Form 1 Analysis

Classical Test Theory Results

CTT Summary

Form1_CTT <- ctt_analysis(Form1)
Form1_problematic <- identify_problematic_items(Form1_CTT)

Form1_CTT %>%
  mutate(problematic = ifelse(item %in% Form1_problematic, "Yes", "No")) %>%
  select(item, mean, sd, problematic) %>%
  kable(caption = "Classical Test Theory Results for Form 1", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive")) %>%
  row_spec(which(Form1_CTT$item %in% Form1_problematic), background = "yellow")
Classical Test Theory Results for Form 1
item mean sd problematic
ASMTEN00000102-090016 ASMTEN00000102-090016 0.834 0.372 No
ASMTEN00000102-090022-01 ASMTEN00000102-090022-01 0.810 0.393 No
ASMTEN00000102-090023-01 ASMTEN00000102-090023-01 0.991 0.093 Yes
ASMTEN00000102-090051 ASMTEN00000102-090051 0.536 0.499 No
ASMTEN00000102-090095-01 ASMTEN00000102-090095-01 0.968 0.175 Yes
ASMTEN00008102-060002 ASMTEN00008102-060002 0.842 0.365 No
ASMTEN00008102-060004 ASMTEN00008102-060004 0.474 0.500 No
ASMTEN00008102-060005 ASMTEN00008102-060005 0.909 0.288 Yes
ASMTEN00008102-060006 ASMTEN00008102-060006 0.626 0.484 No
ASMTEN00008103-060001 ASMTEN00008103-060001 0.559 0.497 No
ASMTEN00008103-060003 ASMTEN00008103-060003 0.993 0.080 Yes
ASMTEN00008103-060007 ASMTEN00008103-060007 0.989 0.104 Yes
ASMTEN00008103-060009 ASMTEN00008103-060009 0.894 0.308 Yes
ASMTEN00008104-060001 ASMTEN00008104-060001 0.514 0.500 No
ASMTEN00008104-060006 ASMTEN00008104-060006 0.657 0.475 No
ASMTEN00008104-060010 ASMTEN00008104-060010 0.956 0.205 Yes
ASMTEN00008104-060011 ASMTEN00008104-060011 0.997 0.054 Yes
ASMTEN00008105-060002 ASMTEN00008105-060002 0.634 0.482 No
ASMTEN00008105-060008 ASMTEN00008105-060008 0.289 0.453 Yes
ASMTEN00008105-060009 ASMTEN00008105-060009 0.823 0.382 No
ASMTEN00008105-060011 ASMTEN00008105-060011 0.305 0.461 Yes
ASMTEN00008106-060001 ASMTEN00008106-060001 0.983 0.130 Yes
ASMTEN00008106-060002 ASMTEN00008106-060002 0.957 0.202 Yes
ASMTEN00008106-060003 ASMTEN00008106-060003 0.985 0.122 Yes
ASMTEN00008106-060004 ASMTEN00008106-060004 0.967 0.179 Yes
ASMTEN00008201-060001 ASMTEN00008201-060001 0.574 0.495 No
ASMTEN00008201-060002 ASMTEN00008201-060002 0.633 0.482 No
ASMTEN00008201-060003 ASMTEN00008201-060003 0.863 0.344 No
ASMTEN00008202-060003 ASMTEN00008202-060003 0.532 0.499 No
ASMTEN00008202-060011 ASMTEN00008202-060011 0.673 0.469 No
ASMTEN00008202-060012 ASMTEN00008202-060012 0.807 0.395 No
ASMTEN00008202-060013 ASMTEN00008202-060013 0.711 0.453 No
ASMTEN00008202-060014 ASMTEN00008202-060014 0.928 0.259 Yes
ASMTEN00008202-060016 ASMTEN00008202-060016 0.935 0.247 Yes
ASMTEN00008202-060017 ASMTEN00008202-060017 0.693 0.461 No
ASMTEN00008202-060018 ASMTEN00008202-060018 0.575 0.495 No
ASMTEN00008203-060001 ASMTEN00008203-060001 0.505 0.500 No
ASMTEN00008203-060003 ASMTEN00008203-060003 0.728 0.445 No
ASMTEN00008203-060006 ASMTEN00008203-060006 0.826 0.379 No
ASMTEN00008203-060007 ASMTEN00008203-060007 0.791 0.407 No
ASMTEN00008203-060013 ASMTEN00008203-060013 0.611 0.488 No
ASMTEN00008204-060004 ASMTEN00008204-060004 0.394 0.489 Yes
ASMTEN00008204-060010 ASMTEN00008204-060010 0.618 0.486 No
ASMTEN00008205-060004 ASMTEN00008205-060004 0.951 0.216 Yes
ASMTEN00008205-060009 ASMTEN00008205-060009 0.493 0.500 No
ASMTEN00008205-060010 ASMTEN00008205-060010 0.855 0.352 No
ASMTEN00008205-060013 ASMTEN00008205-060013 0.588 0.492 No
ASMTEN00008205-060019 ASMTEN00008205-060019 0.757 0.429 No
ASMTEN00008205-060025 ASMTEN00008205-060025 0.880 0.325 No
ASMTEN00008206-060001 ASMTEN00008206-060001 0.749 0.434 No
ASMTEN00008206-060002 ASMTEN00008206-060002 0.585 0.493 No
ASMTEN00008206-060005 ASMTEN00008206-060005 0.980 0.138 Yes
ASMTEN00008206-060007 ASMTEN00008206-060007 0.538 0.499 No
ASMTEN00008206-060008 ASMTEN00008206-060008 0.828 0.378 No
ASMTEN00008207-060003 ASMTEN00008207-060003 0.915 0.279 Yes
ASMTEN00008207-060005 ASMTEN00008207-060005 0.779 0.415 No
ASMTEN00008207-060007 ASMTEN00008207-060007 0.581 0.494 No
ASMTEN00008207-060008 ASMTEN00008207-060008 0.559 0.497 No
ASMTEN00008207-060009 ASMTEN00008207-060009 0.781 0.414 No
ASMTEN00008207-060012 ASMTEN00008207-060012 0.497 0.500 No
ASMTEN00008208-060001 ASMTEN00008208-060001 0.620 0.486 No
ASMTEN00008208-060005 ASMTEN00008208-060005 0.531 0.499 No
ASMTEN00008208-060006 ASMTEN00008208-060006 0.900 0.301 Yes
ASMTEN00008209-060001 ASMTEN00008209-060001 0.509 0.500 No
ASMTEN00008209-060002 ASMTEN00008209-060002 0.686 0.464 No
ASMTEN00008209-060003 ASMTEN00008209-060003 0.872 0.335 No
ASMTEN00008209-060004 ASMTEN00008209-060004 0.802 0.398 No
ASMTEN00008209-060006 ASMTEN00008209-060006 0.594 0.491 No
ASMTEN00008301-070001 ASMTEN00008301-070001 0.626 0.484 No
ASMTEN00008301-070004 ASMTEN00008301-070004 0.942 0.235 Yes
ASMTEN00008301-070005 ASMTEN00008301-070005 0.660 0.474 No
ASMTEN00008301-070006 ASMTEN00008301-070006 0.578 0.494 No
ASMTEN00008301-070007 ASMTEN00008301-070007 0.507 0.500 No
ASMTEN00008302-070001 ASMTEN00008302-070001 0.432 0.496 No
ASMTEN00008302-070003 ASMTEN00008302-070003 0.392 0.488 Yes
ASMTEN00008302-070005 ASMTEN00008302-070005 0.882 0.323 No
ASMTEN00008302-070010 ASMTEN00008302-070010 0.871 0.336 No
ASMTEN00008303-070001 ASMTEN00008303-070001 0.736 0.441 No
ASMTEN00008303-070002 ASMTEN00008303-070002 0.530 0.499 No
ASMTEN00008303-070003 ASMTEN00008303-070003 0.885 0.320 No
ASMTEN00008303-070005 ASMTEN00008303-070005 0.306 0.461 Yes
ASMTEN00008303-070006 ASMTEN00008303-070006 0.621 0.485 No
ASMTEN00008304-070001 ASMTEN00008304-070001 0.752 0.432 No
ASMTEN00008304-070003 ASMTEN00008304-070003 0.488 0.500 No
ASMTEN00008304-070004 ASMTEN00008304-070004 0.412 0.492 No
ASMTEN00008304-070008 ASMTEN00008304-070008 0.451 0.498 No
ASMTEN00008304-070013 ASMTEN00008304-070013 0.562 0.496 No
ASMTEN00008306-070002 ASMTEN00008306-070002 0.929 0.258 Yes
ASMTEN00008306-070003 ASMTEN00008306-070003 0.965 0.183 Yes
ASMTEN00008306-070004 ASMTEN00008306-070004 0.654 0.476 No
ASMTEN00008306-070005 ASMTEN00008306-070005 0.737 0.441 No
ASMTEN00008306-070009 ASMTEN00008306-070009 0.635 0.482 No
ASMTEN00008307-070002 ASMTEN00008307-070002 0.620 0.486 No
ASMTEN00008307-070005 ASMTEN00008307-070005 0.813 0.390 No
ASMTEN00008307-070006 ASMTEN00008307-070006 0.392 0.488 Yes
ASMTEN00008307-070008 ASMTEN00008307-070008 0.959 0.199 Yes
ASMTEN00008308-070002 ASMTEN00008308-070002 0.650 0.477 No
ASMTEN00008308-070003 ASMTEN00008308-070003 0.985 0.122 Yes
ASMTEN00008308-070006 ASMTEN00008308-070006 0.565 0.496 No
ASMTEN00008308-070008 ASMTEN00008308-070008 0.781 0.413 No
ASMTEN00008308-070011 ASMTEN00008308-070011 0.768 0.422 No
ASMTEN00008308-070013 ASMTEN00008308-070013 0.384 0.486 Yes
ASMTEN00008309-070001 ASMTEN00008309-070001 0.818 0.386 No
ASMTEN00008309-070002 ASMTEN00008309-070002 0.469 0.499 No
ASMTEN00008309-070003 ASMTEN00008309-070003 0.482 0.500 No
ASMTEN00008401-070001 ASMTEN00008401-070001 0.605 0.489 No
ASMTEN00008401-070002 ASMTEN00008401-070002 0.888 0.316 No
ASMTEN00008401-070003 ASMTEN00008401-070003 0.582 0.493 No
ASMTEN00008401-070004 ASMTEN00008401-070004 0.941 0.236 Yes
ASMTEN00008402-070005 ASMTEN00008402-070005 0.504 0.500 No
ASMTEN00008402-070009-01 ASMTEN00008402-070009-01 0.454 0.498 No
ASMTEN00008402-070017 ASMTEN00008402-070017 0.402 0.490 Yes
ASMTEN00008402-070018-01 ASMTEN00008402-070018-01 0.869 0.337 No
ASMTEN00008403-070001 ASMTEN00008403-070001 0.317 0.465 Yes
ASMTEN00008403-070002 ASMTEN00008403-070002 0.216 0.411 Yes
ASMTEN00008403-070003 ASMTEN00008403-070003 0.296 0.457 Yes
ASMTEN00008403-070004 ASMTEN00008403-070004 0.877 0.329 No
ASMTEN00008405-070001 ASMTEN00008405-070001 0.925 0.264 Yes
ASMTEN00008405-070004 ASMTEN00008405-070004 0.879 0.326 No
ASMTEN00008405-070005 ASMTEN00008405-070005 0.879 0.326 No
ASMTEN00008405-070006 ASMTEN00008405-070006 0.665 0.472 No
ASMTEN00008406-070001 ASMTEN00008406-070001 0.841 0.366 No
ASMTEN00008406-070003 ASMTEN00008406-070003 0.356 0.479 Yes
ASMTEN00008406-070004 ASMTEN00008406-070004 0.764 0.425 No
ASMTEN00008406-070005 ASMTEN00008406-070005 0.426 0.495 No

Problematic Items

kable(data.frame(Problematic_Items = Form1_problematic),
      caption = "Problematic Items for Form 1") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Problematic Items for Form 1
Problematic_Items
ASMTEN00000102-090023-01
ASMTEN00000102-090095-01
ASMTEN00008102-060005
ASMTEN00008103-060003
ASMTEN00008103-060007
ASMTEN00008103-060009
ASMTEN00008104-060010
ASMTEN00008104-060011
ASMTEN00008105-060008
ASMTEN00008105-060011
ASMTEN00008106-060001
ASMTEN00008106-060002
ASMTEN00008106-060003
ASMTEN00008106-060004
ASMTEN00008202-060014
ASMTEN00008202-060016
ASMTEN00008204-060004
ASMTEN00008205-060004
ASMTEN00008206-060005
ASMTEN00008207-060003
ASMTEN00008208-060006
ASMTEN00008301-070004
ASMTEN00008302-070003
ASMTEN00008303-070005
ASMTEN00008306-070002
ASMTEN00008306-070003
ASMTEN00008307-070006
ASMTEN00008307-070008
ASMTEN00008308-070003
ASMTEN00008308-070013
ASMTEN00008401-070004
ASMTEN00008402-070017
ASMTEN00008403-070001
ASMTEN00008403-070002
ASMTEN00008403-070003
ASMTEN00008405-070001
ASMTEN00008406-070003

Item Response Theory Results

Test Information Curve

Form1_clean <- remove_problematic_items(Form1, Form1_problematic)
Form1_IRT <- mirt(Form1_clean, 1, itemtype = "2PL")
## 
Iteration: 1, Log-Lik: -69729.645, Max-Change: 1.06783
Iteration: 2, Log-Lik: -68632.223, Max-Change: 0.42755
Iteration: 3, Log-Lik: -68303.653, Max-Change: 0.32795
Iteration: 4, Log-Lik: -68149.162, Max-Change: 0.16023
Iteration: 5, Log-Lik: -68079.262, Max-Change: 0.16607
Iteration: 6, Log-Lik: -68054.782, Max-Change: 0.09538
Iteration: 7, Log-Lik: -68043.719, Max-Change: 0.07420
Iteration: 8, Log-Lik: -68038.319, Max-Change: 0.05247
Iteration: 9, Log-Lik: -68035.513, Max-Change: 0.03963
Iteration: 10, Log-Lik: -68032.120, Max-Change: 0.01507
Iteration: 11, Log-Lik: -68031.840, Max-Change: 0.01401
Iteration: 12, Log-Lik: -68031.676, Max-Change: 0.00985
Iteration: 13, Log-Lik: -68031.514, Max-Change: 0.00721
Iteration: 14, Log-Lik: -68031.439, Max-Change: 0.00586
Iteration: 15, Log-Lik: -68031.409, Max-Change: 0.00397
Iteration: 16, Log-Lik: -68031.364, Max-Change: 0.00371
Iteration: 17, Log-Lik: -68031.353, Max-Change: 0.00179
Iteration: 18, Log-Lik: -68031.349, Max-Change: 0.00335
Iteration: 19, Log-Lik: -68031.344, Max-Change: 0.00168
Iteration: 20, Log-Lik: -68031.342, Max-Change: 0.00200
Iteration: 21, Log-Lik: -68031.342, Max-Change: 0.00093
Iteration: 22, Log-Lik: -68031.340, Max-Change: 0.00044
Iteration: 23, Log-Lik: -68031.340, Max-Change: 0.00114
Iteration: 24, Log-Lik: -68031.339, Max-Change: 0.00030
Iteration: 25, Log-Lik: -68031.339, Max-Change: 0.00131
Iteration: 26, Log-Lik: -68031.339, Max-Change: 0.00045
Iteration: 27, Log-Lik: -68031.339, Max-Change: 0.00108
Iteration: 28, Log-Lik: -68031.339, Max-Change: 0.00061
Iteration: 29, Log-Lik: -68031.338, Max-Change: 0.00028
Iteration: 30, Log-Lik: -68031.338, Max-Change: 0.00064
Iteration: 31, Log-Lik: -68031.338, Max-Change: 0.00037
Iteration: 32, Log-Lik: -68031.337, Max-Change: 0.00018
Iteration: 33, Log-Lik: -68031.337, Max-Change: 0.00046
Iteration: 34, Log-Lik: -68031.337, Max-Change: 0.00021
Iteration: 35, Log-Lik: -68031.337, Max-Change: 0.00049
Iteration: 36, Log-Lik: -68031.337, Max-Change: 0.00016
Iteration: 37, Log-Lik: -68031.337, Max-Change: 0.00014
Iteration: 38, Log-Lik: -68031.337, Max-Change: 0.00037
Iteration: 39, Log-Lik: -68031.337, Max-Change: 0.00056
Iteration: 40, Log-Lik: -68031.337, Max-Change: 0.00012
Iteration: 41, Log-Lik: -68031.337, Max-Change: 0.00026
Iteration: 42, Log-Lik: -68031.337, Max-Change: 0.00045
Iteration: 43, Log-Lik: -68031.337, Max-Change: 0.00010
plot(Form1_IRT, type = "info", main = "Test Information Curve for Form 1")

