Projekt „Nowa oferta edukacyjna Uniwersytetu Wrocławskiego odpowiedzią na współczesne potrzeby rynku pracy i gospodarki opartej na wiedzy”
Dane:
Eksploracja (mining)
Relacje między parami zmiennych filled.contour(volcano, color.palette = terrain.colors, asp = 1)
title(main = "volcano data: filled contour map")
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0.0 0.2 0.4 0.6 0.8 1.0 0.0
0.2 0.4 0.6 0.8 1.0
volcano data: filled contour map
Statystyczne modelowanie decyzji biznesowych 1
w darmowym pakiecie R
plot(sales~marketvalue,pch=".")
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marketvalue
sa le s
Statystyczne modelowanie decyzji biznesowych 2
w darmowym pakiecie R
hist(marketvalue) hist(log(marketvalue))
Histogram of log(marketvalue)
log(marketvalue)
F re q u e n cy
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0 2 0 0 4 0 0 6 0 0 8 0 0
Statystyczne modelowanie decyzji biznesowych 3
w darmowym pakiecie R
plot(log(sales)~log(marketvalue),pch=".")
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log(marketvalue)
lo g (s a le s)
Statystyczne modelowanie decyzji biznesowych 4
w darmowym pakiecie R
plot(log(sales)~log(marketvalue),col=rgb(0,0,0,0.1),pch=16)
Statystyczne modelowanie decyzji biznesowych 5
w darmowym pakiecie R
Drabina Tukeya
ladderTukey <- function(x,y){
qy <- fivenum(y)[1:3];qx <- fivenum(x)[1:3]
b1 <- (qy[2]-qy[1])/(qx[2]-qx[1]) b2 <- (qy[3]-qy[2])/(qx[3]-qx[2]) blad <- (b1-b2)/(b1+b2)
c(blad,b1,b2) }
ladderTukey(marketvalue,sales) -0.1313034 0.7425926 0.9670782
ladderTukey(marketvalue,log(sales)) 0.7213510 1.9651060 0.3181076
ladderTukey(log(marketvalue),log(sales)) -0.05713144 1.08002423 1.21090852
summary(lm(log(sales)~log(marketvalue)))
Call:
lm(formula = log(sales) ~ log(marketvalue)) Residuals:
Min 1Q Median 3Q Max -4.8400 -0.7255 0.0232 0.6890 3.9379 Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 0.51153 0.03946 12.96 <2e-16 ***
log(marketvalue) 0.57885 0.01907 30.35 <2e-16 ***
---
Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 1.018 on 1998 degrees of freedom Multiple R-squared: 0.3155, Adjusted R-squared: 0.3152 F-statistic: 920.9 on 1 and 1998 DF, p-value: < 2.2e-16
Statystyczne modelowanie decyzji biznesowych 6
w darmowym pakiecie R
library(MASS)
plot(log(marketvalue),log(sales))
abline(coefficients(lm(log(sales)~log(marketvalue))),col="red") abline(coefficients(rlm(log(sales)~log(marketvalue))),col="blue")
lines(lowess(x = log(marketvalue), y = log(sales)), col = "green", lwd = 1)
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-4 -2 0 2 4
log(marketvalue)
lo g (s a le s)
Statystyczne modelowanie decyzji biznesowych 7
w darmowym pakiecie R
library(calibrate)
orderProfits <- rev(order(profits)) profits50 <- profits[orderProfits][6:55]
assets50 <- assets[orderProfits][6:55]
abbreviateCountry <- abbreviate(country)
abbCountry50 <- abbreviateCountry[orderProfits][6:55]
plot(assets50,profits50,pch=20)
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assets50
p ro fit s5 0
Statystyczne modelowanie decyzji biznesowych 8
w darmowym pakiecie R
ladderTukey(assets50,profits50) 0.15187330 0.03205128 0.02359943 ladderTukey(log(assets50),profits50) -0.1749298 1.2536184 1.7851981 ladderTukey(log(assets50),log(profits50)) -0.07235858 0.29215216 0.33772950
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log(assets50)
lo g (p ro fit s5 0 )
UntS
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N/UK Japn
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Statystyczne modelowanie decyzji biznesowych 9
w darmowym pakiecie R
#fragment danych bez brakujących which(apply(Forbes2000,2,is.na)==T)
frb<-Forbes2000[!naProfits,c("sales","profits","assets","marketvalue")]
frbPlus <- frb[frb$profits>0,c("sales","profits","assets","marketvalue")]
pairs(frbPlus,pch=".")
sales
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profits
assets
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marketvalue
Statystyczne modelowanie decyzji biznesowych 10
w darmowym pakiecie R
pairs(log(frbPlus),pch=".")
