DSF
Nicole
2023-06-29
一、資料整理
資料結構
先看資料樣態
## vars n mean sd median trimmed mad min max range skew kurtosis
## k1 1 655 1.00 0.82 1 0.88 0.00 0 3 3 1.05 1.03
## k2 2 655 1.33 0.90 1 1.29 1.48 0 3 3 0.41 -0.56
## k3 3 655 1.22 0.87 1 1.15 1.48 0 3 3 0.44 -0.39
## k4 4 655 1.36 0.60 1 1.35 0.00 0 3 3 0.29 -0.09
## k5 5 655 1.02 0.76 1 0.92 0.00 0 3 3 1.14 1.65
## k6 6 655 1.29 0.84 1 1.25 1.48 0 3 3 0.38 -0.36
## k7 7 655 1.36 0.92 1 1.32 1.48 0 3 3 0.44 -0.62
## k8 8 655 0.94 0.93 1 0.81 1.48 0 3 3 0.85 -0.06
## k9 9 655 1.35 0.61 1 1.36 0.00 0 3 3 0.08 -0.22
## k10 10 655 1.31 0.72 1 1.32 0.00 0 3 3 0.36 0.01
## k11 11 655 1.31 0.78 1 1.30 0.00 0 3 3 0.31 -0.24
## a1 12 655 5.03 1.55 5 5.08 1.48 1 7 6 -0.08 -1.04
## a2 13 655 3.72 1.87 4 3.65 2.97 1 7 6 0.41 -0.89
## a3 14 655 4.54 1.45 4 4.53 1.48 1 7 6 0.22 -0.38
## a4 15 655 3.95 1.56 4 3.85 1.48 1 7 6 0.41 -0.44
## a5 16 655 4.02 1.95 4 4.00 2.97 1 7 6 0.19 -1.22
## a6 17 655 5.02 1.44 5 5.08 1.48 1 7 6 -0.10 -0.63
## a7 18 655 5.05 1.34 5 5.06 1.48 1 7 6 0.08 -0.75
## a8 19 655 5.07 1.43 5 5.14 1.48 1 7 6 -0.15 -0.65
## a9 20 655 5.22 1.36 5 5.26 1.48 1 7 6 -0.14 -0.70
## a10 21 655 5.12 1.44 5 5.18 1.48 1 7 6 -0.12 -0.91
## a11 22 655 5.19 1.43 5 5.28 1.48 1 7 6 -0.20 -0.78
## a12 23 655 4.93 1.40 5 4.97 1.48 1 7 6 0.01 -0.57
## id 24 655 328.00 189.23 328 328.00 243.15 1 655 654 0.00 -1.21
## se
## k1 0.03
## k2 0.04
## k3 0.03
## k4 0.02
## k5 0.03
## k6 0.03
## k7 0.04
## k8 0.04
## k9 0.02
## k10 0.03
## k11 0.03
## a1 0.06
## a2 0.07
## a3 0.06
## a4 0.06
## a5 0.08
## a6 0.06
## a7 0.05
## a8 0.06
## a9 0.05
## a10 0.06
## a11 0.06
## a12 0.05
## id 7.39二、題目分析
進行題目分析，共有23題，知識11題+態度12題
## Sample.SD Item.total Item.Tot.woi Difficulty Discrimination Item.Criterion
## k1 0.8202334 -0.1341884 -0.2105598 1.000000 -0.1651376 NA
## k2 0.8963435 -0.1841439 -0.2655693 1.332824 -0.3807339 NA
## k3 0.8666566 -0.1729588 -0.2521997 1.216794 -0.3532110 NA
## k4 0.5997525 -0.2640985 -0.3167135 1.361832 -0.3715596 NA
## k5 0.7639636 -0.1203025 -0.1919036 1.021374 -0.1605505 NA
## k6 0.8387876 -0.1398733 -0.2177575 1.294656 -0.2660550 NA
## Item.Reliab Item.Rel.woi Item.Validity
## k1 -0.10998175 -0.1725763 NA
## k2 -0.16493015 -0.2378595 NA
## k3 -0.14978141 -0.2184036 NA
## k4 -0.15827275 -0.1898047 NA
## k5 -0.09183654 -0.1464954 NA
## k6 -0.11723439 -0.1825128 NASample.SD–> 題項標準差
Item.total–>題項和量表總分的相關
Item.Tot.woi–>題項和量表總分的相關(扣掉本身題項分數)
Difficulty–>均值
Discrimination–>前25%-33%(U)和後25%-33%(L)之差異
Item.Reliab Item reliability index–>題項一致性信度
Item.Rel.woi Item reliability index–>題項一致性信度(扣掉本身題項分數)
信度系數α
detach("package:psychometric", unload = TRUE)
library(psych)
item3 <- alpha(dta[,1:23],check.keys=TRUE)$alpha.drop[,'raw_alpha']## Warning in alpha(dta[, 1:23], check.keys = TRUE): Some items were negatively correlated with total scale and were automatically reversed.