Item Parameters

Form1_Params <- get_item_params(Form1_IRT)
kable(Form1_Params, caption = "Item Parameters for Form 1", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Item Parameters for Form 1
item items.a items.b items.g items.u
ASMTEN00000102-090016 ASMTEN00000102-090016 0.710 -2.476 0 1
ASMTEN00000102-090022-01 ASMTEN00000102-090022-01 -0.441 3.412 0 1
ASMTEN00000102-090051 ASMTEN00000102-090051 -0.185 0.790 0 1
ASMTEN00008102-060002 ASMTEN00008102-060002 1.288 -1.611 0 1
ASMTEN00008102-060004 ASMTEN00008102-060004 0.621 0.149 0 1
ASMTEN00008102-060006 ASMTEN00008102-060006 0.172 -3.021 0 1
ASMTEN00008103-060001 ASMTEN00008103-060001 -1.026 0.207 0 1
ASMTEN00008104-060001 ASMTEN00008104-060001 0.748 -0.126 0 1
ASMTEN00008104-060006 ASMTEN00008104-060006 0.580 -1.220 0 1
ASMTEN00008105-060002 ASMTEN00008105-060002 0.497 -1.179 0 1
ASMTEN00008105-060009 ASMTEN00008105-060009 1.165 -1.596 0 1
ASMTEN00008201-060001 ASMTEN00008201-060001 1.029 -0.406 0 1
ASMTEN00008201-060002 ASMTEN00008201-060002 1.222 -0.615 0 1
ASMTEN00008201-060003 ASMTEN00008201-060003 1.253 -1.786 0 1
ASMTEN00008202-060003 ASMTEN00008202-060003 1.890 -0.205 0 1
ASMTEN00008202-060011 ASMTEN00008202-060011 0.619 -1.281 0 1
ASMTEN00008202-060012 ASMTEN00008202-060012 0.710 -2.202 0 1
ASMTEN00008202-060013 ASMTEN00008202-060013 -0.456 2.049 0 1
ASMTEN00008202-060017 ASMTEN00008202-060017 1.362 -0.822 0 1
ASMTEN00008202-060018 ASMTEN00008202-060018 -0.083 3.662 0 1
ASMTEN00008203-060001 ASMTEN00008203-060001 0.431 -0.068 0 1
ASMTEN00008203-060003 ASMTEN00008203-060003 0.544 -1.931 0 1
ASMTEN00008203-060006 ASMTEN00008203-060006 0.337 -4.722 0 1
ASMTEN00008203-060007 ASMTEN00008203-060007 0.534 -2.637 0 1
ASMTEN00008203-060013 ASMTEN00008203-060013 -0.390 1.185 0 1
ASMTEN00008204-060010 ASMTEN00008204-060010 1.599 -0.492 0 1
ASMTEN00008205-060009 ASMTEN00008205-060009 0.512 0.035 0 1
ASMTEN00008205-060010 ASMTEN00008205-060010 0.638 -2.973 0 1
ASMTEN00008205-060013 ASMTEN00008205-060013 0.158 -2.259 0 1
ASMTEN00008205-060019 ASMTEN00008205-060019 -0.386 3.039 0 1
ASMTEN00008205-060025 ASMTEN00008205-060025 1.661 -1.594 0 1
ASMTEN00008206-060001 ASMTEN00008206-060001 0.675 -1.776 0 1
ASMTEN00008206-060002 ASMTEN00008206-060002 -0.570 0.618 0 1
ASMTEN00008206-060007 ASMTEN00008206-060007 0.680 -0.286 0 1
ASMTEN00008206-060008 ASMTEN00008206-060008 1.579 -1.337 0 1
ASMTEN00008207-060005 ASMTEN00008207-060005 1.418 -1.180 0 1
ASMTEN00008207-060007 ASMTEN00008207-060007 0.817 -0.493 0 1
ASMTEN00008207-060008 ASMTEN00008207-060008 0.235 -1.025 0 1
ASMTEN00008207-060009 ASMTEN00008207-060009 1.054 -1.440 0 1
ASMTEN00008207-060012 ASMTEN00008207-060012 0.767 -0.032 0 1
ASMTEN00008208-060001 ASMTEN00008208-060001 0.741 -0.768 0 1
ASMTEN00008208-060005 ASMTEN00008208-060005 1.541 -0.203 0 1
ASMTEN00008209-060001 ASMTEN00008209-060001 -0.309 0.115 0 1
ASMTEN00008209-060002 ASMTEN00008209-060002 0.039 -19.907 0 1
ASMTEN00008209-060003 ASMTEN00008209-060003 1.726 -1.507 0 1
ASMTEN00008209-060004 ASMTEN00008209-060004 1.484 -1.257 0 1
ASMTEN00008209-060006 ASMTEN00008209-060006 2.293 -0.375 0 1
ASMTEN00008301-070001 ASMTEN00008301-070001 0.647 -0.893 0 1
ASMTEN00008301-070005 ASMTEN00008301-070005 0.671 -1.106 0 1
ASMTEN00008301-070006 ASMTEN00008301-070006 2.128 -0.336 0 1
ASMTEN00008301-070007 ASMTEN00008301-070007 -0.254 0.109 0 1
ASMTEN00008302-070001 ASMTEN00008302-070001 -0.179 -1.538 0 1
ASMTEN00008302-070005 ASMTEN00008302-070005 0.890 -2.515 0 1
ASMTEN00008302-070010 ASMTEN00008302-070010 0.666 -3.067 0 1
ASMTEN00008303-070001 ASMTEN00008303-070001 0.263 -3.956 0 1
ASMTEN00008303-070002 ASMTEN00008303-070002 1.118 -0.198 0 1
ASMTEN00008303-070003 ASMTEN00008303-070003 0.971 -2.377 0 1
ASMTEN00008303-070006 ASMTEN00008303-070006 -0.065 7.617 0 1
ASMTEN00008304-070001 ASMTEN00008304-070001 1.086 -1.247 0 1
ASMTEN00008304-070003 ASMTEN00008304-070003 0.842 0.012 0 1
ASMTEN00008304-070004 ASMTEN00008304-070004 0.568 0.638 0 1
ASMTEN00008304-070008 ASMTEN00008304-070008 0.342 0.581 0 1
ASMTEN00008304-070013 ASMTEN00008304-070013 0.647 -0.454 0 1
ASMTEN00008306-070004 ASMTEN00008306-070004 0.989 -0.801 0 1
ASMTEN00008306-070005 ASMTEN00008306-070005 0.583 -1.896 0 1
ASMTEN00008306-070009 ASMTEN00008306-070009 1.331 -0.596 0 1
ASMTEN00008307-070002 ASMTEN00008307-070002 -0.787 0.652 0 1
ASMTEN00008307-070005 ASMTEN00008307-070005 -0.610 2.588 0 1
ASMTEN00008308-070002 ASMTEN00008308-070002 1.749 -0.581 0 1
ASMTEN00008308-070006 ASMTEN00008308-070006 0.072 -3.636 0 1
ASMTEN00008308-070008 ASMTEN00008308-070008 1.383 -1.206 0 1
ASMTEN00008308-070011 ASMTEN00008308-070011 0.605 -2.127 0 1
ASMTEN00008309-070001 ASMTEN00008309-070001 1.129 -1.601 0 1
ASMTEN00008309-070002 ASMTEN00008309-070002 1.531 0.014 0 1
ASMTEN00008309-070003 ASMTEN00008309-070003 0.679 0.077 0 1
ASMTEN00008401-070001 ASMTEN00008401-070001 0.822 -0.629 0 1
ASMTEN00008401-070002 ASMTEN00008401-070002 0.718 -3.107 0 1
ASMTEN00008401-070003 ASMTEN00008401-070003 0.165 -2.031 0 1
ASMTEN00008402-070005 ASMTEN00008402-070005 0.711 -0.063 0 1
ASMTEN00008402-070009-01 ASMTEN00008402-070009-01 -0.404 -0.486 0 1
ASMTEN00008402-070018-01 ASMTEN00008402-070018-01 0.487 -4.046 0 1
ASMTEN00008403-070004 ASMTEN00008403-070004 1.091 -2.095 0 1
ASMTEN00008405-070004 ASMTEN00008405-070004 0.877 -2.522 0 1
ASMTEN00008405-070005 ASMTEN00008405-070005 0.894 -2.481 0 1
ASMTEN00008405-070006 ASMTEN00008405-070006 0.674 -1.139 0 1
ASMTEN00008406-070001 ASMTEN00008406-070001 1.686 -1.352 0 1
ASMTEN00008406-070004 ASMTEN00008406-070004 1.361 -1.134 0 1
ASMTEN00008406-070005 ASMTEN00008406-070005 0.681 0.438 0 1

Response Frequencies

Form1_freq <- calculate_frequencies_wide(Form1_respcode)
kable(Form1_freq, caption = "Response Frequencies for Form 1") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Response Frequencies for Form 1
Item Response_1 Response_2 Response_3 Response_4 Response_5 Response_6 Response_7 Response_8
Response 1 54 50 1117 117 0 0 0 0
Response 10 749 124 426 39 0 0 0 0
Response 100 1045 30 138 125 0 0 0 0
Response 101 1028 85 87 138 0 0 0 0
Response 102 329 356 134 519 0 0 0 0
Response 103 60 75 111 1092 0 0 0 0
Response 104 269 58 629 382 0 0 0 0
Response 105 645 85 481 127 0 0 0 0
Response 106 80 806 132 320 0 0 0 0
Response 107 22 100 25 1191 0 0 0 0
Response 108 151 251 779 157 0 0 0 0
Response 109 32 1258 13 35 0 0 0 0
Response 11 3 1329 4 2 0 0 0 0
Response 110 30 677 406 225 0 0 0 0
Response 111 500 81 153 604 0 0 0 0
Response 112 184 535 199 420 0 0 0 0
Response 113 85 1164 75 14 0 0 0 0
Response 114 170 379 364 425 0 0 0 0
Response 115 87 203 765 283 0 0 0 0
Response 116 76 397 570 295 0 0 0 0
Response 117 71 80 1172 15 0 0 0 0
Response 118 12 50 1238 38 0 0 0 0
Response 119 37 47 77 1177 0 0 0 0
Response 12 2 10 1325 1 0 0 0 0
Response 120 74 19 68 1177 0 0 0 0
Response 121 173 201 72 892 0 0 0 0
Response 122 88 49 1122 79 0 0 0 0
Response 123 242 446 171 479 0 0 0 0
Response 124 70 60 1020 188 0 0 0 0
Response 125 347 66 577 348 0 0 0 0
Response 13 1194 108 5 31 0 0 0 0
Response 14 410 187 690 51 0 0 0 0
Response 15 884 158 196 100 0 0 0 0
Response 16 10 47 2 1279 0 0 0 0
Response 17 1335 2 1 0 0 0 0 0
Response 18 49 24 410 855 0 0 0 0
Response 19 17 470 468 383 0 0 0 0
Response 2 67 75 1085 111 0 0 0 0
Response 20 58 172 1097 11 0 0 0 0
Response 21 13 408 457 460 0 0 0 0
Response 22 2 9 1317 10 0 0 0 0
Response 23 1283 30 18 7 0 0 0 0
Response 24 1320 13 5 0 0 0 0 0
Response 25 1295 20 5 18 0 0 0 0
Response 26 37 457 771 73 0 0 0 0
Response 27 335 57 97 849 0 0 0 0
Response 28 1152 29 39 118 0 0 0 0
Response 29 88 712 254 284 0 0 0 0
Response 3 5 3 4 1326 0 0 0 0
Response 30 898 9 415 16 0 0 0 0
Response 31 15 215 1079 29 0 0 0 0
Response 32 170 156 949 63 0 0 0 0
Response 33 1244 19 51 24 0 0 0 0
Response 34 1252 3 74 9 0 0 0 0
Response 35 920 64 228 126 0 0 0 0
Response 36 762 242 179 155 0 0 0 0
Response 37 203 187 674 274 0 0 0 0
Response 38 973 74 140 151 0 0 0 0
Response 39 6 1104 10 218 0 0 0 0
Response 4 710 246 209 173 0 0 0 0
Response 40 43 166 1061 68 0 0 0 0
Response 41 817 283 110 128 0 0 0 0
Response 42 123 31 303 66 450 82 198 85
Response 43 32 85 821 400 0 0 0 0
Response 44 1268 20 31 19 0 0 0 0
Response 45 658 555 66 59 0 0 0 0
Response 46 85 50 1145 58 0 0 0 0
Response 47 19 74 458 787 0 0 0 0
Response 48 91 73 99 162 58 855 0 0
Response 49 36 1180 32 90 0 0 0 0
Response 5 1296 15 10 17 0 0 0 0
Response 50 78 1002 77 181 0 0 0 0
Response 51 133 72 781 352 0 0 0 0
Response 52 3 19 4 1312 0 0 0 0
Response 53 131 210 718 279 0 0 0 0
Response 54 141 39 52 1106 0 0 0 0
Response 55 1225 45 21 47 0 0 0 0
Response 56 69 111 1042 116 0 0 0 0
Response 57 775 241 186 136 0 0 0 0
Response 58 262 751 131 194 0 0 0 0
Response 59 45 93 1050 150 0 0 0 0
Response 6 167 20 28 1123 0 0 0 0
Response 60 160 668 460 50 0 0 0 0
Response 61 148 162 192 836 0 0 0 0
Response 62 705 372 37 224 0 0 0 0
Response 63 1204 75 21 38 0 0 0 0
Response 64 209 58 682 389 0 0 0 0
Response 65 273 915 55 95 0 0 0 0
Response 66 1168 29 65 76 0 0 0 0
Response 67 1076 67 26 169 0 0 0 0
Response 68 227 53 797 261 0 0 0 0
Response 69 126 63 839 310 0 0 0 0
Response 7 157 634 117 430 0 0 0 0
Response 70 1 1264 67 6 0 0 0 0
Response 71 100 59 292 887 0 0 0 0
Response 72 174 304 87 773 0 0 0 0
Response 73 154 369 136 679 0 0 0 0
Response 74 288 130 344 576 0 0 0 0
Response 75 191 539 528 80 0 0 0 0
Response 76 1180 41 70 47 0 0 0 0
Response 77 124 15 1168 31 0 0 0 0
Response 78 996 285 46 11 0 0 0 0
Response 79 80 497 715 46 0 0 0 0
Response 8 23 79 24 1212 0 0 0 0
Response 80 62 72 1181 23 0 0 0 0
Response 81 746 163 15 414 0 0 0 0
Response 82 169 258 79 832 0 0 0 0
Response 83 146 1014 147 31 0 0 0 0
Response 84 72 369 666 231 0 0 0 0
Response 85 164 549 383 242 0 0 0 0
Response 86 50 123 557 608 0 0 0 0
Response 87 310 73 20 84 12 162 677 0
Response 88 1241 6 83 8 0 0 0 0
Response 89 6 17 22 1293 0 0 0 0
Response 9 840 51 57 390 0 0 0 0
Response 90 186 881 193 78 0 0 0 0
Response 91 993 146 36 163 0 0 0 0
Response 92 162 847 218 111 0 0 0 0
Response 93 32 57 831 418 0 0 0 0
Response 94 28 84 138 1088 0 0 0 0
Response 95 306 519 281 232 0 0 0 0
Response 96 2 1285 13 38 0 0 0 0
Response 97 178 236 873 51 0 0 0 0
Response 98 1320 4 12 2 0 0 0 0
Response 99 754 282 143 159 0 0 0 0

Form 2 Analysis

Classical Test Theory Results

CTT Summary

Form2_CTT <- ctt_analysis(Form2)
Form2_problematic <- identify_problematic_items(Form2_CTT)