sales
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profits
assets
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marketvalue
Statystyczne modelowanie decyzji biznesowych 11
w darmowym pakiecie R
#składowe główne
forbesPC <- princomp(log(frbPlus),cor=T)
plot(forbesPC$scores[,2] ~forbesPC$scores[,1],pch=20)
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forbesPC$scores[, 1]
fo rb e sP C $ sc o re s[ , 2 ]
> summary(forbesPC) Importance of components:
Comp.1 Comp.2 Comp.3 Comp.4
Standard deviation 1.6613196 0.7750725 0.6660821 0.44228306 Proportion of Variance 0.6899957 0.1501844 0.1109164 0.04890358 Cumulative Proportion 0.6899957 0.8401801 0.9510964 1.00000000
0.00.51.01.52.02.5
Ważność składowych (wariancje)
Statystyczne modelowanie decyzji biznesowych 12
w darmowym pakiecie R
> forbesPC$loadings Loadings:
Comp.1 Comp.2 Comp.3 Comp.4 sales 0.488 -0.186 0.850 profits 0.523 0.466 -0.249 0.669 assets 0.446 -0.784 -0.431 marketvalue 0.538 0.365 -0.172 -0.740
> forbesPC$center
sales profits assets marketvalue 1.457143 -1.320061 2.296328 1.763937
> forbesPC$scale
sales profits assets marketvalue 1.234526 1.226756 1.326477 1.142203
> summary(forbesPC)
biplot(forbesPC)
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sales profits
assets
marketvalue
Statystyczne modelowanie decyzji biznesowych 13
w darmowym pakiecie R
library(FactoMineR)
result <- PCA(log(frbPlus)) # graphs generated automatically
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-2-10123
Individuals factor map (PCA)
Dim 1 (69%)
Dim 2 (15.02%)
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11371138 1140 1141
1142 11441143
114611471145 1148
1149 11501152
1153 1154
1155 11571158 1159
1160
1161 1162 1163 1164
1165 1166
1167
1168 1170117111721169
1173 1174
1175
1176 1177 1178
1179
1180 1181
1183 1184 11851186 1188
1189
1190 1191 1192 1193
1194
1195 119811991196
1200 1201
1202 1204
1205 1207 1208
1210
1211 1212
1213
1214 1215 1216
12181217 12211220
1222
1227 1228 12291230
1231
1232 1233
1235 1236
1238 1239 1240
1241 1243 1244 1246
1249 1250
1252 1253
1254 1255 1256 1257 1259
1261
1262 1264
1265
1266
1267 1269
1270 1271
1273
1274
1275 1276 1277
1279 1281
1282 1283
1284 1285 1286
1287 1288 1289
12911290 1292
1293 1294129612971295
1298 1299
1300 13041302 1305
1306 13071308
13091310
1311 1312
13141316 13181317
1320 1321
1323 1324 1325
1326 1327
1328 1329 1330
1331 1332
13341333 1336
1337 1338
1339 1340
1341
1342
1343 1344
13451346 1347
1348 1349 1351
1352 1353
13551354 1356 1358
1359
1360 1361
1362 1363 1364
1366 13681367
1369
1370 13721371
1373
1374
1375 1376 13801379
1381 1383
1384 1385
1387
1388
1390 1391
1392 1394 1395
13981396 1399
1400 1401 1402
1403
1405 1406 1407
1410 1412 1413
14151414 1416 1417
1418 1419 14201421
14271423 1428
1429 1430
14321431 1433
14351434 1436
1437
14381439
1440 14441445 14471448 1449
1451 1452
1453 1454 14571455
1460 1461
1462 1463 14641465 1467 14691470 1471 1472
1473 1474
14781475 1479
14801483 1484
1486
1487
1488 1491
149314941492 1495 1496
1498
15001501 1502
1503 1504
15061505 1507
1508
15091510 1511 1512
1513 1514
15161515 151815171519 1520
1521
1522 1523 15241525 1526
15281527 1529 1530 1531
15331532 1534
1535
153715381536 1539
1540 1541 1542
1543 1544
15451546 1547
1548 1549 1550 1551
1553 15571555
1558
1559
1561 1562
1563
1564 1565
1566 1567
1568 1569
1570
1571 1572 1573
1575 1576
1577 15791578
15811580
1582 1583 1584
1585 1587
1588
1589 15901592
15961595 1597
1598 1599 1601
16021603 1604
1605 16071606 1608
1609 1610
1611
16131612 1614
16151616 1617
1620
1621 1622
1623 16241625 1626
1627
1630 1631
1632 1633
1634 1636
1638
1639
1641 1642
1644 1645
1646
16491648 16501651
16521655 1656 1657 1661
1662 1663
16641665 1666
1667 1669
1671
1672 1673
1674 16761675 1677
16791678 1680 1681
1682 16841683
1685 1687
16881689 1690
16911694 1695
1696 1698 1699
17001701 1703 1704
1706 17091707 1710 1711
1712 1713 1714
1715 1716
17171718 1719 1721 1722 1723
1724
1725 1727 1728 1729
1730 1731 1732
1734
1735 1736
1737 1739
17401741 1742
1743 1744
1745 1746
17501748 1751 1752
1753 1754 17561755
1757 1758 1759
1761
1762
1763 1767 1769 1771
17731772 1777
1778 1779
1780
1783 1784
1785 1786 1787
1788
1789 1790
1792 1793
1794 1796
1797 1798 1799
1800
1801 1802
1803 1804
1805 1806 1808
18091810 1812
18151813 18161817 1818
1819 1820
1821 1823 1824 18251826
1827 1828
1830 1831
1832
1833
1834 1835
1836 1837 1838 1839 1841
1842 1843
1844
1845 1847 1846
1849 1850
18511852 18531854 1855
1856
1857 1858
1861
1862 1864
1866 1867
1869
1870
1871
1872
18741873 1876
1877 1878
1879 1881
1882 1883
1884 1886
1888 1889
18931894 1895 18981896
1899 1900
1901 1902 19041903
1907 1908
1911 1912
19131915 1916
1917 1918
19191920 1922 1923 1924
1925 1926 1930 1931
19321933 1934 1936
19371938
1939 1940
1941 1942
1943
1944 1945 1946
1947 1948
1951 1952
1953 1954
1955 1956 1957
1959 1960
1961
1962 1963
19651964 1967
1968 19701969
1971 1972
1973
1974 1975 1976
1977 1978
19841979
1985 1986
1987 1988
19901989 1991
1992 1995 1996
1998 2000
-1.0 -0.5 0.0 0.5 1.0
-1.0-0.50.00.51.0
Variables factor map (PCA)
Dim 1 (69%)
Dim 2 (15.02%)
sales
profits assets
marketvalue