## This is indicated by a negative sign for the variable name.## 總量表信度（刪題） 題目信度
## 1 0.9482378 -0.1725763
## 2 0.9466286 -0.2378595
## 3 0.9470480 -0.2184036
## 4 0.9471807 -0.1898047
## 5 0.9486693 -0.1464954
## 6 0.9470123 -0.1825128## 總量表信度（刪題） 題目信度
## k1 0.948 -0.173
## k2 0.947 -0.238
## k3 0.947 -0.218
## k4 0.947 -0.190
## k5 0.949 -0.146
## k6 0.947 -0.183
## k7 0.947 -0.234
## k8 0.947 -0.249
## k9 0.947 -0.186
## k10 0.947 -0.205
## k11 0.947 -0.204
## a1 0.945 0.912
## a2 0.950 0.603
## a3 0.948 0.833
## a4 0.947 0.809
## a5 0.947 0.767
## a6 0.948 0.633
## a7 0.946 0.954
## a8 0.946 1.031
## a9 0.945 0.972
## a10 0.945 0.913
## a11 0.945 0.876
## a12 0.947 0.821三、因素分析
利用PCA探索因素數量，圖建議取2個因素
## Parallel analysis suggests that the number of factors = NA and the number of components = 2四、Partial Credit Model
DAFS 中文版同時包含二元計分和多重計分題型，因此選擇單參數的部分給分模式 (partial credit model, PCM)作為分析模式。
##
## Results of PCM estimation:
##
## Call: PCM(X = PC_dta)
##
## Conditional log-likelihood: -18140.21
## Number of iterations: 394
## Number of parameters: 104
##
## Item (Category) Difficulty Parameters (eta): with 0.95 CI:
## Estimate Std. Error lower CI upper CI
## k1.c2 2.788 0.203 2.391 3.185
## k1.c3 2.777 0.170 2.445 3.109
## k2.c1 -0.605 0.116 -0.832 -0.378
## k2.c2 0.761 0.138 0.490 1.031
## k2.c3 1.956 0.165 1.631 2.280
## k3.c1 -0.383 0.107 -0.593 -0.172
## k3.c2 1.002 0.131 0.744 1.259
## k3.c3 2.538 0.174 2.198 2.879
## k4.c1 -2.123 0.199 -2.514 -1.733
## k4.c2 -1.048 0.207 -1.454 -0.642
## k4.c3 2.370 0.327 1.729 3.012
## k5.c1 -0.708 0.103 -0.910 -0.505
## k5.c2 2.711 0.217 2.286 3.137
## k5.c3 2.661 0.178 2.312 3.010
## k6.c1 -0.670 0.117 -0.899 -0.441
## k6.c2 0.605 0.137 0.337 0.873
## k6.c3 2.248 0.179 1.897 2.599
## k7.c1 -0.681 0.117 -0.912 -0.451
## k7.c2 0.830 0.143 0.550 1.110
## k7.c3 1.751 0.162 1.433 2.069
## k8.c1 0.372 0.092 0.193 0.552
## k8.c2 2.392 0.146 2.107 2.678
## k8.c3 3.168 0.162 2.850 3.485
## k9.c1 -1.772 0.173 -2.111 -1.433
## k9.c2 -0.760 0.182 -1.116 -0.403
## k9.c3 3.000 0.349 2.316 3.683
## k10.c1 -1.242 0.139 -1.514 -0.969
## k10.c2 -0.022 0.154 -0.323 0.280
## k10.c3 2.309 0.221 1.877 2.742
## k11.c1 -0.896 0.126 -1.143 -0.650
## k11.c2 0.262 0.142 -0.016 0.539
## k11.c3 2.316 0.198 1.929 2.703
## a1.c1 0.230 