Form2_CTT %>%
  mutate(problematic = ifelse(item %in% Form2_problematic, "Yes", "No")) %>%
  select(item, mean, sd, problematic) %>%
  kable(caption = "Classical Test Theory Results for Form 2", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive")) %>%
  row_spec(which(Form2_CTT$item %in% Form2_problematic), background = "yellow")
Classical Test Theory Results for Form 2
item mean sd problematic
ASMTEN00000102-090019-01 ASMTEN00000102-090019-01 0.987 0.115 Yes
ASMTEN00000102-090022-01 ASMTEN00000102-090022-01 0.822 0.383 No
ASMTEN00000102-090023-01 ASMTEN00000102-090023-01 0.986 0.118 Yes
ASMTEN00000102-090025-03 ASMTEN00000102-090025-03 0.926 0.261 Yes
ASMTEN00000102-090095-01 ASMTEN00000102-090095-01 0.965 0.183 Yes
ASMTEN00008102-060002 ASMTEN00008102-060002 0.854 0.353 No
ASMTEN00008102-060003 ASMTEN00008102-060003 0.756 0.429 No
ASMTEN00008102-060008 ASMTEN00008102-060008 0.767 0.423 No
ASMTEN00008102-060009 ASMTEN00008102-060009 0.847 0.360 No
ASMTEN00008103-060001 ASMTEN00008103-060001 0.556 0.497 No
ASMTEN00008103-060002 ASMTEN00008103-060002 0.496 0.500 No
ASMTEN00008103-060003 ASMTEN00008103-060003 0.997 0.054 Yes
ASMTEN00008103-060004 ASMTEN00008103-060004 0.798 0.401 No
ASMTEN00008103-060006 ASMTEN00008103-060006 0.774 0.419 No
ASMTEN00008104-060002 ASMTEN00008104-060002 0.579 0.494 No
ASMTEN00008104-060005 ASMTEN00008104-060005 0.542 0.498 No
ASMTEN00008104-060009 ASMTEN00008104-060009 0.970 0.172 Yes
ASMTEN00008104-060011 ASMTEN00008104-060011 0.996 0.066 Yes
ASMTEN00008105-060004 ASMTEN00008105-060004 0.951 0.217 Yes
ASMTEN00008105-060009 ASMTEN00008105-060009 0.785 0.411 No
ASMTEN00008105-060010 ASMTEN00008105-060010 0.903 0.296 Yes
ASMTEN00008105-060011 ASMTEN00008105-060011 0.271 0.445 Yes
ASMTEN00008106-060001 ASMTEN00008106-060001 0.982 0.135 Yes
ASMTEN00008106-060002 ASMTEN00008106-060002 0.947 0.224 Yes
ASMTEN00008106-060003 ASMTEN00008106-060003 0.980 0.140 Yes
ASMTEN00008106-060004 ASMTEN00008106-060004 0.959 0.197 Yes
ASMTEN00008201-060001 ASMTEN00008201-060001 0.587 0.493 No
ASMTEN00008201-060002 ASMTEN00008201-060002 0.617 0.486 No
ASMTEN00008202-060003 ASMTEN00008202-060003 0.541 0.499 No
ASMTEN00008202-060009 ASMTEN00008202-060009 0.606 0.489 No
ASMTEN00008202-060011 ASMTEN00008202-060011 0.674 0.469 No
ASMTEN00008202-060012 ASMTEN00008202-060012 0.817 0.387 No
ASMTEN00008202-060014 ASMTEN00008202-060014 0.919 0.273 Yes
ASMTEN00008202-060015 ASMTEN00008202-060015 0.722 0.448 No
ASMTEN00008202-060016 ASMTEN00008202-060016 0.926 0.263 Yes
ASMTEN00008203-060001 ASMTEN00008203-060001 0.445 0.497 No
ASMTEN00008203-060002 ASMTEN00008203-060002 0.611 0.488 No
ASMTEN00008203-060005 ASMTEN00008203-060005 0.497 0.500 No
ASMTEN00008203-060006 ASMTEN00008203-060006 0.855 0.352 No
ASMTEN00008203-060013 ASMTEN00008203-060013 0.601 0.490 No
ASMTEN00008204-060001 ASMTEN00008204-060001 0.635 0.482 No
ASMTEN00008204-060007 ASMTEN00008204-060007 0.662 0.473 No
ASMTEN00008204-060010 ASMTEN00008204-060010 0.626 0.484 No
ASMTEN00008204-060011 ASMTEN00008204-060011 0.652 0.477 No
ASMTEN00008205-060009 ASMTEN00008205-060009 0.504 0.500 No
ASMTEN00008205-060010 ASMTEN00008205-060010 0.862 0.345 No
ASMTEN00008205-060013 ASMTEN00008205-060013 0.589 0.492 No
ASMTEN00008205-060014 ASMTEN00008205-060014 0.302 0.459 Yes
ASMTEN00008205-060025 ASMTEN00008205-060025 0.880 0.325 No
ASMTEN00008206-060003 ASMTEN00008206-060003 0.668 0.471 No
ASMTEN00008206-060004 ASMTEN00008206-060004 0.868 0.338 No
ASMTEN00008206-060005 ASMTEN00008206-060005 0.971 0.167 Yes
ASMTEN00008206-060006 ASMTEN00008206-060006 0.654 0.476 No
ASMTEN00008206-060007 ASMTEN00008206-060007 0.541 0.499 No
ASMTEN00008206-060008 ASMTEN00008206-060008 0.826 0.380 No
ASMTEN00008207-060004 ASMTEN00008207-060004 0.475 0.500 No
ASMTEN00008207-060005 ASMTEN00008207-060005 0.740 0.439 No
ASMTEN00008207-060006 ASMTEN00008207-060006 0.618 0.486 No
ASMTEN00008207-060007 ASMTEN00008207-060007 0.541 0.498 No
ASMTEN00008207-060010 ASMTEN00008207-060010 0.862 0.345 No
ASMTEN00008207-060012 ASMTEN00008207-060012 0.487 0.500 No
ASMTEN00008208-060002 ASMTEN00008208-060002 0.646 0.478 No
ASMTEN00008208-060003 ASMTEN00008208-060003 0.703 0.457 No
ASMTEN00008208-060005 ASMTEN00008208-060005 0.533 0.499 No
ASMTEN00008209-060002 ASMTEN00008209-060002 0.673 0.469 No
ASMTEN00008209-060003 ASMTEN00008209-060003 0.866 0.341 No
ASMTEN00008209-060004 ASMTEN00008209-060004 0.791 0.407 No
ASMTEN00008209-060005 ASMTEN00008209-060005 0.583 0.493 No
ASMTEN00008209-060006 ASMTEN00008209-060006 0.589 0.492 No
ASMTEN00008301-070001 ASMTEN00008301-070001 0.601 0.490 No
ASMTEN00008301-070002 ASMTEN00008301-070002 0.475 0.500 No
ASMTEN00008301-070003 ASMTEN00008301-070003 0.752 0.432 No
ASMTEN00008301-070005 ASMTEN00008301-070005 0.649 0.477 No
ASMTEN00008301-070006 ASMTEN00008301-070006 0.566 0.496 No
ASMTEN00008302-070007 ASMTEN00008302-070007 0.684 0.465 No
ASMTEN00008302-070009 ASMTEN00008302-070009 0.508 0.500 No
ASMTEN00008302-070015 ASMTEN00008302-070015 0.590 0.492 No
ASMTEN00008303-070002 ASMTEN00008303-070002 0.509 0.500 No
ASMTEN00008303-070003 ASMTEN00008303-070003 0.847 0.360 No
ASMTEN00008303-070004 ASMTEN00008303-070004 0.492 0.500 No
ASMTEN00008303-070005 ASMTEN00008303-070005 0.291 0.455 Yes
ASMTEN00008303-070006 ASMTEN00008303-070006 0.623 0.485 No
ASMTEN00008303-070009 ASMTEN00008303-070009 0.956 0.204 Yes
ASMTEN00008304-070001 ASMTEN00008304-070001 0.737 0.440 No
ASMTEN00008304-070004 ASMTEN00008304-070004 0.463 0.499 No
ASMTEN00008304-070006 ASMTEN00008304-070006 0.603 0.489 No
ASMTEN00008304-070007 ASMTEN00008304-070007 0.599 0.490 No
ASMTEN00008306-070002 ASMTEN00008306-070002 0.926 0.263 Yes
ASMTEN00008306-070003 ASMTEN00008306-070003 0.964 0.187 Yes
ASMTEN00008306-070005 ASMTEN00008306-070005 0.710 0.454 No
ASMTEN00008306-070006 ASMTEN00008306-070006 0.661 0.474 No
ASMTEN00008306-070007 ASMTEN00008306-070007 0.561 0.496 No
ASMTEN00008307-070001 ASMTEN00008307-070001 0.647 0.478 No
ASMTEN00008307-070003 ASMTEN00008307-070003 0.819 0.385 No
ASMTEN00008307-070005 ASMTEN00008307-070005 0.823 0.382 No
ASMTEN00008307-070008 ASMTEN00008307-070008 0.952 0.214 Yes
ASMTEN00008308-070002 ASMTEN00008308-070002 0.606 0.489 No
ASMTEN00008308-070003 ASMTEN00008308-070003 0.982 0.135 Yes
ASMTEN00008308-070004 ASMTEN00008308-070004 0.474 0.500 No
ASMTEN00008308-070005 ASMTEN00008308-070005 0.772 0.420 No
ASMTEN00008308-070008 ASMTEN00008308-070008 0.759 0.428 No
ASMTEN00008308-070009 ASMTEN00008308-070009 0.552 0.498 No
ASMTEN00008309-070001 ASMTEN00008309-070001 0.837 0.369 No
ASMTEN00008309-070002 ASMTEN00008309-070002 0.459 0.498 No
ASMTEN00008309-070003 ASMTEN00008309-070003 0.494 0.500 No
ASMTEN00008401-070001 ASMTEN00008401-070001 0.600 0.490 No
ASMTEN00008401-070002 ASMTEN00008401-070002 0.882 0.322 No
ASMTEN00008401-070003 ASMTEN00008401-070003 0.565 0.496 No
ASMTEN00008401-070004 ASMTEN00008401-070004 0.952 0.214 Yes
ASMTEN00008402-070002 ASMTEN00008402-070002 0.322 0.468 Yes
ASMTEN00008402-070016 ASMTEN00008402-070016 0.489 0.500 No
ASMTEN00008402-070017 ASMTEN00008402-070017 0.404 0.491 Yes
ASMTEN00008402-070018-01 ASMTEN00008402-070018-01 0.870 0.336 No
ASMTEN00008403-070001 ASMTEN00008403-070001 0.339 0.473 Yes
ASMTEN00008403-070002 ASMTEN00008403-070002 0.243 0.429 Yes
ASMTEN00008403-070003 ASMTEN00008403-070003 0.291 0.454 Yes
ASMTEN00008403-070004 ASMTEN00008403-070004 0.859 0.348 No
ASMTEN00008405-070001 ASMTEN00008405-070001 0.917 0.276 Yes
ASMTEN00008405-070004 ASMTEN00008405-070004 0.881 0.324 No
ASMTEN00008405-070006 ASMTEN00008405-070006 0.708 0.455 No
ASMTEN00008405-070008 ASMTEN00008405-070008 0.750 0.433 No
ASMTEN00008406-070001 ASMTEN00008406-070001 0.846 0.361 No
ASMTEN00008406-070004 ASMTEN00008406-070004 0.749 0.434 No
ASMTEN00008406-070005 ASMTEN00008406-070005 0.452 0.498 No
ASMTEN00008406-070006 ASMTEN00008406-070006 0.919 0.273 Yes

Problematic Items

kable(data.frame(Problematic_Items = Form2_problematic),
      caption = "Problematic Items for Form 2") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Problematic Items for Form 2
Problematic_Items
ASMTEN00000102-090019-01
ASMTEN00000102-090023-01
ASMTEN00000102-090025-03
ASMTEN00000102-090095-01
ASMTEN00008103-060003
ASMTEN00008104-060009
ASMTEN00008104-060011
ASMTEN00008105-060004
ASMTEN00008105-060010
ASMTEN00008105-060011
ASMTEN00008106-060001
ASMTEN00008106-060002
ASMTEN00008106-060003
ASMTEN00008106-060004
ASMTEN00008202-060014
ASMTEN00008202-060016
ASMTEN00008205-060014
ASMTEN00008206-060005
ASMTEN00008303-070005
ASMTEN00008303-070009
ASMTEN00008306-070002
ASMTEN00008306-070003
ASMTEN00008307-070008
ASMTEN00008308-070003
ASMTEN00008401-070004
ASMTEN00008402-070002
ASMTEN00008402-070017
ASMTEN00008403-070001
ASMTEN00008403-070002
ASMTEN00008403-070003
ASMTEN00008405-070001
ASMTEN00008406-070006

Item Response Theory Results

Test Information Curve

Form2_clean <- remove_problematic_items(Form2, Form2_problematic)
Form2_IRT <- mirt(Form2_clean, 1, itemtype = "2PL")
## 
Iteration: 1, Log-Lik: -72746.731, Max-Change: 1.12729
Iteration: 2, Log-Lik: -71284.315, Max-Change: 0.65695
Iteration: 3, Log-Lik: -70659.625, Max-Change: 0.28403
Iteration: 4, Log-Lik: -70487.240, Max-Change: 0.16670
Iteration: 5, Log-Lik: -70431.394, Max-Change: 0.11671
Iteration: 6, Log-Lik: -70414.210, Max-Change: 0.08005
Iteration: 7, Log-Lik: -70407.386, Max-Change: 0.06386
Iteration: 8, Log-Lik: -70403.233, Max-Change: 0.06080
Iteration: 9, Log-Lik: -70401.017, Max-Change: 0.04407
Iteration: 10, Log-Lik: -70398.001, Max-Change: 0.02315
Iteration: 11, Log-Lik: -70397.539, Max-Change: 0.02076
Iteration: 12, Log-Lik: -70397.263, Max-Change: 0.01588
Iteration: 13, Log-Lik: -70396.620, Max-Change: 0.00564
Iteration: 14, Log-Lik: -70396.598, Max-Change: 0.00390
Iteration: 15, Log-Lik: -70396.583, Max-Change: 0.00390
Iteration: 16, Log-Lik: -70396.565, Max-Change: 0.00240
Iteration: 17, Log-Lik: -70396.557, Max-Change: 0.00102
Iteration: 18, Log-Lik: -70396.553, Max-Change: 0.00108
Iteration: 19, Log-Lik: -70396.549, Max-Change: 0.00046
Iteration: 20, Log-Lik: -70396.549, Max-Change: 0.00125
Iteration: 21, Log-Lik: -70396.547, Max-Change: 0.00153
Iteration: 22, Log-Lik: -70396.546, Max-Change: 0.00038
Iteration: 23, Log-Lik: -70396.545, Max-Change: 0.00102
Iteration: 24, Log-Lik: -70396.544, Max-Change: 0.00128
Iteration: 25, Log-Lik: -70396.543, Max-Change: 0.00032
Iteration: 26, Log-Lik: -70396.543, Max-Change: 0.00085
Iteration: 27, Log-Lik: -70396.542, Max-Change: 0.00109
Iteration: 28, Log-Lik: -70396.541, Max-Change: 0.00027
Iteration: 29, Log-Lik: -70396.541, Max-Change: 0.00067
Iteration: 30, Log-Lik: -70396.541, Max-Change: 0.00109
Iteration: 31, Log-Lik: -70396.540, Max-Change: 0.00026
Iteration: 32, Log-Lik: -70396.540, Max-Change: 0.00059
Iteration: 33, Log-Lik: -70396.540, Max-Change: 0.00021
Iteration: 34, Log-Lik: -70396.540, Max-Change: 0.00092
Iteration: 35, Log-Lik: -70396.539, Max-Change: 0.00030
Iteration: 36, Log-Lik: -70396.539, Max-Change: 0.00069
Iteration: 37, Log-Lik: -70396.539, Max-Change: 0.00039
Iteration: 38, Log-Lik: -70396.539, Max-Change: 0.00018
Iteration: 39, Log-Lik: -70396.539, Max-Change: 0.00043
Iteration: 40, Log-Lik: -70396.538, Max-Change: 0.00021
Iteration: 41, Log-Lik: -70396.538, Max-Change: 0.00049
Iteration: 42, Log-Lik: -70396.538, Max-Change: 0.00017
Iteration: 43, Log-Lik: -70396.538, Max-Change: 0.00015
Iteration: 44, Log-Lik: -70396.538, Max-Change: 0.00035
Iteration: 45, Log-Lik: -70396.538, Max-Change: 0.00057
Iteration: 46, Log-Lik: -70396.538, Max-Change: 0.00015
Iteration: 47, Log-Lik: -70396.538, Max-Change: 0.00034
Iteration: 48, Log-Lik: -70396.538, Max-Change: 0.00011
Iteration: 49, Log-Lik: -70396.538, Max-Change: 0.00049
Iteration: 50, Log-Lik: -70396.538, Max-Change: 0.00017
Iteration: 51, Log-Lik: -70396.538, Max-Change: 0.00039
Iteration: 52, Log-Lik: -70396.538, Max-Change: 0.00021
Iteration: 53, Log-Lik: -70396.538, Max-Change: 0.00010
plot(Form2_IRT, type = "info", main = "Test Information Curve for Form 2")

