371360 | -0.2414496 | 0.0073115 | 0.4353193 | 0.0011466 | -0.5579906 |
| 2.5 | 6.3 | 3.029073 | 0.0405274 | -0.5290726 | 0.0087079 | 0.4335683 | 0.0065754 | -1.2235490 |
| 2.8 | 6.1 | 3.041450 | 0.0371360 | -0.2414496 | 0.0073115 | 0.4353193 | 0.0011466 | -0.5579906 |
| 2.9 | 6.4 | 3.022884 | 0.0427732 | -0.1228841 | 0.0096997 | 0.4356589 | 0.0003959 | -0.2843278 |
| 3.0 | 6.6 | 3.010507 | 0.0481090 | -0.0105072 | 0.0122706 | 0.4357771 | 0.0000037 | -0.0243430 |
| 2.8 | 6.8 | 2.998130 | 0.0542871 | -0.1981302 | 0.0156245 | 0.4354666 | 0.0016779 | -0.4598088 |
| 3.0 | 6.7 | 3.004319 | 0.0511109 | -0.0043187 | 0.0138497 | 0.4357778 | 0.0000007 | -0.0100135 |
| 2.9 | 6.0 | 3.047638 | 0.0360940 | -0.1476380 | 0.0069069 | 0.4356066 | 0.0004047 | -0.3411224 |
| 2.6 | 5.7 | 3.066203 | 0.0359915 | -0.4662035 | 0.0068678 | 0.4340664 | 0.0040118 | -1.0771568 |
| 2.4 | 5.5 | 3.078580 | 0.0384068 | -0.6785804 | 0.0078204 | 0.4321403 | 0.0096970 | -1.5686033 |
| 2.4 | 5.5 | 3.078580 | 0.0384068 | -0.6785804 | 0.0078204 | 0.4321403 | 0.0096970 | -1.5686033 |
| 2.7 | 5.8 | 3.060015 | 0.0355096 | -0.3600150 | 0.0066850 | 0.4347583 | 0.0023279 | -0.8317332 |
| 2.7 | 6.0 | 3.047638 | 0.0360940 | -0.3476380 | 0.0069069 | 0.4348271 | 0.0022436 | -0.8032288 |
| 3.0 | 5.4 | 3.084769 | 0.0402531 | -0.0847689 | 0.0085904 | 0.4357214 | 0.0001665 | -0.1960275 |
| 3.4 | 6.0 | 3.047638 | 0.0360940 | 0.3523620 | 0.0069069 | 0.4348010 | 0.0023050 | 0.8141435 |
| 3.1 | 6.7 | 3.004319 | 0.0511109 | 0.0956813 | 0.0138497 | 0.4357055 | 0.0003456 | 0.2218516 |
| 2.3 | 6.3 | 3.029073 | 0.0405274 | -0.7290726 | 0.0087079 | 0.4315724 | 0.0124863 | -1.6860750 |
| 3.0 | 5.6 | 3.072392 | 0.0369699 | -0.0723920 | 0.0072462 | 0.4357367 | 0.0001021 | -0.1672925 |
| 2.5 | 5.5 | 3.078580 | 0.0384068 | -0.5785804 | 0.0078204 | 0.4331365 | 0.0070495 | -1.3374438 |
| 2.6 | 5.5 | 3.078580 | 0.0384068 | -0.4785804 | 0.0078204 | 0.4339724 | 0.0048233 | -1.1062843 |
| 3.0 | 6.1 | 3.041450 | 0.0371360 | -0.0414496 | 0.0073115 | 0.4357644 | 0.0000338 | -0.0957901 |
| 2.6 | 5.8 | 3.060015 | 0.0355096 | -0.4600150 | 0.0066850 | 0.4341120 | 0.0038007 | -1.0627606 |
| 2.3 | 5.0 | 3.109523 | 0.0506998 | -0.8095228 | 0.0136278 | 0.4305611 | 0.0243325 | -1.8767898 |
| 2.7 | 5.6 | 3.072392 | 0.0369699 | -0.3723920 | 0.0072462 | 0.4346863 | 0.0027028 | -0.8605705 |
| 3.0 | 5.7 | 3.066203 | 0.0359915 | -0.0662035 | 0.0068678 | 0.4357435 | 0.0000809 | -0.1529622 |
| 2.9 | 5.7 | 3.066203 | 0.0359915 | -0.1662035 | 0.0068678 | 0.4355608 | 0.0005099 | -0.3840109 |
| 2.9 | 6.2 | 3.035261 | 0.0386305 | -0.1352611 | 0.0079118 | 0.4356340 | 0.0003899 | -0.3126833 |
| 2.5 | 5.1 | 3.103334 | 0.0477237 | -0.6033344 | 0.0120748 | 0.4328925 | 0.0119381 | -1.3976646 |