0.482 -0.714 1.175
## a1.c2 -1.592 0.363 -2.303 -0.880
## a1.c3 -1.968 0.352 -2.658 -1.278
## a1.c4 -0.644 0.360 -1.349 0.062
## a1.c5 0.196 0.365 -0.521 0.912
## a1.c6 -0.064 0.358 -0.766 0.638
## a2.c1 -0.209 0.149 -0.501 0.083
## a2.c2 0.363 0.156 0.058 0.669
## a2.c3 0.772 0.162 0.456 1.089
## a2.c4 2.560 0.213 2.142 2.978
## a2.c5 3.153 0.223 2.716 3.589
## a2.c6 3.339 0.222 2.905 3.774
## a3.c1 -0.659 0.348 -1.341 0.023
## a3.c2 -1.118 0.318 -1.741 -0.496
## a3.c3 -1.875 0.303 -2.469 -1.282
## a3.c4 -0.341 0.314 -0.957 0.275
## a3.c5 1.087 0.335 0.430 1.745
## a3.c6 0.989 0.325 0.352 1.626
## a4.c1 -0.851 0.229 -1.300 -0.401
## a4.c2 -1.014 0.218 -1.441 -0.586
## a4.c3 -0.596 0.221 -1.029 -0.163
## a4.c4 0.899 0.244 0.421 1.377
## a4.c5 2.095 0.270 1.567 2.623
## a4.c6 2.506 0.271 1.975 3.037
## a5.c1 -0.400 0.160 -0.714 -0.086
## a5.c2 0.265 0.169 -0.066 0.596
## a5.c3 0.716 0.175 0.374 1.059
## a5.c4 2.080 0.210 1.668 2.493
## a5.c5 2.403 0.212 1.987 2.819
## a5.c6 2.797 0.222 2.363 3.232
## a6.c1 -0.549 0.445 -1.421 0.323
## a6.c2 -1.056 0.400 -1.840 -0.271
## a6.c3 -2.176 0.374 -2.910 -1.442
## a6.c4 -1.228 0.376 -1.966 -0.490
## a6.c5 0.069 0.386 -0.687 0.825
## a6.c6 -0.039 0.379 -0.781 0.704
## a7.c1 -0.081 0.638 -1.332 1.169
## a7.c2 -1.489 0.512 -2.494 -0.485
## a7.c3 -2.862 0.484 -3.812 -1.913
## a7.c4 -1.805 0.482 -2.750 -0.860
## a7.c5 -0.677 0.483 -1.625 0.270
## a7.c6 -0.552 0.476 -1.485 0.381
## a8.c1 -0.287 0.465 -1.197 0.624
## a8.c2 -1.111 0.399 -1.893 -0.328
## a8.c3 -2.146 0.375 -2.881 -1.411
## a8.c4 -1.201 0.377 -1.940 -0.462
## a8.c5 -0.152 0.383 -0.902 0.598
## a8.c6 -0.069 0.379 -0.811 0.674
## a9.c1 0.120 0.601 -1.059 1.298
## a9.c2 -1.087 0.475 -2.018 -0.156
## a9.c3 -2.504 0.441 -3.367 -1.640
## a9.c4 -1.701 0.439 -2.561 -0.841
## a9.c5 -0.552 0.442 -1.419 0.314
## a9.c6 -0.598 0.435 -1.450 0.255
## a10.c1 -0.771 0.570 -1.889 0.347
## a10.c2 -1.915 0.504 -2.903 -0.928
## a10.c3 -2.646 0.486 -3.599 -1.694
## a10.c4 -1.731 0.483 -2.679 -0.784
## a10.c5 -0.707 0.484 -1.655 0.241
## a10.c6 -0.735 0.476 -1.667 0.197
## a11.c1 0.161 0.552 -0.921 1.243
## a11.c2 -1.416 0.424 -2.247 -0.584
## a11.c3 -2.214 0.404 -3.007 -1.421
## a11.c4 -1.389 0.405 -2.182 -0.596
## a11.c5 -0.378 0.408 -1.178 0.422
## a11.c6 -0.417 