Item Parameters

Form2_Params <- get_item_params(Form2_IRT)
kable(Form2_Params, caption = "Item Parameters for Form 2", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Item Parameters for Form 2
item items.a items.b items.g items.u
ASMTEN00000102-090022-01 ASMTEN00000102-090022-01 -0.522 3.084 0 1
ASMTEN00008102-060002 ASMTEN00008102-060002 1.569 -1.462 0 1
ASMTEN00008102-060003 ASMTEN00008102-060003 -0.783 1.573 0 1
ASMTEN00008102-060008 ASMTEN00008102-060008 0.517 -2.436 0 1
ASMTEN00008102-060009 ASMTEN00008102-060009 0.595 -3.046 0 1
ASMTEN00008103-060001 ASMTEN00008103-060001 -1.271 0.118 0 1
ASMTEN00008103-060002 ASMTEN00008103-060002 0.592 -0.010 0 1
ASMTEN00008103-060004 ASMTEN00008103-060004 -0.916 1.688 0 1
ASMTEN00008103-060006 ASMTEN00008103-060006 0.482 -2.673 0 1
ASMTEN00008104-060002 ASMTEN00008104-060002 2.558 -0.343 0 1
ASMTEN00008104-060005 ASMTEN00008104-060005 0.213 -0.810 0 1
ASMTEN00008105-060009 ASMTEN00008105-060009 1.309 -1.256 0 1
ASMTEN00008201-060001 ASMTEN00008201-060001 0.999 -0.478 0 1
ASMTEN00008201-060002 ASMTEN00008201-060002 1.264 -0.549 0 1
ASMTEN00008202-060003 ASMTEN00008202-060003 1.990 -0.246 0 1
ASMTEN00008202-060009 ASMTEN00008202-060009 0.651 -0.756 0 1
ASMTEN00008202-060011 ASMTEN00008202-060011 0.543 -1.440 0 1
ASMTEN00008202-060012 ASMTEN00008202-060012 0.784 -2.104 0 1
ASMTEN00008202-060015 ASMTEN00008202-060015 1.357 -0.941 0 1
ASMTEN00008203-060001 ASMTEN00008203-060001 0.492 0.445 0 1
ASMTEN00008203-060002 ASMTEN00008203-060002 -0.484 0.952 0 1
ASMTEN00008203-060005 ASMTEN00008203-060005 1.585 -0.107 0 1
ASMTEN00008203-060006 ASMTEN00008203-060006 0.392 -4.653 0 1
ASMTEN00008203-060013 ASMTEN00008203-060013 -0.529 0.787 0 1
ASMTEN00008204-060001 ASMTEN00008204-060001 0.523 -1.143 0 1
ASMTEN00008204-060007 ASMTEN00008204-060007 0.606 -1.216 0 1
ASMTEN00008204-060010 ASMTEN00008204-060010 2.011 -0.484 0 1
ASMTEN00008204-060011 ASMTEN00008204-060011 1.461 -0.635 0 1
ASMTEN00008205-060009 ASMTEN00008205-060009 0.488 -0.061 0 1
ASMTEN00008205-060010 ASMTEN00008205-060010 0.507 -3.768 0 1
ASMTEN00008205-060013 ASMTEN00008205-060013 -0.019 19.098 0 1
ASMTEN00008205-060025 ASMTEN00008205-060025 1.057 -2.156 0 1
ASMTEN00008206-060003 ASMTEN00008206-060003 0.542 -1.386 0 1
ASMTEN00008206-060004 ASMTEN00008206-060004 -0.855 2.502 0 1
ASMTEN00008206-060006 ASMTEN00008206-060006 1.048 -0.772 0 1
ASMTEN00008206-060007 ASMTEN00008206-060007 0.507 -0.372 0 1
ASMTEN00008206-060008 ASMTEN00008206-060008 1.494 -1.350 0 1
ASMTEN00008207-060004 ASMTEN00008207-060004 -0.253 -0.417 0 1
ASMTEN00008207-060005 ASMTEN00008207-060005 1.754 -0.882 0 1
ASMTEN00008207-060006 ASMTEN00008207-060006 -0.346 1.411 0 1
ASMTEN00008207-060007 ASMTEN00008207-060007 0.767 -0.293 0 1
ASMTEN00008207-060010 ASMTEN00008207-060010 0.404 -4.657 0 1
ASMTEN00008207-060012 ASMTEN00008207-060012 0.719 0.026 0 1
ASMTEN00008208-060002 ASMTEN00008208-060002 -0.423 1.460 0 1
ASMTEN00008208-060003 ASMTEN00008208-060003 0.456 -1.982 0 1
ASMTEN00008208-060005 ASMTEN00008208-060005 1.713 -0.222 0 1
ASMTEN00008209-060002 ASMTEN00008209-060002 -0.041 17.833 0 1
ASMTEN00008209-060003 ASMTEN00008209-060003 2.061 -1.303 0 1
ASMTEN00008209-060004 ASMTEN00008209-060004 1.936 -1.020 0 1
ASMTEN00008209-060005 ASMTEN00008209-060005 0.046 -7.335 0 1
ASMTEN00008209-060006 ASMTEN00008209-060006 2.874 -0.361 0 1
ASMTEN00008301-070001 ASMTEN00008301-070001 0.642 -0.731 0 1
ASMTEN00008301-070002 ASMTEN00008301-070002 -0.328 -0.323 0 1
ASMTEN00008301-070003 ASMTEN00008301-070003 1.663 -0.950 0 1
ASMTEN00008301-070005 ASMTEN00008301-070005 0.758 -0.940 0 1
ASMTEN00008301-070006 ASMTEN00008301-070006 2.813 -0.309 0 1
ASMTEN00008302-070007 ASMTEN00008302-070007 0.436 -1.856 0 1
ASMTEN00008302-070009 ASMTEN00008302-070009 -0.603 0.020 0 1
ASMTEN00008302-070015 ASMTEN00008302-070015 0.624 -0.667 0 1
ASMTEN00008303-070002 ASMTEN00008303-070002 1.087 -0.122 0 1
ASMTEN00008303-070003 ASMTEN00008303-070003 1.146 -1.764 0 1
ASMTEN00008303-070004 ASMTEN00008303-070004 0.590 0.021 0 1
ASMTEN00008303-070006 ASMTEN00008303-070006 -0.224 2.254 0 1
ASMTEN00008304-070001 ASMTEN00008304-070001 0.750 -1.536 0 1
ASMTEN00008304-070004 ASMTEN00008304-070004 0.587 0.233 0 1
ASMTEN00008304-070006 ASMTEN00008304-070006 2.080 -0.417 0 1
ASMTEN00008304-070007 ASMTEN00008304-070007 0.734 -0.648 0 1
ASMTEN00008306-070005 ASMTEN00008306-070005 0.513 -1.860 0 1
ASMTEN00008306-070006 ASMTEN00008306-070006 1.299 -0.710 0 1
ASMTEN00008306-070007 ASMTEN00008306-070007 0.850 -0.385 0 1
ASMTEN00008307-070001 ASMTEN00008307-070001 2.165 -0.532 0 1
ASMTEN00008307-070003 ASMTEN00008307-070003 1.024 -1.715 0 1
ASMTEN00008307-070005 ASMTEN00008307-070005 -0.592 2.765 0 1
ASMTEN00008308-070002 ASMTEN00008308-070002 2.094 -0.422 0 1
ASMTEN00008308-070004 ASMTEN00008308-070004 0.857 0.070 0 1
ASMTEN00008308-070005 ASMTEN00008308-070005 2.151 -0.903 0 1
ASMTEN00008308-070008 ASMTEN00008308-070008 1.762 -0.949 0 1
ASMTEN00008308-070009 ASMTEN00008308-070009 1.488 -0.285 0 1
ASMTEN00008309-070001 ASMTEN00008309-070001 1.266 -1.579 0 1
ASMTEN00008309-070002 ASMTEN00008309-070002 1.883 -0.011 0 1
ASMTEN00008309-070003 ASMTEN00008309-070003 0.656 -0.007 0 1
ASMTEN00008401-070001 ASMTEN00008401-070001 0.555 -0.809 0 1
ASMTEN00008401-070002 ASMTEN00008401-070002 1.025 -2.237 0 1
ASMTEN00008401-070003 ASMTEN00008401-070003 0.116 -2.269 0 1
ASMTEN00008402-070016 ASMTEN00008402-070016 -0.349 -0.141 0 1
ASMTEN00008402-070018-01 ASMTEN00008402-070018-01 0.389 -5.013 0 1
ASMTEN00008403-070004 ASMTEN00008403-070004 1.683 -1.424 0 1
ASMTEN00008405-070004 ASMTEN00008405-070004 0.897 -2.478 0 1
ASMTEN00008405-070006 ASMTEN00008405-070006 0.694 -1.414 0 1
ASMTEN00008405-070008 ASMTEN00008405-070008 0.844 -1.484 0 1
ASMTEN00008406-070001 ASMTEN00008406-070001 1.511 -1.449 0 1
ASMTEN00008406-070004 ASMTEN00008406-070004 1.628 -0.951 0 1
ASMTEN00008406-070005 ASMTEN00008406-070005 0.689 0.255 0 1

Response Frequencies

Form2_freq <- calculate_frequencies_wide(Form2_respcode)
kable(Form2_freq, caption = "Response Frequencies for Form 2") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Response Frequencies for Form 2
Item Response_1 Response_2 Response_3 Response_4 Response_5 Response_6 Response_7 Response_8
Response 1 4 1286 8 6 0 0 0 0
Response 10 725 128 412 39 0 0 0 0
Response 100 24 22 255 1003 0 0 0 0
Response 101 987 34 135 148 0 0 0 0
Response 102 719 54 29 502 0 0 0 0
Response 103 55 69 83 1097 0 0 0 0
Response 104 258 63 598 385 0 0 0 0
Response 105 643 61 487 113 0 0 0 0
Response 106 54 784 124 342 0 0 0 0
Response 107 21 114 15 1154 0 0 0 0
Response 108 139 281 737 147 0 0 0 0
Response 109 27 1242 6 29 0 0 0 0
Response 11 207 215 234 648 0 0 0 0
Response 110 270 401 420 213 0 0 0 0
Response 111 644 292 217 151 0 0 0 0
Response 112 222 529 163 390 0 0 0 0
Response 113 93 1136 59 16 0 0 0 0
Response 114 143 349 371 441 0 0 0 0
Response 115 104 201 684 315 0 0 0 0
Response 116 68 377 559 300 0 0 0 0
Response 117 98 71 1124 11 0 0 0 0
Response 118 18 51 1195 40 0 0 0 0
Response 119 31 59 66 1148 0 0 0 0
Response 12 1300 4 0 0 0 0 0 0
Response 120 140 177 63 924 0 0 0 0
Response 121 202 85 974 43 0 0 0 0
Response 122 91 41 1105 67 0 0 0 0
Response 123 89 60 974 181 0 0 0 0
Response 124 326 58 591 329 0 0 0 0
Response 125 1198 39 21 46 0 0 0 0
Response 13 1036 37 61 170 0 0 0 0
Response 14 189 1010 54 51 0 0 0 0
Response 15 222 203 755 124 0 0 0 0
Response 16 11 542 700 51 0 0 0 0
Response 17 1265 12 1 26 0 0 0 0
Response 18 1298 2 1 3 0 0 0 0
Response 19 1241 60 2 1 0 0 0 0
Response 2 48 60 1072 124 0 0 0 0
Response 20 65 203 1025 11 0 0 0 0
Response 21 9 97 1179 19 0 0 0 0
Response 22 20 357 484 443 0 0 0 0
Response 23 2 9 1280 13 0 0 0 0
Response 24 1236 35 24 9 0 0 0 0
Response 25 1277 19 6 2 0 0 0 0
Response 26 1251 32 21 0 0 0 0 0
Response 27 29 452 765 58 0 0 0 0
Response 28 325 62 109 808 0 0 0 0
Response 29 67 706 275 256 0 0 0 0
Response 3 7 5 7 1285 0 0 0 0
Response 30 55 52 407 790 0 0 0 0
Response 31 878 13 394 19 0 0 0 0
Response 32 13 194 1068 29 0 0 0 0
Response 33 1197 15 61 31 0 0 0 0
Response 34 63 945 79 217 0 0 0 0
Response 35 1206 2 85 11 0 0 0 0
Response 36 252 181 583 288 0 0 0 0
Response 37 56 74 383 791 0 0 0 0
Response 38 650 83 423 148 0 0 0 0
Response 39 6 1122 5 171 0 0 0 0
Response 4 22 57 1209 16 0 0 0 0
Response 40 777 276 111 140 0 0 0 0
Response 41 180 831 96 197 0 0 0 0
Response 42 94 861 274 75 0 0 0 0
Response 43 27 104 821 352 0 0 0 0
Response 44 223 54 177 850 0 0 0 0
Response 45 652 533 74 45 0 0 0 0
Response 46 81 48 1125 50 0 0 0 0
Response 47 16 80 435 773 0 0 0 0
Response 48 118 410 384 392 0 0 0 0
Response 49 41 1149 24 90 0 0 0 0
Response 5 1260 11 20 13 0 0 0 0
Response 50 870 224 112 98 0 0 0 0
Response 51 1129 73 6 96 0 0 0 0
Response 52 5 26 7 1266 0 0 0 0
Response 53 184 149 850 121 0 0 0 0
Response 54 134 208 706 256 0 0 0 0
Response 55 131 47 49 1077 0 0 0 0
Response 56 395 618 216 75 0 0 0 0
Response 57 80 122 963 139 0 0 0 0
Response 58 404 29 811 60 0 0 0 0
Response 59 706 274 206 118 0 0 0 0
Response 6 146 16 32 1110 0 0 0 0
Response 60 68 73 1121 42 0 0 0 0
Response 61 162 631 462 49 0 0 0 0
Response 62 150 112 845 197 0 0 0 0
Response 63 347 913 31 13 0 0 0 0
Response 64 695 390 35 184 0 0 0 0
Response 65 265 876 66 97 0 0 0 0
Response 66 1132 39 58 75 0 0 0 0
Response 67 1030 81 21 172 0 0 0 0
Response 68 236 85 757 226 0 0 0 0
Response 69 237 46 766 255 0 0 0 0
Response 7 262 45 985 12 0 0 0 0
Response 70 121 53 784 346 0 0 0 0
Response 71 618 236 178 272 0 0 0 0
Response 72 979 83 135 107 0 0 0 0
Response 73 95 53 306 850 0 0 0 0
Response 74 159 317 87 741 0 0 0 0
Response 75 889 320 39 56 0 0 0 0
Response 76 661 587 40 16 0 0 0 0
Response 77 525 5 6 768 0 0 0 0
Response 78 75 530 664 35 0 0 0 0
Response 79 79 92 1104 29 0 0 0 0
Response 8 220 997 63 24 0 0 0 0
Response 80 636 388 203 77 0 0 0 0
Response 81 730 181 12 381 0 0 0 0
Response 82 157 264 71 812 0 0 0 0
Response 83 47 6 5 1246 0 0 0 0
Response 84 167 964 138 35 0 0 0 0
Response 85 181 605 318 200 0 0 0 0
Response 86 57 338 792 117 0 0 0 0
Response 87 776 171 30 327 0 0 0 0
Response 88 1207 14 81 2 0 0 0 0
Response 89 4 19 24 1257 0 0 0 0
Response 9 1102 16 135 51 0 0 0 0
Response 90 927 141 44 192 0 0 0 0
Response 91 864 146 154 140 0 0 0 0
Response 92 176 289 733 106 0 0 0 0
Response 93 194 17 38 6 647 157 203 42
Response 94 44 1067 93 100 0 0 0 0
Response 95 27 92 114 1071 0 0 0 0
Response 96 2 1240 22 40 0 0 0 0
Response 97 227 211 792 74 0 0 0 0
Response 98 1279 7 17 1 0 0 0 0
Response 99 619 166 96 423 0 0 0 0

Form 3 Analysis

Classical Test Theory Results

CTT Summary

Form3_CTT <- ctt_analysis(Form3)
Form3_problematic <- identify_problematic_items(Form3_CTT)