| 2.8 | 5.7 | 3.066203 | 0.0359915 | -0.2662035 | 0.0068678 | 0.4352207 | 0.0013080 | -0.6150595 |
| 3.3 | 6.3 | 3.029073 | 0.0405274 | 0.2709274 | 0.0087079 | 0.4351996 | 0.0017242 | 0.6265547 |
| 2.7 | 5.8 | 3.060015 | 0.0355096 | -0.3600150 | 0.0066850 | 0.4347583 | 0.0023279 | -0.8317332 |
| 3.0 | 7.1 | 2.979565 | 0.0645983 | 0.0204352 | 0.0221236 | 0.4357746 | 0.0000256 | 0.0475822 |
| 2.9 | 6.3 | 3.029073 | 0.0405274 | -0.1290726 | 0.0087079 | 0.4356468 | 0.0003913 | -0.2984972 |
| 3.0 | 6.5 | 3.016696 | 0.0453161 | -0.0166956 | 0.0108873 | 0.4357758 | 0.0000082 | -0.0386534 |
| 3.0 | 7.6 | 2.948622 | 0.0833936 | 0.0513776 | 0.0368705 | 0.4357566 | 0.0002781 | 0.1205421 |
| 2.5 | 4.9 | 3.115711 | 0.0538546 | -0.6157113 | 0.0153766 | 0.4327623 | 0.0159389 | -1.4287262 |
| 2.9 | 7.3 | 2.967188 | 0.0719360 | -0.0671878 | 0.0274351 | 0.4357417 | 0.0003471 | -0.1568694 |
| 2.5 | 6.7 | 3.004319 | 0.0511109 | -0.5043187 | 0.0138497 | 0.4337602 | 0.0096017 | -1.1693390 |
| 3.6 | 7.2 | 2.973376 | 0.0682305 | 0.6266237 | 0.0246815 | 0.4326242 | 0.0270070 | 1.4609674 |
| 3.2 | 6.5 | 3.016696 | 0.0453161 | 0.1833044 | 0.0108873 | 0.4355127 | 0.0009912 | 0.4243819 |
| 2.7 | 6.4 | 3.022884 | 0.0427732 | -0.3228841 | 0.0096997 | 0.4349555 | 0.0027334 | -0.7470853 |
| 3.0 | 6.8 | 2.998130 | 0.0542871 | 0.0018698 | 0.0156245 | 0.4357779 | 0.0000001 | 0.0043393 |
| 2.5 | 5.7 | 3.066203 | 0.0359915 | -0.5662035 | 0.0068678 | 0.4332511 | 0.0059174 | -1.3082054 |
| 2.8 | 5.8 | 3.060015 | 0.0355096 | -0.2600150 | 0.0066850 | 0.4352464 | 0.0012143 | -0.6007059 |
| 3.2 | 6.4 | 3.022884 | 0.0427732 | 0.1771159 | 0.0096997 | 0.4355306 | 0.0008225 | 0.4098085 |
| 3.0 | 6.5 | 3.016696 | 0.0453161 | -0.0166956 | 0.0108873 | 0.4357758 | 0.0000082 | -0.0386534 |
| 3.8 | 7.7 | 2.942434 | 0.0873016 | 0.8575661 | 0.0404072 | 0.4297545 | 0.0855468 | 2.0157239 |
| 2.6 | 7.7 | 2.942434 | 0.0873016 | -0.3424339 | 0.0404072 | 0.4348231 | 0.0136402 | -0.8048968 |
| 2.2 | 6.0 | 3.047638 | 0.0360940 | -0.8476380 | 0.0069069 | 0.4300939 | 0.0133385 | -1.9584947 |
| 3.2 | 6.9 | 2.991942 | 0.0576089 | 0.2080583 | 0.0175951 | 0.4354339 | 0.0020920 | 0.4833332 |
| 2.8 | 5.6 | 3.072392 | 0.0369699 | -0.2723920 | 0.0072462 | 0.4351942 | 0.0014461 | -0.6294779 |
| 2.8 | 7.7 | 2.942434 | 0.0873016 | -0.1424339 | 0.0404072 | 0.4356129 | 0.0023599 | -0.3347933 |
| 2.7 | 6.3 | 3.029073 | 0.0405274 | -0.3290726 | 0.0087079 | 0.4349245 | 0.0025438 | -0.7610231 |
| 3.3 | 6.7 | 3.004319 | 0.0511109 | 0.2956813 | 0.0138497 | 0.4350854 | 0.0033005 | 0.6855818 |
| 3.2 | 7.2 | 2.973376 | 0.0682305 | 0.2266237 | 0.0246815 | 0.4353667 | 0.0035324 | 0.5283711 |
| 2.8 | 6.2 | 3.035261 | 0.0386305 | -0.2352611 | 0.0079118 | 0.4353423 | 0.0011794 | -0.5438535 |