0.403 -1.206 0.373
## a12.c1 -0.352 0.458 -1.251 0.547
## a12.c2 -1.095 0.399 -1.877 -0.314
## a12.c3 -2.272 0.374 -3.004 -1.540
## a12.c4 -1.148 0.377 -1.886 -0.410
## a12.c5 -0.002 0.384 -0.755 0.750
## a12.c6 0.132 0.380 -0.612 0.877
##
## Item Easiness Parameters (beta) with 0.95 CI:
## Estimate Std. Error lower CI upper CI
## beta k1.c1 0.399 0.097 0.209 0.590
## beta k1.c2 -2.788 0.203 -3.185 -2.391
## beta k1.c3 -2.777 0.170 -3.109 -2.445
## beta k2.c1 0.605 0.116 0.378 0.832
## beta k2.c2 -0.761 0.138 -1.031 -0.490
## beta k2.c3 -1.956 0.165 -2.280 -1.631
## beta k3.c1 0.383 0.107 0.172 0.593
## beta k3.c2 -1.002 0.131 -1.259 -0.744
## beta k3.c3 -2.538 0.174 -2.879 -2.198
## beta k4.c1 2.123 0.199 1.733 2.514
## beta k4.c2 1.048 0.207 0.642 1.454
## beta k4.c3 -2.370 0.327 -3.012 -1.729
## beta k5.c1 0.708 0.103 0.505 0.910
## beta k5.c2 -2.711 0.217 -3.137 -2.286
## beta k5.c3 -2.661 0.178 -3.010 -2.312
## beta k6.c1 0.670 0.117 0.441 0.899
## beta k6.c2 -0.605 0.137 -0.873 -0.337
## beta k6.c3 -2.248 0.179 -2.599 -1.897
## beta k7.c1 0.681 0.117 0.451 0.912
## beta k7.c2 -0.830 0.143 -1.110 -0.550
## beta k7.c3 -1.751 0.162 -2.069 -1.433
## beta k8.c1 -0.372 0.092 -0.552 -0.193
## beta k8.c2 -2.392 0.146 -2.678 -2.107
## beta k8.c3 -3.168 0.162 -3.485 -2.850
## beta k9.c1 1.772 0.173 1.433 2.111
## beta k9.c2 0.760 0.182 0.403 1.116
## beta k9.c3 -3.000 0.349 -3.683 -2.316
## beta k10.c1 1.242 0.139 0.969 1.514
## beta k10.c2 0.022 0.154 -0.280 0.323
## beta k10.c3 -2.309 0.221 -2.742 -1.877
## beta k11.c1 0.896 0.126 0.650 1.143
## beta k11.c2 -0.262 0.142 -0.539 0.016
## beta k11.c3 -2.316 0.198 -2.703 -1.929
## beta a1.c1 -0.230 0.482 -1.175 0.714
## beta a1.c2 1.592 0.363 0.880 2.303
## beta a1.c3 1.968 0.352 1.278 2.658
## beta a1.c4 0.644 0.360 -0.062 1.349
## beta a1.c5 -0.196 0.365 -0.912 0.521
## beta a1.c6 0.064 0.358 -0.638 0.766
## beta a2.c1 0.209 0.149 -0.083 0.501
## beta a2.c2 -0.363 0.156 -0.669 -0.058
## beta a2.c3 -0.772 0.162 -1.089 -0.456
## beta a2.c4 -2.560 0.213 -2.978 -2.142
## beta a2.c5 -3.153 0.223 -3.589 -2.716
## beta a2.c6 -3.339 0.222 -3.774 -2.905
## beta a3.c1 0.659 0.348 -0.023 1.341
## beta a3.c2 1.118 0.318 0.496 1.741
## beta a3.c3 1.875 0.303 1.282 2.469
## beta a3.c4 0.341 0.314 -0.275 0.957