Form3_CTT %>%
  mutate(problematic = ifelse(item %in% Form3_problematic, "Yes", "No")) %>%
  select(item, mean, sd, problematic) %>%
  kable(caption = "Classical Test Theory Results for Form 3", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive")) %>%
  row_spec(which(Form3_CTT$item %in% Form3_problematic), background = "yellow")
Classical Test Theory Results for Form 3
item mean sd problematic
ASMTEN00000102-090019-01 ASMTEN00000102-090019-01 0.988 0.107 Yes
ASMTEN00000102-090022-01 ASMTEN00000102-090022-01 0.814 0.389 No
ASMTEN00000102-090025-03 ASMTEN00000102-090025-03 0.935 0.247 Yes
ASMTEN00000102-090026-01 ASMTEN00000102-090026-01 0.938 0.241 Yes
ASMTEN00000102-090109 ASMTEN00000102-090109 0.384 0.486 Yes
ASMTEN00008102-060001 ASMTEN00008102-060001 1.000 0.000 Yes
ASMTEN00008102-060005 ASMTEN00008102-060005 0.896 0.306 Yes
ASMTEN00008102-060008 ASMTEN00008102-060008 0.780 0.415 No
ASMTEN00008102-060009 ASMTEN00008102-060009 0.844 0.363 No
ASMTEN00008103-060001 ASMTEN00008103-060001 0.543 0.498 No
ASMTEN00008103-060003 ASMTEN00008103-060003 0.996 0.066 Yes
ASMTEN00008103-060005 ASMTEN00008103-060005 0.730 0.444 No
ASMTEN00008103-060006 ASMTEN00008103-060006 0.794 0.405 No
ASMTEN00008103-060008 ASMTEN00008103-060008 0.436 0.496 No
ASMTEN00008104-060001 ASMTEN00008104-060001 0.444 0.497 No
ASMTEN00008104-060008 ASMTEN00008104-060008 0.404 0.491 Yes
ASMTEN00008104-060010 ASMTEN00008104-060010 0.958 0.200 Yes
ASMTEN00008104-060011 ASMTEN00008104-060011 1.000 0.000 Yes
ASMTEN00008105-060003 ASMTEN00008105-060003 0.507 0.500 No
ASMTEN00008105-060007 ASMTEN00008105-060007 0.607 0.488 No
ASMTEN00008105-060009 ASMTEN00008105-060009 0.808 0.394 No
ASMTEN00008105-060010 ASMTEN00008105-060010 0.884 0.320 No
ASMTEN00008106-060001 ASMTEN00008106-060001 0.985 0.123 Yes
ASMTEN00008106-060002 ASMTEN00008106-060002 0.955 0.208 Yes
ASMTEN00008106-060003 ASMTEN00008106-060003 0.979 0.144 Yes
ASMTEN00008106-060004 ASMTEN00008106-060004 0.957 0.203 Yes
ASMTEN00008201-060001 ASMTEN00008201-060001 0.561 0.496 No
ASMTEN00008201-060003 ASMTEN00008201-060003 0.860 0.348 No
ASMTEN00008202-060002 ASMTEN00008202-060002 0.643 0.479 No
ASMTEN00008202-060006 ASMTEN00008202-060006 0.678 0.467 No
ASMTEN00008202-060008 ASMTEN00008202-060008 0.505 0.500 No
ASMTEN00008202-060009 ASMTEN00008202-060009 0.609 0.488 No
ASMTEN00008202-060010 ASMTEN00008202-060010 0.567 0.496 No
ASMTEN00008202-060013 ASMTEN00008202-060013 0.708 0.455 No
ASMTEN00008202-060014 ASMTEN00008202-060014 0.904 0.294 Yes
ASMTEN00008202-060016 ASMTEN00008202-060016 0.917 0.276 Yes
ASMTEN00008203-060001 ASMTEN00008203-060001 0.476 0.500 No
ASMTEN00008203-060002 ASMTEN00008203-060002 0.615 0.487 No
ASMTEN00008203-060003 ASMTEN00008203-060003 0.726 0.446 No
ASMTEN00008203-060004 ASMTEN00008203-060004 0.857 0.350 No
ASMTEN00008203-060007 ASMTEN00008203-060007 0.784 0.411 No
ASMTEN00008204-060001 ASMTEN00008204-060001 0.636 0.481 No
ASMTEN00008204-060002 ASMTEN00008204-060002 0.644 0.479 No
ASMTEN00008204-060004 ASMTEN00008204-060004 0.451 0.498 No
ASMTEN00008204-060006 ASMTEN00008204-060006 0.432 0.495 No
ASMTEN00008205-060004 ASMTEN00008205-060004 0.949 0.220 Yes
ASMTEN00008205-060007 ASMTEN00008205-060007 0.806 0.396 No
ASMTEN00008205-060009 ASMTEN00008205-060009 0.512 0.500 No
ASMTEN00008205-060010 ASMTEN00008205-060010 0.851 0.356 No
ASMTEN00008205-060018 ASMTEN00008205-060018 0.911 0.285 Yes
ASMTEN00008206-060001 ASMTEN00008206-060001 0.760 0.427 No
ASMTEN00008206-060004 ASMTEN00008206-060004 0.858 0.349 No
ASMTEN00008206-060007 ASMTEN00008206-060007 0.537 0.499 No
ASMTEN00008206-060008 ASMTEN00008206-060008 0.837 0.370 No
ASMTEN00008207-060002 ASMTEN00008207-060002 0.747 0.435 No
ASMTEN00008207-060003 ASMTEN00008207-060003 0.928 0.259 Yes
ASMTEN00008207-060005-02 ASMTEN00008207-060005-02 0.787 0.409 No
ASMTEN00008207-060006 ASMTEN00008207-060006 0.609 0.488 No
ASMTEN00008207-060007 ASMTEN00008207-060007 0.534 0.499 No
ASMTEN00008208-060004 ASMTEN00008208-060004 0.590 0.492 No
ASMTEN00008208-060006 ASMTEN00008208-060006 0.899 0.302 Yes
ASMTEN00008208-060007 ASMTEN00008208-060007 0.426 0.495 No
ASMTEN00008208-060008 ASMTEN00008208-060008 0.881 0.324 No
ASMTEN00008209-060002 ASMTEN00008209-060002 0.725 0.447 No
ASMTEN00008209-060003 ASMTEN00008209-060003 0.879 0.327 No
ASMTEN00008209-060004 ASMTEN00008209-060004 0.805 0.396 No
ASMTEN00008209-060005 ASMTEN00008209-060005 0.597 0.491 No
ASMTEN00008209-060006 ASMTEN00008209-060006 0.616 0.487 No
ASMTEN00008301-070001 ASMTEN00008301-070001 0.618 0.486 No
ASMTEN00008301-070004 ASMTEN00008301-070004 0.942 0.233 Yes
ASMTEN00008301-070005 ASMTEN00008301-070005 0.633 0.482 No
ASMTEN00008301-070006 ASMTEN00008301-070006 0.574 0.495 No
ASMTEN00008301-070007 ASMTEN00008301-070007 0.521 0.500 No
ASMTEN00008302-070001 ASMTEN00008302-070001 0.450 0.498 No
ASMTEN00008302-070003 ASMTEN00008302-070003 0.401 0.490 Yes
ASMTEN00008302-070004 ASMTEN00008302-070004 0.880 0.325 No
ASMTEN00008302-070008 ASMTEN00008302-070008 0.745 0.436 No
ASMTEN00008303-070002 ASMTEN00008303-070002 0.530 0.499 No
ASMTEN00008303-070003 ASMTEN00008303-070003 0.838 0.369 No
ASMTEN00008303-070006 ASMTEN00008303-070006 0.631 0.483 No
ASMTEN00008303-070007 ASMTEN00008303-070007 0.390 0.488 Yes
ASMTEN00008303-070009 ASMTEN00008303-070009 0.952 0.213 Yes
ASMTEN00008304-070005 ASMTEN00008304-070005 0.739 0.439 No
ASMTEN00008304-070007 ASMTEN00008304-070007 0.673 0.469 No
ASMTEN00008304-070008 ASMTEN00008304-070008 0.463 0.499 No
ASMTEN00008304-070009 ASMTEN00008304-070009 0.520 0.500 No
ASMTEN00008304-070013 ASMTEN00008304-070013 0.584 0.493 No
ASMTEN00008306-070002 ASMTEN00008306-070002 0.905 0.293 Yes
ASMTEN00008306-070003 ASMTEN00008306-070003 0.965 0.184 Yes
ASMTEN00008306-070006 ASMTEN00008306-070006 0.678 0.467 No
ASMTEN00008306-070009 ASMTEN00008306-070009 0.621 0.485 No
ASMTEN00008306-070010 ASMTEN00008306-070010 0.561 0.496 No
ASMTEN00008307-070002 ASMTEN00008307-070002 0.620 0.486 No
ASMTEN00008307-070004 ASMTEN00008307-070004 0.813 0.390 No
ASMTEN00008307-070005 ASMTEN00008307-070005 0.809 0.393 No
ASMTEN00008308-070001 ASMTEN00008308-070001 0.939 0.239 Yes
ASMTEN00008308-070003 ASMTEN00008308-070003 0.985 0.120 Yes
ASMTEN00008308-070004 ASMTEN00008308-070004 0.554 0.497 No
ASMTEN00008308-070007 ASMTEN00008308-070007 0.752 0.432 No
ASMTEN00008308-070009 ASMTEN00008308-070009 0.571 0.495 No
ASMTEN00008308-070012 ASMTEN00008308-070012 0.656 0.475 No
ASMTEN00008308-070013 ASMTEN00008308-070013 0.392 0.488 Yes
ASMTEN00008309-070001 ASMTEN00008309-070001 0.834 0.373 No
ASMTEN00008309-070002 ASMTEN00008309-070002 0.465 0.499 No
ASMTEN00008309-070003 ASMTEN00008309-070003 0.489 0.500 No
ASMTEN00008401-070001 ASMTEN00008401-070001 0.608 0.488 No
ASMTEN00008401-070002 ASMTEN00008401-070002 0.881 0.324 No
ASMTEN00008401-070003 ASMTEN00008401-070003 0.590 0.492 No
ASMTEN00008401-070004 ASMTEN00008401-070004 0.927 0.261 Yes
ASMTEN00008402-070002 ASMTEN00008402-070002 0.312 0.463 Yes
ASMTEN00008402-070010-01 ASMTEN00008402-070010-01 0.421 0.494 No
ASMTEN00008402-070015-01 ASMTEN00008402-070015-01 0.576 0.494 No
ASMTEN00008402-070016 ASMTEN00008402-070016 0.501 0.500 No
ASMTEN00008403-070004 ASMTEN00008403-070004 0.867 0.339 No
ASMTEN00008403-070005 ASMTEN00008403-070005 0.585 0.493 No
ASMTEN00008403-070007 ASMTEN00008403-070007 0.871 0.336 No
ASMTEN00008403-070008 ASMTEN00008403-070008 0.573 0.495 No
ASMTEN00008405-070001 ASMTEN00008405-070001 0.936 0.245 Yes
ASMTEN00008405-070003 ASMTEN00008405-070003 0.533 0.499 No
ASMTEN00008405-070006 ASMTEN00008405-070006 0.701 0.458 No
ASMTEN00008405-070007 ASMTEN00008405-070007 0.727 0.446 No
ASMTEN00008406-070004 ASMTEN00008406-070004 0.745 0.436 No
ASMTEN00008406-070006 ASMTEN00008406-070006 0.914 0.281 Yes
ASMTEN00008406-070007 ASMTEN00008406-070007 0.765 0.424 No
ASMTEN00008406-070008 ASMTEN00008406-070008 0.645 0.479 No

Problematic Items

kable(data.frame(Problematic_Items = Form3_problematic),
      caption = "Problematic Items for Form 3") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Problematic Items for Form 3
Problematic_Items
ASMTEN00000102-090019-01
ASMTEN00000102-090025-03
ASMTEN00000102-090026-01
ASMTEN00000102-090109
ASMTEN00008102-060001
ASMTEN00008102-060005
ASMTEN00008103-060003
ASMTEN00008104-060008
ASMTEN00008104-060010
ASMTEN00008104-060011
ASMTEN00008106-060001
ASMTEN00008106-060002
ASMTEN00008106-060003
ASMTEN00008106-060004
ASMTEN00008202-060014
ASMTEN00008202-060016
ASMTEN00008205-060004
ASMTEN00008205-060018
ASMTEN00008207-060003
ASMTEN00008208-060006
ASMTEN00008301-070004
ASMTEN00008302-070003
ASMTEN00008303-070007
ASMTEN00008303-070009
ASMTEN00008306-070002
ASMTEN00008306-070003
ASMTEN00008308-070001
ASMTEN00008308-070003
ASMTEN00008308-070013
ASMTEN00008401-070004
ASMTEN00008402-070002
ASMTEN00008405-070001
ASMTEN00008406-070006

Item Response Theory Results

Test Information Curve

Form3_clean <- remove_problematic_items(Form3, Form3_problematic)
Form3_IRT <- mirt(Form3_clean, 1, itemtype = "2PL")
## 
Iteration: 1, Log-Lik: -73263.316, Max-Change: 0.94232
Iteration: 2, Log-Lik: -72239.884, Max-Change: 0.44940
Iteration: 3, Log-Lik: -71917.321, Max-Change: 0.30608
Iteration: 4, Log-Lik: -71649.110, Max-Change: 0.19480
Iteration: 5, Log-Lik: -71524.278, Max-Change: 0.17074
Iteration: 6, Log-Lik: -71452.569, Max-Change: 0.14529
Iteration: 7, Log-Lik: -71417.266, Max-Change: 0.11098
Iteration: 8, Log-Lik: -71400.400, Max-Change: 0.08025
Iteration: 9, Log-Lik: -71392.043, Max-Change: 0.06056
Iteration: 10, Log-Lik: -71387.704, Max-Change: 0.04607
Iteration: 11, Log-Lik: -71385.352, Max-Change: 0.04085
Iteration: 12, Log-Lik: -71383.706, Max-Change: 0.04141
Iteration: 13, Log-Lik: -71382.175, Max-Change: 0.01698
Iteration: 14, Log-Lik: -71381.993, Max-Change: 0.01419
Iteration: 15, Log-Lik: -71381.884, Max-Change: 0.01036
Iteration: 16, Log-Lik: -71381.686, Max-Change: 0.00375
Iteration: 17, Log-Lik: -71381.677, Max-Change: 0.00257
Iteration: 18, Log-Lik: -71381.672, Max-Change: 0.00106
Iteration: 19, Log-Lik: -71381.670, Max-Change: 0.00130
Iteration: 20, Log-Lik: -71381.668, Max-Change: 0.00183
Iteration: 21, Log-Lik: -71381.667, Max-Change: 0.00291
Iteration: 22, Log-Lik: -71381.666, Max-Change: 0.00231
Iteration: 23, Log-Lik: -71381.665, Max-Change: 0.00073
Iteration: 24, Log-Lik: -71381.665, Max-Change: 0.00179
Iteration: 25, Log-Lik: -71381.665, Max-Change: 0.00094
Iteration: 26, Log-Lik: -71381.663, Max-Change: 0.00046
Iteration: 27, Log-Lik: -71381.663, Max-Change: 0.00112
Iteration: 28, Log-Lik: -71381.663, Max-Change: 0.00057
Iteration: 29, Log-Lik: -71381.662, Max-Change: 0.00142
Iteration: 30, Log-Lik: -71381.662, Max-Change: 0.00043
Iteration: 31, Log-Lik: -71381.662, Max-Change: 0.00038
Iteration: 32, Log-Lik: -71381.662, Max-Change: 0.00092
Iteration: 33, Log-Lik: -71381.662, Max-Change: 0.00146
Iteration: 34, Log-Lik: -71381.661, Max-Change: 0.00124
Iteration: 35, Log-Lik: -71381.661, Max-Change: 0.00039
Iteration: 36, Log-Lik: -71381.661, Max-Change: 0.00096
Iteration: 37, Log-Lik: -71381.661, Max-Change: 0.00052
Iteration: 38, Log-Lik: -71381.661, Max-Change: 0.00025
Iteration: 39, Log-Lik: -71381.661, Max-Change: 0.00062
Iteration: 40, Log-Lik: -71381.661, Max-Change: 0.00033
Iteration: 41, Log-Lik: -71381.661, Max-Change: 0.00081
Iteration: 42, Log-Lik: -71381.661, Max-Change: 0.00025
Iteration: 43, Log-Lik: -71381.660, Max-Change: 0.00022
Iteration: 44, Log-Lik: -71381.660, Max-Change: 0.00053
Iteration: 45, Log-Lik: -71381.660, Max-Change: 0.00017
Iteration: 46, Log-Lik: -71381.660, Max-Change: 0.00015
Iteration: 47, Log-Lik: -71381.660, Max-Change: 0.00036
Iteration: 48, Log-Lik: -71381.660, Max-Change: 0.00054
Iteration: 49, Log-Lik: -71381.660, Max-Change: 0.00053
Iteration: 50, Log-Lik: -71381.660, Max-Change: 0.00016
Iteration: 51, Log-Lik: -71381.660, Max-Change: 0.00039
Iteration: 52, Log-Lik: -71381.660, Max-Change: 0.00022
Iteration: 53, Log-Lik: -71381.660, Max-Change: 0.00011
Iteration: 54, Log-Lik: -71381.660, Max-Change: 0.00027
Iteration: 55, Log-Lik: -71381.660, Max-Change: 0.00014
Iteration: 56, Log-Lik: -71381.660, Max-Change: 0.00034
Iteration: 57, Log-Lik: -71381.660, Max-Change: 0.00010
Iteration: 58, Log-Lik: -71381.660, Max-Change: 0.00009
plot(Form3_IRT, type = "info", main = "Test Information Curve for Form 3")