| 3.0 | 6.1 | 3.041450 | 0.0371360 | -0.0414496 | 0.0073115 | 0.4357644 | 0.0000338 | -0.0957901 |
| 2.8 | 6.4 | 3.022884 | 0.0427732 | -0.2228841 | 0.0096997 | 0.4353862 | 0.0013025 | -0.5157065 |
| 3.0 | 7.2 | 2.973376 | 0.0682305 | 0.0266237 | 0.0246815 | 0.4357723 | 0.0000488 | 0.0620729 |
| 2.8 | 7.4 | 2.960999 | 0.0757040 | -0.1609993 | 0.0303845 | 0.4355692 | 0.0022207 | -0.3764707 |
| 3.8 | 7.9 | 2.930057 | 0.0952182 | 0.8699431 | 0.0480677 | 0.4295278 | 0.1064160 | 2.0530274 |
| 2.8 | 6.4 | 3.022884 | 0.0427732 | -0.2228841 | 0.0096997 | 0.4353862 | 0.0013025 | -0.5157065 |
| 2.8 | 6.3 | 3.029073 | 0.0405274 | -0.2290726 | 0.0087079 | 0.4353646 | 0.0012326 | -0.5297601 |
| 2.6 | 6.1 | 3.041450 | 0.0371360 | -0.4414496 | 0.0073115 | 0.4342430 | 0.0038329 | -1.0201911 |
| 3.0 | 7.7 | 2.942434 | 0.0873016 | 0.0575661 | 0.0404072 | 0.4357510 | 0.0003855 | 0.1353101 |
| 3.4 | 6.3 | 3.029073 | 0.0405274 | 0.3709274 | 0.0087079 | 0.4346933 | 0.0032320 | 0.8578177 |
| 3.1 | 6.4 | 3.022884 | 0.0427732 | 0.0771159 | 0.0096997 | 0.4357311 | 0.0001559 | 0.1784297 |
| 3.0 | 6.0 | 3.047638 | 0.0360940 | -0.0476380 | 0.0069069 | 0.4357601 | 0.0000421 | -0.1100692 |
| 3.1 | 6.9 | 2.991942 | 0.0576089 | 0.1080583 | 0.0175951 | 0.4356852 | 0.0005643 | 0.2510266 |
| 3.1 | 6.7 | 3.004319 | 0.0511109 | 0.0956813 | 0.0138497 | 0.4357055 | 0.0003456 | 0.2218516 |
| 3.1 | 6.9 | 2.991942 | 0.0576089 | 0.1080583 | 0.0175951 | 0.4356852 | 0.0005643 | 0.2510266 |
| 2.7 | 5.8 | 3.060015 | 0.0355096 | -0.3600150 | 0.0066850 | 0.4347583 | 0.0023279 | -0.8317332 |
| 3.2 | 6.8 | 2.998130 | 0.0542871 | 0.2018698 | 0.0156245 | 0.4354547 | 0.0017419 | 0.4684874 |
| 3.3 | 6.7 | 3.004319 | 0.0511109 | 0.2956813 | 0.0138497 | 0.4350854 | 0.0033005 | 0.6855818 |
| 3.0 | 6.7 | 3.004319 | 0.0511109 | -0.0043187 | 0.0138497 | 0.4357778 | 0.0000007 | -0.0100135 |
| 2.5 | 6.3 | 3.029073 | 0.0405274 | -0.5290726 | 0.0087079 | 0.4335683 | 0.0065754 | -1.2235490 |
| 3.0 | 6.5 | 3.016696 | 0.0453161 | -0.0166956 | 0.0108873 | 0.4357758 | 0.0000082 | -0.0386534 |
| 3.4 | 6.2 | 3.035261 | 0.0386305 | 0.3647389 | 0.0079118 | 0.4347300 | 0.0028348 | 0.8431676 |
| 3.0 | 5.9 | 3.053826 | 0.0355442 | -0.0538265 | 0.0066981 | 0.4357552 | 0.0000521 | -0.1243548 |
Cancer deaths in Texas, darker colors = more deaths. Which of the six plots is made from a real dataset and not simulated under the null hypothesis of spatial independence?
A plot of the real data is hidden among eight innocents, plots of data generated from the null distribution.
Clouds of selected words from first and sixth editions of Darwin’s “Origin of Species”. Four of them were generated under the null hypothesis of no difference between edition, and one is the true data.