## beta a3.c5 -1.087 0.335 -1.745 -0.430
## beta a3.c6 -0.989 0.325 -1.626 -0.352
## beta a4.c1 0.851 0.229 0.401 1.300
## beta a4.c2 1.014 0.218 0.586 1.441
## beta a4.c3 0.596 0.221 0.163 1.029
## beta a4.c4 -0.899 0.244 -1.377 -0.421
## beta a4.c5 -2.095 0.270 -2.623 -1.567
## beta a4.c6 -2.506 0.271 -3.037 -1.975
## beta a5.c1 0.400 0.160 0.086 0.714
## beta a5.c2 -0.265 0.169 -0.596 0.066
## beta a5.c3 -0.716 0.175 -1.059 -0.374
## beta a5.c4 -2.080 0.210 -2.493 -1.668
## beta a5.c5 -2.403 0.212 -2.819 -1.987
## beta a5.c6 -2.797 0.222 -3.232 -2.363
## beta a6.c1 0.549 0.445 -0.323 1.421
## beta a6.c2 1.056 0.400 0.271 1.840
## beta a6.c3 2.176 0.374 1.442 2.910
## beta a6.c4 1.228 0.376 0.490 1.966
## beta a6.c5 -0.069 0.386 -0.825 0.687
## beta a6.c6 0.039 0.379 -0.704 0.781
## beta a7.c1 0.081 0.638 -1.169 1.332
## beta a7.c2 1.489 0.512 0.485 2.494
## beta a7.c3 2.862 0.484 1.913 3.812
## beta a7.c4 1.805 0.482 0.860 2.750
## beta a7.c5 0.677 0.483 -0.270 1.625
## beta a7.c6 0.552 0.476 -0.381 1.485
## beta a8.c1 0.287 0.465 -0.624 1.197
## beta a8.c2 1.111 0.399 0.328 1.893
## beta a8.c3 2.146 0.375 1.411 2.881
## beta a8.c4 1.201 0.377 0.462 1.940
## beta a8.c5 0.152 0.383 -0.598 0.902
## beta a8.c6 0.069 0.379 -0.674 0.811
## beta a9.c1 -0.120 0.601 -1.298 1.059
## beta a9.c2 1.087 0.475 0.156 2.018
## beta a9.c3 2.504 0.441 1.640 3.367
## beta a9.c4 1.701 0.439 0.841 2.561
## beta a9.c5 0.552 0.442 -0.314 1.419
## beta a9.c6 0.598 0.435 -0.255 1.450
## beta a10.c1 0.771 0.570 -0.347 1.889
## beta a10.c2 1.915 0.504 0.928 2.903
## beta a10.c3 2.646 0.486 1.694 3.599
## beta a10.c4 1.731 0.483 0.784 2.679
## beta a10.c5 0.707 0.484 -0.241 1.655
## beta a10.c6 0.735 0.476 -0.197 1.667
## beta a11.c1 -0.161 0.552 -1.243 0.921
## beta a11.c2 1.416 0.424 0.584 2.247
## beta a11.c3 2.214 0.404 1.421 3.007
## beta a11.c4 1.389 0.405 0.596 2.182
## beta a11.c5 0.378 0.408 -0.422 1.178
## beta a11.c6 0.417 0.403 -0.373 1.206
## beta a12.c1 0.352 0.458 -0.547 1.251
## beta a12.c2 1.095 0.399 0.314 1.877
## beta a12.c3 2.272 0.374 1.540 3.004
## beta a12.c4 1.148 0.377 0.410 1.886
## beta a12.c5 0.002 0.384 -0.750 0.755
## beta a12.c6 -0.132 0.380 -0.877 0.612Expected Response Curves & Item characteristic curves
Item characteristic curves