Item Parameters

Form3_Params <- get_item_params(Form3_IRT)
kable(Form3_Params, caption = "Item Parameters for Form 3", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Item Parameters for Form 3
item items.a items.b items.g items.u
ASMTEN00000102-090022-01 ASMTEN00000102-090022-01 -0.587 2.687 0 1
ASMTEN00008102-060008 ASMTEN00008102-060008 0.530 -2.519 0 1
ASMTEN00008102-060009 ASMTEN00008102-060009 0.337 -5.108 0 1
ASMTEN00008103-060001 ASMTEN00008103-060001 -1.240 0.089 0 1
ASMTEN00008103-060005 ASMTEN00008103-060005 1.519 -0.921 0 1
ASMTEN00008103-060006 ASMTEN00008103-060006 0.520 -2.731 0 1
ASMTEN00008103-060008 ASMTEN00008103-060008 -0.266 -0.995 0 1
ASMTEN00008104-060001 ASMTEN00008104-060001 0.636 0.347 0 1
ASMTEN00008105-060003 ASMTEN00008105-060003 0.600 -0.086 0 1
ASMTEN00008105-060007 ASMTEN00008105-060007 1.494 -0.472 0 1
ASMTEN00008105-060009 ASMTEN00008105-060009 1.077 -1.590 0 1
ASMTEN00008105-060010 ASMTEN00008105-060010 0.701 -3.110 0 1
ASMTEN00008201-060001 ASMTEN00008201-060001 1.672 -0.306 0 1
ASMTEN00008201-060003 ASMTEN00008201-060003 1.143 -1.874 0 1
ASMTEN00008202-060002 ASMTEN00008202-060002 1.015 -0.734 0 1
ASMTEN00008202-060006 ASMTEN00008202-060006 0.667 -1.239 0 1
ASMTEN00008202-060008 ASMTEN00008202-060008 -0.006 3.372 0 1
ASMTEN00008202-060009 ASMTEN00008202-060009 0.464 -1.020 0 1
ASMTEN00008202-060010 ASMTEN00008202-060010 -0.469 0.577 0 1
ASMTEN00008202-060013 ASMTEN00008202-060013 -0.499 1.851 0 1
ASMTEN00008203-060001 ASMTEN00008203-060001 0.409 0.223 0 1
ASMTEN00008203-060002 ASMTEN00008203-060002 -0.387 1.241 0 1
ASMTEN00008203-060003 ASMTEN00008203-060003 0.456 -2.236 0 1
ASMTEN00008203-060004 ASMTEN00008203-060004 0.752 -2.592 0 1
ASMTEN00008203-060007 ASMTEN00008203-060007 0.281 -4.667 0 1
ASMTEN00008204-060001 ASMTEN00008204-060001 0.549 -1.097 0 1
ASMTEN00008204-060002 ASMTEN00008204-060002 0.389 -1.593 0 1
ASMTEN00008204-060004 ASMTEN00008204-060004 -0.277 -0.728 0 1
ASMTEN00008204-060006 ASMTEN00008204-060006 0.554 0.501 0 1
ASMTEN00008205-060007 ASMTEN00008205-060007 2.522 -0.979 0 1
ASMTEN00008205-060009 ASMTEN00008205-060009 0.457 -0.127 0 1
ASMTEN00008205-060010 ASMTEN00008205-060010 0.500 -3.635 0 1
ASMTEN00008206-060001 ASMTEN00008206-060001 0.622 -2.002 0 1
ASMTEN00008206-060004 ASMTEN00008206-060004 -0.495 3.826 0 1
ASMTEN00008206-060007 ASMTEN00008206-060007 0.527 -0.319 0 1
ASMTEN00008206-060008 ASMTEN00008206-060008 1.677 -1.328 0 1
ASMTEN00008207-060002 ASMTEN00008207-060002 1.663 -0.941 0 1
ASMTEN00008207-060005-02 ASMTEN00008207-060005-02 1.343 -1.257 0 1
ASMTEN00008207-060006 ASMTEN00008207-060006 -0.368 1.229 0 1
ASMTEN00008207-060007 ASMTEN00008207-060007 0.617 -0.272 0 1
ASMTEN00008208-060004 ASMTEN00008208-060004 0.266 -1.399 0 1
ASMTEN00008208-060007 ASMTEN00008208-060007 0.533 0.565 0 1
ASMTEN00008208-060008 ASMTEN00008208-060008 0.761 -2.856 0 1
ASMTEN00008209-060002 ASMTEN00008209-060002 0.206 -4.738 0 1
ASMTEN00008209-060003 ASMTEN00008209-060003 2.004 -1.414 0 1
ASMTEN00008209-060004 ASMTEN00008209-060004 1.783 -1.144 0 1
ASMTEN00008209-060005 ASMTEN00008209-060005 0.417 -0.992 0 1
ASMTEN00008209-060006 ASMTEN00008209-060006 2.694 -0.431 0 1
ASMTEN00008301-070001 ASMTEN00008301-070001 0.501 -1.032 0 1
ASMTEN00008301-070005 ASMTEN00008301-070005 0.506 -1.159 0 1
ASMTEN00008301-070006 ASMTEN00008301-070006 2.469 -0.329 0 1
ASMTEN00008301-070007 ASMTEN00008301-070007 -0.279 0.303 0 1
ASMTEN00008302-070001 ASMTEN00008302-070001 -0.217 -0.942 0 1
ASMTEN00008302-070004 ASMTEN00008302-070004 -0.656 3.288 0 1
ASMTEN00008302-070008 ASMTEN00008302-070008 1.520 -0.979 0 1
ASMTEN00008303-070002 ASMTEN00008303-070002 1.118 -0.205 0 1
ASMTEN00008303-070003 ASMTEN00008303-070003 1.087 -1.779 0 1
ASMTEN00008303-070006 ASMTEN00008303-070006 -0.025 21.183 0 1
ASMTEN00008304-070005 ASMTEN00008304-070005 1.708 -0.900 0 1
ASMTEN00008304-070007 ASMTEN00008304-070007 0.473 -1.609 0 1
ASMTEN00008304-070008 ASMTEN00008304-070008 0.238 0.632 0 1
ASMTEN00008304-070009 ASMTEN00008304-070009 0.520 -0.190 0 1
ASMTEN00008304-070013 ASMTEN00008304-070013 0.416 -0.859 0 1
ASMTEN00008306-070006 ASMTEN00008306-070006 1.310 -0.779 0 1
ASMTEN00008306-070009 ASMTEN00008306-070009 1.595 -0.507 0 1
ASMTEN00008306-070010 ASMTEN00008306-070010 0.620 -0.462 0 1
ASMTEN00008307-070002 ASMTEN00008307-070002 -0.905 0.565 0 1
ASMTEN00008307-070004 ASMTEN00008307-070004 -0.814 2.008 0 1
ASMTEN00008307-070005 ASMTEN00008307-070005 -0.513 2.964 0 1
ASMTEN00008308-070004 ASMTEN00008308-070004 0.538 -0.455 0 1
ASMTEN00008308-070007 ASMTEN00008308-070007 1.130 -1.210 0 1
ASMTEN00008308-070009 ASMTEN00008308-070009 1.492 -0.343 0 1
ASMTEN00008308-070012 ASMTEN00008308-070012 0.543 -1.283 0 1
ASMTEN00008309-070001 ASMTEN00008309-070001 1.127 -1.704 0 1
ASMTEN00008309-070002 ASMTEN00008309-070002 1.619 0.012 0 1
ASMTEN00008309-070003 ASMTEN00008309-070003 0.606 0.047 0 1
ASMTEN00008401-070001 ASMTEN00008401-070001 0.538 -0.893 0 1
ASMTEN00008401-070002 ASMTEN00008401-070002 0.523 -3.995 0 1
ASMTEN00008401-070003 ASMTEN00008401-070003 0.019 -19.456 0 1
ASMTEN00008402-070010-01 ASMTEN00008402-070010-01 -0.152 -2.099 0 1
ASMTEN00008402-070015-01 ASMTEN00008402-070015-01 0.809 -0.473 0 1
ASMTEN00008402-070016 ASMTEN00008402-070016 -0.231 0.022 0 1
ASMTEN00008403-070004 ASMTEN00008403-070004 1.246 -1.821 0 1
ASMTEN00008403-070005 ASMTEN00008403-070005 -0.289 1.204 0 1
ASMTEN00008403-070007 ASMTEN00008403-070007 1.279 -1.811 0 1
ASMTEN00008403-070008 ASMTEN00008403-070008 -0.209 1.424 0 1
ASMTEN00008405-070003 ASMTEN00008405-070003 0.182 -0.731 0 1
ASMTEN00008405-070006 ASMTEN00008405-070006 0.553 -1.658 0 1
ASMTEN00008405-070007 ASMTEN00008405-070007 1.371 -0.960 0 1
ASMTEN00008406-070004 ASMTEN00008406-070004 1.362 -1.042 0 1
ASMTEN00008406-070007 ASMTEN00008406-070007 1.123 -1.289 0 1
ASMTEN00008406-070008 ASMTEN00008406-070008 2.381 -0.518 0 1

Response Frequencies

Form3_freq <- calculate_frequencies_wide(Form3_respcode)
kable(Form3_freq, caption = "Response Frequencies for Form 3") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Response Frequencies for Form 3
Item Response_1 Response_2 Response_3 Response_4 Response_5 Response_6 Response_7 Response_8
Response 1 2 1320 8 6 0 0 0 0
Response 10 719 141 432 44 0 0 0 0
Response 100 761 70 33 472 0 0 0 0
Response 101 83 164 878 211 0 0 0 0
Response 102 281 384 144 527 0 0 0 0
Response 103 41 66 110 1119 0 0 0 0
Response 104 299 53 627 357 0 0 0 0
Response 105 655 81 467 133 0 0 0 0
Response 106 69 820 134 313 0 0 0 0
Response 107 41 95 22 1178 0 0 0 0
Response 108 127 294 785 130 0 0 0 0
Response 109 37 1240 9 50 0 0 0 0
Response 11 4 1330 2 0 0 0 0 0
Response 110 277 403 409 247 0 0 0 0
Response 111 392 187 565 192 0 0 0 0
Response 112 114 149 300 773 0 0 0 0
Response 113 677 286 215 158 0 0 0 0
Response 114 84 71 1164 17 0 0 0 0
Response 115 782 275 123 156 0 0 0 0
Response 116 35 1167 86 48 0 0 0 0
Response 117 86 92 760 398 0 0 0 0
Response 118 16 40 1249 31 0 0 0 0
Response 119 142 301 708 185 0 0 0 0
Response 12 29 242 977 88 0 0 0 0
Response 120 145 186 67 938 0 0 0 0
Response 121 84 32 250 970 0 0 0 0
Response 122 68 62 999 207 0 0 0 0
Response 123 1220 35 32 49 0 0 0 0
Response 124 131 142 45 1018 0 0 0 0
Response 125 221 869 63 183 0 0 0 0
Response 13 163 1065 41 67 0 0 0 0
Response 14 45 530 178 583 0 0 0 0
Response 15 478 204 593 61 0 0 0 0
Response 16 124 307 537 368 0 0 0 0
Response 17 14 37 2 1283 0 0 0 0
Response 18 1336 0 0 0 0 0 0 0
Response 19 123 147 672 394 0 0 0 0
Response 2 58 82 1088 108 0 0 0 0
Response 20 32 823 368 113 0 0 0 0
Response 21 70 176 1080 10 0 0 0 0
Response 22 25 108 1183 20 0 0 0 0
Response 23 1 8 1315 12 0 0 0 0
Response 24 1276 44 13 3 0 0 0 0
Response 25 1307 22 7 0 0 0 0 0
Response 26 1280 34 5 17 0 0 0 0
Response 27 42 475 753 66 0 0 0 0
Response 28 1151 31 38 116 0 0 0 0
Response 29 82 110 863 281 0 0 0 0
Response 3 18 55 1250 13 0 0 0 0
Response 30 88 193 151 904 0 0 0 0
Response 31 683 219 220 214 0 0 0 0
Response 32 59 60 407 810 0 0 0 0
Response 33 246 226 751 113 0 0 0 0
Response 34 152 191 947 46 0 0 0 0
Response 35 1209 20 73 34 0 0 0 0
Response 36 1229 1 96 10 0 0 0 0
Response 37 179 214 635 308 0 0 0 0
Response 38 62 91 368 815 0 0 0 0
Response 39 975 61 157 143 0 0 0 0
Response 4 26 15 1255 40 0 0 0 0
Response 40 1145 33 118 40 0 0 0 0
Response 41 39 182 1052 63 0 0 0 0
Response 42 227 852 77 180 0 0 0 0
Response 43 179 216 80 861 0 0 0 0
Response 44 154 20 283 56 474 128 162 59
Response 45 328 577 239 192 0 0 0 0
Response 46 1268 17 41 10 0 0 0 0
Response 47 41 1072 177 46 0 0 0 0
Response 48 685 534 67 50 0 0 0 0
Response 49 96 44 1139 57 0 0 0 0
Response 5 228 344 516 248 0 0 0 0
Response 50 15 57 1218 46 0 0 0 0
Response 51 78 1016 71 171 0 0 0 0
Response 52 1150 89 5 92 0 0 0 0
Response 53 112 200 726 298 0 0 0 0
Response 54 122 56 45 1113 0 0 0 0
Response 55 54 182 999 101 0 0 0 0
Response 56 1241 44 13 38 0 0 0 0
Response 57 59 105 1052 120 0 0 0 0
Response 58 434 34 815 53 0 0 0 0
Response 59 712 294 209 121 0 0 0 0
Response 6 1336 0 0 0 0 0 0 0
Response 60 32 170 790 344 0 0 0 0
Response 61 1205 74 22 35 0 0 0 0
Response 62 129 575 201 431 0 0 0 0
Response 63 1178 23 122 13 0 0 0 0
Response 64 226 968 55 87 0 0 0 0
Response 65 1174 31 62 69 0 0 0 0
Response 66 1078 83 31 144 0 0 0 0
Response 67 230 92 792 222 0 0 0 0
Response 68 200 49 825 262 0 0 0 0
Response 69 145 48 827 316 0 0 0 0
Response 7 21 78 43 1194 0 0 0 0
Response 70 1261 68 7 0 0 0 0 0
Response 71 97 69 315 855 0 0 0 0
Response 72 152 302 110 772 0 0 0 0
Response 73 119 358 164 695 0 0 0 0
Response 74 281 124 332 599 0 0 0 0
Response 75 216 470 542 108 0 0 0 0
Response 76 94 1172 8 62 0 0 0 0
Response 77 205 998 50 83 0 0 0 0
Response 78 89 484 710 53 0 0 0 0
Response 79 101 86 1121 28 0 0 0 0
Response 8 211 1041 57 27 0 0 0 0
Response 80 162 250 79 845 0 0 0 0
Response 81 61 522 21 732 0 0 0 0
Response 82 55 3 6 1272 0 0 0 0
Response 83 10 993 136 197 0 0 0 0
Response 84 897 154 24 261 0 0 0 0
Response 85 43 136 541 616 0 0 0 0
Response 86 147 296 697 196 0 0 0 0
Response 87 271 87 14 10 87 11 157 699
Response 88 1211 13 106 6 0 0 0 0
Response 89 3 19 26 1288 0 0 0 0
Response 9 1126 25 155 30 0 0 0 0
Response 90 911 124 174 127 0 0 0 0
Response 91 141 831 246 118 0 0 0 0
Response 92 35 483 748 70 0 0 0 0
Response 93 21 62 826 427 0 0 0 0
Response 94 18 1083 166 69 0 0 0 0
Response 95 28 99 127 1082 0 0 0 0
Response 96 17 26 35 1258 0 0 0 0
Response 97 1319 4 12 1 0 0 0 0
Response 98 734 210 82 310 0 0 0 0
Response 99 1003 88 207 38 0 0 0 0

Form 4 Analysis

Classical Test Theory Results

CTT Summary

Form4_CTT <- ctt_analysis(Form4)
Form4_problematic <- identify_problematic_items(Form4_CTT)

Form4_CTT %>%
  mutate(problematic = ifelse(item %in% Form4_problematic, "Yes", "No")) %>%
  select(item, mean, sd, problematic) %>%
  kable(caption = "Classical Test Theory Results for Form 4", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive")) %>%
  row_spec(which(Form4_CTT$item %in% Form4_problematic), background = "yellow")
Classical Test Theory Results for Form 4
item mean sd problematic
ASMTEN00000102-090025-03 ASMTEN00000102-090025-03 0.926 0.262 Yes
ASMTEN00000102-090028-01 ASMTEN00000102-090028-01 0.762 0.426 No
ASMTEN00000102-090050 ASMTEN00000102-090050 0.764 0.425 No
ASMTEN00000102-090095-01 ASMTEN00000102-090095-01 0.958 0.201 Yes
ASMTEN00000102-090109 ASMTEN00000102-090109 0.339 0.474 Yes
ASMTEN00008102-060002 ASMTEN00008102-060002 0.860 0.347 No
ASMTEN00008102-060003 ASMTEN00008102-060003 0.751 0.433 No
ASMTEN00008102-060005 ASMTEN00008102-060005 0.869 0.337 No
ASMTEN00008102-060007 ASMTEN00008102-060007 0.659 0.474 No
ASMTEN00008103-060001 ASMTEN00008103-060001 0.565 0.496 No
ASMTEN00008103-060002 ASMTEN00008103-060002 0.470 0.499 No
ASMTEN00008103-060003 ASMTEN00008103-060003 0.996 0.060 Yes
ASMTEN00008103-060005 ASMTEN00008103-060005 0.729 0.444 No
ASMTEN00008103-060008 ASMTEN00008103-060008 0.439 0.496 No
ASMTEN00008104-060001 ASMTEN00008104-060001 0.462 0.499 No
ASMTEN00008104-060009 ASMTEN00008104-060009 0.977 0.149 Yes
ASMTEN00008104-060010 ASMTEN00008104-060010 0.971 0.168 Yes
ASMTEN00008104-060011 ASMTEN00008104-060011 0.996 0.066 Yes
ASMTEN00008105-060002 ASMTEN00008105-060002 0.620 0.486 No
ASMTEN00008105-060004 ASMTEN00008105-060004 0.946 0.226 Yes
ASMTEN00008105-060007 ASMTEN00008105-060007 0.579 0.494 No
ASMTEN00008105-060009 ASMTEN00008105-060009 0.799 0.401 No
ASMTEN00008106-060001 ASMTEN00008106-060001 0.976 0.154 Yes
ASMTEN00008106-060002 ASMTEN00008106-060002 0.956 0.205 Yes
ASMTEN00008106-060003 ASMTEN00008106-060003 0.978 0.146 Yes
ASMTEN00008106-060004 ASMTEN00008106-060004 0.961 0.193 Yes
ASMTEN00008201-060001 ASMTEN00008201-060001 0.582 0.493 No
ASMTEN00008201-060002 ASMTEN00008201-060002 0.611 0.488 No
ASMTEN00008202-060003 ASMTEN00008202-060003 0.521 0.500 No
ASMTEN00008202-060005 ASMTEN00008202-060005 0.530 0.499 No
ASMTEN00008202-060006 ASMTEN00008202-060006 0.688 0.463 No
ASMTEN00008202-060008 ASMTEN00008202-060008 0.595 0.491 No
ASMTEN00008202-060011 ASMTEN00008202-060011 0.642 0.480 No
ASMTEN00008202-060014 ASMTEN00008202-060014 0.937 0.243 Yes
ASMTEN00008202-060015 ASMTEN00008202-060015 0.727 0.446 No
ASMTEN00008202-060016 ASMTEN00008202-060016 0.933 0.250 Yes
ASMTEN00008203-060002 ASMTEN00008203-060002 0.610 0.488 No
ASMTEN00008203-060005 ASMTEN00008203-060005 0.526 0.499 No
ASMTEN00008203-060006 ASMTEN00008203-060006 0.811 0.392 No
ASMTEN00008203-060007 ASMTEN00008203-060007 0.777 0.416 No
ASMTEN00008203-060013 ASMTEN00008203-060013 0.620 0.485 No
ASMTEN00008204-060002 ASMTEN00008204-060002 0.626 0.484 No
ASMTEN00008204-060003 ASMTEN00008204-060003 0.751 0.433 No
ASMTEN00008204-060006 ASMTEN00008204-060006 0.435 0.496 No
ASMTEN00008204-060007 ASMTEN00008204-060007 0.665 0.472 No
ASMTEN00008204-060010 ASMTEN00008204-060010 0.610 0.488 No
ASMTEN00008205-060007 ASMTEN00008205-060007 0.771 0.420 No
ASMTEN00008205-060009 ASMTEN00008205-060009 0.467 0.499 No
ASMTEN00008205-060010 ASMTEN00008205-060010 0.886 0.318 No
ASMTEN00008205-060014 ASMTEN00008205-060014 0.319 0.466 Yes
ASMTEN00008205-060016 ASMTEN00008205-060016 0.336 0.472 Yes
ASMTEN00008206-060001 ASMTEN00008206-060001 0.751 0.433 No
ASMTEN00008206-060002 ASMTEN00008206-060002 0.591 0.492 No
ASMTEN00008206-060003 ASMTEN00008206-060003 0.693 0.461 No
ASMTEN00008206-060004 ASMTEN00008206-060004 0.885 0.320 No
ASMTEN00008206-060005 ASMTEN00008206-060005 0.966 0.180 Yes
ASMTEN00008207-060001 ASMTEN00008207-060001 0.771 0.420 No
ASMTEN00008207-060002 ASMTEN00008207-060002 0.779 0.415 No
ASMTEN00008207-060003 ASMTEN00008207-060003 0.918 0.274 Yes
ASMTEN00008207-060005-02 ASMTEN00008207-060005-02 0.741 0.438 No
ASMTEN00008207-060011 ASMTEN00008207-060011 0.821 0.383 No
ASMTEN00008208-060003 ASMTEN00008208-060003 0.718 0.450 No
ASMTEN00008208-060004 ASMTEN00008208-060004 0.597 0.491 No
ASMTEN00008208-060005 ASMTEN00008208-060005 0.539 0.499 No
ASMTEN00008208-060008 ASMTEN00008208-060008 0.909 0.288 Yes
ASMTEN00008209-060001 ASMTEN00008209-060001 0.531 0.499 No
ASMTEN00008209-060003 ASMTEN00008209-060003 0.886 0.318 No
ASMTEN00008209-060004 ASMTEN00008209-060004 0.806 0.395 No
ASMTEN00008209-060005 ASMTEN00008209-060005 0.541 0.498 No
ASMTEN00008209-060006 ASMTEN00008209-060006 0.585 0.493 No
ASMTEN00008301-070001 ASMTEN00008301-070001 0.624 0.485 No
ASMTEN00008301-070002 ASMTEN00008301-070002 0.500 0.500 No
ASMTEN00008301-070003 ASMTEN00008301-070003 0.750 0.433 No
ASMTEN00008301-070004 ASMTEN00008301-070004 0.931 0.254 Yes
ASMTEN00008301-070006 ASMTEN00008301-070006 0.563 0.496 No
ASMTEN00008302-070001 ASMTEN00008302-070001 0.405 0.491 Yes
ASMTEN00008302-070002 ASMTEN00008302-070002 0.899 0.301 Yes
ASMTEN00008302-070008 ASMTEN00008302-070008 0.769 0.422 No
ASMTEN00008303-070001 ASMTEN00008303-070001 0.724 0.447 No
ASMTEN00008303-070002 ASMTEN00008303-070002 0.541 0.498 No
ASMTEN00008303-070003 ASMTEN00008303-070003 0.868 0.339 No
ASMTEN00008303-070006 ASMTEN00008303-070006 0.646 0.478 No
ASMTEN00008303-070008 ASMTEN00008303-070008 0.850 0.357 No
ASMTEN00008303-070009 ASMTEN00008303-070009 0.943 0.232 Yes
ASMTEN00008304-070001 ASMTEN00008304-070001 0.744 0.436 No
ASMTEN00008304-070002 ASMTEN00008304-070002 0.313 0.464 Yes
ASMTEN00008304-070004 ASMTEN00008304-070004 0.403 0.491 Yes
ASMTEN00008304-070012 ASMTEN00008304-070012 0.363 0.481 Yes
ASMTEN00008306-070001 ASMTEN00008306-070001 0.422 0.494 No
ASMTEN00008306-070003 ASMTEN00008306-070003 0.977 0.151 Yes
ASMTEN00008306-070005 ASMTEN00008306-070005 0.732 0.443 No
ASMTEN00008306-070009 ASMTEN00008306-070009 0.628 0.483 No
ASMTEN00008306-070010 ASMTEN00008306-070010 0.565 0.496 No
ASMTEN00008307-070001 ASMTEN00008307-070001 0.640 0.480 No
ASMTEN00008307-070005 ASMTEN00008307-070005 0.827 0.378 No
ASMTEN00008307-070007 ASMTEN00008307-070007 0.659 0.474 No
ASMTEN00008308-070003 ASMTEN00008308-070003 0.986 0.117 Yes
ASMTEN00008308-070005 ASMTEN00008308-070005 0.735 0.442 No
ASMTEN00008308-070006 ASMTEN00008308-070006 0.589 0.492 No
ASMTEN00008308-070007 ASMTEN00008308-070007 0.747 0.435 No
ASMTEN00008308-070011 ASMTEN00008308-070011 0.753 0.431 No
ASMTEN00008308-070012 ASMTEN00008308-070012 0.685 0.465 No
ASMTEN00008308-070013 ASMTEN00008308-070013 0.380 0.486 Yes
ASMTEN00008309-070001 ASMTEN00008309-070001 0.822 0.382 No
ASMTEN00008309-070002 ASMTEN00008309-070002 0.478 0.500 No
ASMTEN00008401-070001 ASMTEN00008401-070001 0.633 0.482 No
ASMTEN00008401-070002 ASMTEN00008401-070002 0.892 0.311 Yes
ASMTEN00008401-070003 ASMTEN00008401-070003 0.568 0.496 No
ASMTEN00008401-070004 ASMTEN00008401-070004 0.948 0.222 Yes
ASMTEN00008402-070002 ASMTEN00008402-070002 0.330 0.470 Yes
ASMTEN00008402-070005 ASMTEN00008402-070005 0.493 0.500 No
ASMTEN00008402-070016 ASMTEN00008402-070016 0.478 0.500 No
ASMTEN00008402-070017 ASMTEN00008402-070017 0.407 0.492 Yes
ASMTEN00008403-070001 ASMTEN00008403-070001 0.339 0.474 Yes
ASMTEN00008403-070003 ASMTEN00008403-070003 0.301 0.459 Yes
ASMTEN00008403-070005 ASMTEN00008403-070005 0.590 0.492 No
ASMTEN00008403-070007 ASMTEN00008403-070007 0.874 0.331 No
ASMTEN00008405-070001 ASMTEN00008405-070001 0.931 0.253 Yes
ASMTEN00008405-070002 ASMTEN00008405-070002 0.609 0.488 No
ASMTEN00008405-070005 ASMTEN00008405-070005 0.893 0.309 Yes
ASMTEN00008405-070007 ASMTEN00008405-070007 0.705 0.456 No
ASMTEN00008406-070004 ASMTEN00008406-070004 0.731 0.444 No
ASMTEN00008406-070005 ASMTEN00008406-070005 0.447 0.497 No
ASMTEN00008406-070006 ASMTEN00008406-070006 0.925 0.264 Yes
ASMTEN00008406-070008 ASMTEN00008406-070008 0.635 0.482 No

Problematic Items

kable(data.frame(Problematic_Items = Form4_problematic),
      caption = "Problematic Items for Form 4") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Problematic Items for Form 4
Problematic_Items
ASMTEN00000102-090025-03
ASMTEN00000102-090095-01
ASMTEN00000102-090109
ASMTEN00008103-060003
ASMTEN00008104-060009
ASMTEN00008104-060010
ASMTEN00008104-060011
ASMTEN00008105-060004
ASMTEN00008106-060001
ASMTEN00008106-060002
ASMTEN00008106-060003
ASMTEN00008106-060004
ASMTEN00008202-060014
ASMTEN00008202-060016
ASMTEN00008205-060014
ASMTEN00008205-060016
ASMTEN00008206-060005
ASMTEN00008207-060003
ASMTEN00008208-060008
ASMTEN00008301-070004
ASMTEN00008302-070001
ASMTEN00008302-070002
ASMTEN00008303-070009
ASMTEN00008304-070002
ASMTEN00008304-070004
ASMTEN00008304-070012
ASMTEN00008306-070003
ASMTEN00008308-070003
ASMTEN00008308-070013
ASMTEN00008401-070002
ASMTEN00008401-070004
ASMTEN00008402-070002
ASMTEN00008402-070017
ASMTEN00008403-070001
ASMTEN00008403-070003
ASMTEN00008405-070001
ASMTEN00008405-070005
ASMTEN00008406-070006

Item Response Theory Results

Test Information Curve

Form4_clean <- remove_problematic_items(Form4, Form4_problematic)
Form4_IRT <- mirt(Form4_clean, 1, itemtype = "2PL")
## 
Iteration: 1, Log-Lik: -69730.369, Max-Change: 1.21411
Iteration: 2, Log-Lik: -68210.904, Max-Change: 0.56191
Iteration: 3, Log-Lik: -67756.303, Max-Change: 0.30944
Iteration: 4, Log-Lik: -67604.849, Max-Change: 0.25102
Iteration: 5, Log-Lik: -67585.188, Max-Change: 0.04834
Iteration: 6, Log-Lik: -67580.632, Max-Change: 0.03076
Iteration: 7, Log-Lik: -67579.451, Max-Change: 0.01656
Iteration: 8, Log-Lik: -67578.981, Max-Change: 0.01793
Iteration: 9, Log-Lik: -67578.785, Max-Change: 0.00909
Iteration: 10, Log-Lik: -67578.636, Max-Change: 0.00783
Iteration: 11, Log-Lik: -67578.585, Max-Change: 0.00605
Iteration: 12, Log-Lik: -67578.542, Max-Change: 0.00427
Iteration: 13, Log-Lik: -67578.497, Max-Change: 0.00292
Iteration: 14, Log-Lik: -67578.486, Max-Change: 0.00193
Iteration: 15, Log-Lik: -67578.479, Max-Change: 0.00102
Iteration: 16, Log-Lik: -67578.476, Max-Change: 0.00209
Iteration: 17, Log-Lik: -67578.471, Max-Change: 0.00084
Iteration: 18, Log-Lik: -67578.469, Max-Change: 0.00105
Iteration: 19, Log-Lik: -67578.468, Max-Change: 0.00070
Iteration: 20, Log-Lik: -67578.467, Max-Change: 0.00124
Iteration: 21, Log-Lik: -67578.467, Max-Change: 0.00037
Iteration: 22, Log-Lik: -67578.467, Max-Change: 0.00033
Iteration: 23, Log-Lik: -67578.466, Max-Change: 0.00076
Iteration: 24, Log-Lik: -67578.466, Max-Change: 0.00027
Iteration: 25, Log-Lik: -67578.466, Max-Change: 0.00024
Iteration: 26, Log-Lik: -67578.465, Max-Change: 0.00059
Iteration: 27, Log-Lik: -67578.465, Max-Change: 0.00085
Iteration: 28, Log-Lik: -67578.465, Max-Change: 0.00019
Iteration: 29, Log-Lik: -67578.465, Max-Change: 0.00047
Iteration: 30, Log-Lik: -67578.464, Max-Change: 0.00067
Iteration: 31, Log-Lik: -67578.464, Max-Change: 0.00016
Iteration: 32, Log-Lik: -67578.464, Max-Change: 0.00040
Iteration: 33, Log-Lik: -67578.464, Max-Change: 0.00057
Iteration: 34, Log-Lik: -67578.464, Max-Change: 0.00013
Iteration: 35, Log-Lik: -67578.464, Max-Change: 0.00033
Iteration: 36, Log-Lik: -67578.463, Max-Change: 0.00048
Iteration: 37, Log-Lik: -67578.463, Max-Change: 0.00011
Iteration: 38, Log-Lik: -67578.463, Max-Change: 0.00027
Iteration: 39, Log-Lik: -67578.463, Max-Change: 0.00039
Iteration: 40, Log-Lik: -67578.463, Max-Change: 0.00009
plot(Form4_IRT, type = "info", main = "Test Information Curve for Form 4")

Item Parameters

Form4_Params <- get_item_params(Form4_IRT)
kable(Form4_Params, caption = "Item Parameters for Form 4", digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Item Parameters for Form 4
item items.a items.b items.g items.u
ASMTEN00000102-090028-01 ASMTEN00000102-090028-01 1.255 -1.198 0 1
ASMTEN00000102-090050 ASMTEN00000102-090050 0.003 -358.379 0 1
ASMTEN00008102-060002 ASMTEN00008102-060002 1.409 -1.653 0 1
ASMTEN00008102-060003 ASMTEN00008102-060003 -0.618 1.916 0 1
ASMTEN00008102-060005 ASMTEN00008102-060005 0.911 -2.351 0 1
ASMTEN00008102-060007 ASMTEN00008102-060007 0.927 -0.865 0 1
ASMTEN00008103-060001 ASMTEN00008103-060001 -1.119 0.229 0 1
ASMTEN00008103-060002 ASMTEN00008103-060002 0.554 0.208 0 1
ASMTEN00008103-060005 ASMTEN00008103-060005 1.626 -0.903 0 1
ASMTEN00008103-060008 ASMTEN00008103-060008 -0.212 -1.171 0 1
ASMTEN00008104-060001 ASMTEN00008104-060001 0.567 0.268 0 1
ASMTEN00008105-060002 ASMTEN00008105-060002 0.319 -1.577 0 1
ASMTEN00008105-060007 ASMTEN00008105-060007 1.361 -0.379 0 1
ASMTEN00008105-060009 ASMTEN00008105-060009 1.064 -1.561 0 1
ASMTEN00008201-060001 ASMTEN00008201-060001 1.179 -0.411 0 1
ASMTEN00008201-060002 ASMTEN00008201-060002 1.170 -0.536 0 1
ASMTEN00008202-060003 ASMTEN00008202-060003 1.671 -0.164 0 1
ASMTEN00008202-060005 ASMTEN00008202-060005 0.474 -0.280 0 1
ASMTEN00008202-060006 ASMTEN00008202-060006 0.513 -1.646 0 1
ASMTEN00008202-060008 ASMTEN00008202-060008 0.020 -18.962 0 1
ASMTEN00008202-060011 ASMTEN00008202-060011 0.390 -1.557 0 1
ASMTEN00008202-060015 ASMTEN00008202-060015 1.334 -0.989 0 1
ASMTEN00008203-060002 ASMTEN00008203-060002 -0.393 1.173 0 1
ASMTEN00008203-060005 ASMTEN00008203-060005 1.636 -0.180 0 1
ASMTEN00008203-060006 ASMTEN00008203-060006 0.423 -3.567 0 1
ASMTEN00008203-060007 ASMTEN00008203-060007 0.345 -3.718 0 1
ASMTEN00008203-060013 ASMTEN00008203-060013 -0.281 1.774 0 1
ASMTEN00008204-060002 ASMTEN00008204-060002 0.254 -2.070 0 1
ASMTEN00008204-060003 ASMTEN00008204-060003 1.302 -1.113 0 1
ASMTEN00008204-060006 ASMTEN00008204-060006 0.567 0.471 0 1
ASMTEN00008204-060007 ASMTEN00008204-060007 0.456 -1.582 0 1
ASMTEN00008204-060010 ASMTEN00008204-060010 1.596 -0.469 0 1
ASMTEN00008205-060007 ASMTEN00008205-060007 1.879 -1.002 0 1
ASMTEN00008205-060009 ASMTEN00008205-060009 0.381 0.342 0 1
ASMTEN00008205-060010 ASMTEN00008205-060010 0.403 -5.231 0 1
ASMTEN00008206-060001 ASMTEN00008206-060001 0.394 -2.902 0 1
ASMTEN00008206-060002 ASMTEN00008206-060002 -0.611 0.628 0 1
ASMTEN00008206-060003 ASMTEN00008206-060003 0.426 -1.994 0 1
ASMTEN00008206-060004 ASMTEN00008206-060004 -0.573 3.783 0 1
ASMTEN00008207-060001 ASMTEN00008207-060001 1.165 -1.305 0 1
ASMTEN00008207-060002 ASMTEN00008207-060002 1.581 -1.122 0 1
ASMTEN00008207-060005-02 ASMTEN00008207-060005-02 1.257 -1.091 0 1
ASMTEN00008207-060011 ASMTEN00008207-060011 0.277 -5.578 0 1
ASMTEN00008208-060003 ASMTEN00008208-060003 0.288 -3.296 0 1
ASMTEN00008208-060004 ASMTEN00008208-060004 0.207 -1.922 0 1
ASMTEN00008208-060005 ASMTEN00008208-060005 1.470 -0.221 0 1
ASMTEN00008209-060001 ASMTEN00008209-060001 -0.336 0.370 0 1
ASMTEN00008209-060003 ASMTEN00008209-060003 1.600 -1.700 0 1
ASMTEN00008209-060004 ASMTEN00008209-060004 1.384 -1.351 0 1
ASMTEN00008209-060005 ASMTEN00008209-060005 0.364 -0.479 0 1
ASMTEN00008209-060006 ASMTEN00008209-060006 2.185 -0.363 0 1
ASMTEN00008301-070001 ASMTEN00008301-070001 0.433 -1.231 0 1
ASMTEN00008301-070002 ASMTEN00008301-070002 -0.157 -0.012 0 1
ASMTEN00008301-070003 ASMTEN00008301-070003 1.435 -1.050 0 1
ASMTEN00008301-070006 ASMTEN00008301-070006 2.361 -0.298 0 1
ASMTEN00008302-070008 ASMTEN00008302-070008 1.199 -1.267 0 1
ASMTEN00008303-070001 ASMTEN00008303-070001 0.216 -4.513 0 1
ASMTEN00008303-070002 ASMTEN00008303-070002 1.063 -0.244 0 1
ASMTEN00008303-070003 ASMTEN00008303-070003 0.949 -2.262 0 1
ASMTEN00008303-070006 ASMTEN00008303-070006 0.057 -10.464 0 1
ASMTEN00008303-070008 ASMTEN00008303-070008 0.601 -3.074 0 1
ASMTEN00008304-070001 ASMTEN00008304-070001 0.568 -2.012 0 1
ASMTEN00008306-070001 ASMTEN00008306-070001 -0.222 -1.444 0 1
ASMTEN00008306-070005 ASMTEN00008306-070005 0.409 -2.556 0 1
ASMTEN00008306-070009 ASMTEN00008306-070009 1.154 -0.616 0 1
ASMTEN00008306-070010 ASMTEN00008306-070010 0.827 -0.400 0 1
ASMTEN00008307-070001 ASMTEN00008307-070001 1.674 -0.566 0 1
ASMTEN00008307-070005 ASMTEN00008307-070005 -0.593 2.823 0 1
ASMTEN00008307-070007 ASMTEN00008307-070007 0.120 -5.536 0 1
ASMTEN00008308-070005 ASMTEN00008308-070005 1.572 -0.941 0 1
ASMTEN00008308-070006 ASMTEN00008308-070006 0.155 -2.331 0 1
ASMTEN00008308-070007 ASMTEN00008308-070007 1.026 -1.276 0 1
ASMTEN00008308-070011 ASMTEN00008308-070011 0.302 -3.774 0 1
ASMTEN00008308-070012 ASMTEN00008308-070012 0.469 -1.744 0 1
ASMTEN00008309-070001 ASMTEN00008309-070001 0.877 -1.987 0 1
ASMTEN00008309-070002 ASMTEN00008309-070002 1.286 0.016 0 1
ASMTEN00008401-070001 ASMTEN00008401-070001 0.432 -1.330 0 1
ASMTEN00008401-070003 ASMTEN00008401-070003 0.147 -1.860 0 1
ASMTEN00008402-070005 ASMTEN00008402-070005 0.560 0.032 0 1
ASMTEN00008402-070016 ASMTEN00008402-070016 -0.111 -0.783 0 1
ASMTEN00008403-070005 ASMTEN00008403-070005 -0.272 1.364 0 1
ASMTEN00008403-070007 ASMTEN00008403-070007 0.690 -3.034 0 1
ASMTEN00008405-070002 ASMTEN00008405-070002 0.542 -0.888 0 1
ASMTEN00008405-070007 ASMTEN00008405-070007 1.189 -0.953 0 1
ASMTEN00008406-070004 ASMTEN00008406-070004 1.078 -1.147 0 1
ASMTEN00008406-070005 ASMTEN00008406-070005 0.368 0.589 0 1
ASMTEN00008406-070008 ASMTEN00008406-070008 1.858 -0.531 0 1

Response Frequencies

Form4_freq <- calculate_frequencies_wide(Form4_respcode)
kable(Form4_freq, caption = "Response Frequencies for Form 4") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Response Frequencies for Form 4
Item Response_1 Response_2 Response_3 Response_4 Response_5 Response_6 Response_7 Response_8
Response 1 25 51 1240 20 0 0 0 0
Response 10 756 133 392 55 0 0 0 0
Response 100 998 91 208 39 0 0 0 0
Response 101 1009 70 86 171 0 0 0 0
Response 102 69 156 916 195 0 0 0 0
Response 103 312 364 152 508 0 0 0 0
Response 104 49 79 107 1101 0 0 0 0
Response 105 302 41 643 350 0 0 0 0
Response 106 54 840 109 333 0 0 0 0
Response 107 32 96 16 1192 0 0 0 0
Response 108 125 298 757 156 0 0 0 0
Response 109 26 1267 5 38 0 0 0 0
Response 11 205 239 264 628 0 0 0 0
Response 110 263 397 443 233 0 0 0 0
Response 111 25 655 456 200 0 0 0 0
Response 112 639 330 203 164 0 0 0 0
Response 113 216 545 194 381 0 0 0 0
Response 114 144 360 373 459 0 0 0 0
Response 115 75 395 565 301 0 0 0 0
Response 116 790 292 105 149 0 0 0 0
Response 117 32 1169 98 37 0 0 0 0
Response 118 23 39 1243 31 0 0 0 0
Response 119 17 812 355 152 0 0 0 0
Response 12 2 1332 1 1 0 0 0 0
Response 120 59 18 67 1192 0 0 0 0
Response 121 83 46 261 946 0 0 0 0
Response 122 60 58 977 241 0 0 0 0
Response 123 322 56 600 358 0 0 0 0
Response 124 1238 45 23 30 0 0 0 0
Response 125 229 850 61 196 0 0 0 0
Response 13 48 247 972 69 0 0 0 0
Response 14 51 513 185 587 0 0 0 0
Response 15 469 201 611 55 0 0 0 0
Response 16 1306 6 1 23 0 0 0 0
Response 17 7 33 1 1295 0 0 0 0
Response 18 1330 2 3 1 0 0 0 0
Response 19 42 28 445 821 0 0 0 0
Response 2 183 115 19 1019 0 0 0 0
Response 20 1264 68 4 0 0 0 0 0
Response 21 33 776 415 112 0 0 0 0
Response 22 65 188 1070 13 0 0 0 0
Response 23 6 13 1304 13 0 0 0 0
Response 24 1278 41 13 4 0 0 0 0
Response 25 1307 16 10 3 0 0 0 0
Response 26 1287 22 5 22 0 0 0 0
Response 27 35 463 781 57 0 0 0 0
Response 28 352 48 122 814 0 0 0 0
Response 29 80 697 295 264 0 0 0 0
Response 3 73 134 1027 102 0 0 0 0
Response 30 702 347 199 88 0 0 0 0
Response 31 119 148 157 912 0 0 0 0
Response 32 794 181 203 158 0 0 0 0
Response 33 853 9 453 21 0 0 0 0
Response 34 1252 7 46 31 0 0 0 0
Response 35 69 974 68 225 0 0 0 0
Response 36 1246 3 80 7 0 0 0 0
Response 37 44 98 381 813 0 0 0 0
Response 38 708 76 413 139 0 0 0 0
Response 39 8 1085 9 234 0 0 0 0
Response 4 1279 15 26 16 0 0 0 0
Response 40 39 191 1039 67 0 0 0 0
Response 41 827 262 112 135 0 0 0 0
Response 42 199 224 77 836 0 0 0 0
Response 43 152 1001 80 103 0 0 0 0
Response 44 314 582 240 200 0 0 0 0
Response 45 73 888 283 92 0 0 0 0
Response 46 36 101 813 386 0 0 0 0
Response 47 51 1027 182 76 0 0 0 0
Response 48 623 604 68 41 0 0 0 0
Response 49 78 34 1182 42 0 0 0 0
Response 5 275 335 451 275 0 0 0 0
Response 50 119 451 340 426 0 0 0 0
Response 51 263 227 395 451 0 0 0 0
Response 52 76 1001 47 212 0 0 0 0
Response 53 142 89 783 322 0 0 0 0
Response 54 926 198 118 94 0 0 0 0
Response 55 1179 72 7 78 0 0 0 0
Response 56 8 24 10 1294 0 0 0 0
Response 57 80 188 1031 37 0 0 0 0
Response 58 54 146 1040 96 0 0 0 0
Response 59 1226 50 10 50 0 0 0 0
Response 6 149 14 25 1148 0 0 0 0
Response 60 91 118 982 145 0 0 0 0
Response 61 94 33 1098 111 0 0 0 0
Response 62 344 956 27 9 0 0 0 0
Response 63 16 167 803 350 0 0 0 0
Response 64 717 364 31 224 0 0 0 0
Response 65 1219 18 95 4 0 0 0 0
Response 66 169 42 714 411 0 0 0 0
Response 67 1184 37 66 49 0 0 0 0
Response 68 1076 59 26 175 0 0 0 0
Response 69 272 81 723 260 0 0 0 0
Response 7 278 39 1005 14 0 0 0 0
Response 70 225 50 783 278 0 0 0 0
Response 71 117 60 827 332 0 0 0 0
Response 72 667 278 150 241 0 0 0 0
Response 73 1001 88 143 104 0 0 0 0
Response 74 1248 81 7 0 0 0 0 0
Response 75 178 292 109 757 0 0 0 0
Response 76 340 142 319 535 0 0 0 0
Response 77 91 11 1203 31 0 0 0 0
Response 78 181 1030 37 88 0 0 0 0
Response 79 969 294 59 14 0 0 0 0
Response 8 22 117 40 1157 0 0 0 0
Response 80 83 495 720 38 0 0 0 0
Response 81 69 78 1163 26 0 0 0 0
Response 82 139 249 84 864 0 0 0 0
Response 83 77 21 1142 96 0 0 0 0
Response 84 67 4 2 1263 0 0 0 0
Response 85 147 988 178 23 0 0 0 0
Response 86 216 456 412 252 0 0 0 0
Response 87 185 539 368 244 0 0 0 0
Response 88 225 479 537 95 0 0 0 0
Response 89 515 74 560 187 0 0 0 0
Response 9 92 878 92 274 0 0 0 0
Response 90 2 14 14 1306 0 0 0 0
Response 91 980 144 47 165 0 0 0 0
Response 92 153 837 226 120 0 0 0 0
Response 93 41 468 755 72 0 0 0 0
Response 94 176 27 41 9 684 141 201 57
Response 95 26 88 116 1106 0 0 0 0
Response 96 48 288 879 121 0 0 0 0
Response 97 1319 4 9 4 0 0 0 0
Response 98 14 28 313 981 0 0 0 0
Response 99 785 275 109 167 0 0 0 0

Reliability Summary

# Function to calculate Cronbach's alpha
calculate_alpha <- function(form_data) {
  alpha_result <- psych::alpha(form_data)
  return(alpha_result$total$std.alpha)
}

reliability_results <- data.frame(
  Form = c("Form 1", "Form 2", "Form 3", "Form 4"),
  Cronbachs_Alpha = c(
    calculate_alpha(Form1),
    calculate_alpha(Form2),
    calculate_alpha(Form3),
    calculate_alpha(Form4)
  )
)
## Some items ( ASMTEN00008103-060001 ASMTEN00008105-060008 ASMTEN00008105-060011 ASMTEN00008203-060013 ASMTEN00008206-060002 ASMTEN00008209-060001 ASMTEN00008301-070007 ASMTEN00008303-070005 ASMTEN00008307-070002 ASMTEN00008307-070005 ASMTEN00008308-070013 ASMTEN00008402-070009-01 ASMTEN00008403-070002 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' optionSome items ( ASMTEN00000102-090022-01 ASMTEN00008102-060003 ASMTEN00008103-060001 ASMTEN00008103-060004 ASMTEN00008105-060011 ASMTEN00008203-060002 ASMTEN00008203-060013 ASMTEN00008205-060014 ASMTEN00008206-060004 ASMTEN00008302-070009 ASMTEN00008303-070005 ASMTEN00008307-070005 ASMTEN00008402-070017 ASMTEN00008403-070002 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' optionSome items ( ASMTEN00000102-090022-01 ASMTEN00008103-060001 ASMTEN00008104-060008 ASMTEN00008202-060010 ASMTEN00008203-060002 ASMTEN00008301-070007 ASMTEN00008302-070003 ASMTEN00008302-070004 ASMTEN00008303-070007 ASMTEN00008307-070002 ASMTEN00008307-070004 ASMTEN00008307-070005 ASMTEN00008403-070008 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' optionSome items ( ASMTEN00008102-060003 ASMTEN00008103-060001 ASMTEN00008203-060002 ASMTEN00008206-060002 ASMTEN00008209-060001 ASMTEN00008304-070012 ASMTEN00008306-070001 ASMTEN00008307-070005 ASMTEN00008403-070005 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' option
kable(reliability_results, 
      caption = "Reliability (Cronbach's Alpha) for All Forms", 
      digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Reliability (Cronbach’s Alpha) for All Forms
Form Cronbachs_Alpha
Form 1 0.863
Form 2 0.879
Form 3 0.864
Form 4 0.869
# Calculate and display alpha for cleaned forms
reliability_results_cleaned <- data.frame(
  Form = c("Form 1 (Cleaned)", "Form 2 (Cleaned)", "Form 3 (Cleaned)", "Form 4 (Cleaned)"),
  Cronbachs_Alpha = c(
    calculate_alpha(Form1_clean),
    calculate_alpha(Form2_clean),
    calculate_alpha(Form3_clean),
    calculate_alpha(Form4_clean)
  )
)
## Some items ( ASMTEN00000102-090022-01 ASMTEN00008103-060001 ASMTEN00008202-060013 ASMTEN00008203-060013 ASMTEN00008206-060002 ASMTEN00008209-060001 ASMTEN00008301-070007 ASMTEN00008307-070002 ASMTEN00008307-070005 ASMTEN00008402-070009-01 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' optionSome items ( ASMTEN00000102-090022-01 ASMTEN00008102-060003 ASMTEN00008103-060001 ASMTEN00008103-060004 ASMTEN00008203-060002 ASMTEN00008203-060013 ASMTEN00008206-060004 ASMTEN00008207-060006 ASMTEN00008208-060002 ASMTEN00008301-070002 ASMTEN00008302-070009 ASMTEN00008307-070005 ASMTEN00008402-070016 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' optionSome items ( ASMTEN00000102-090022-01 ASMTEN00008103-060001 ASMTEN00008202-060010 ASMTEN00008202-060013 ASMTEN00008203-060002 ASMTEN00008206-060004 ASMTEN00008207-060006 ASMTEN00008301-070007 ASMTEN00008302-070004 ASMTEN00008307-070002 ASMTEN00008307-070004 ASMTEN00008307-070005 ASMTEN00008403-070005 ASMTEN00008403-070008 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' optionSome items ( ASMTEN00008102-060003 ASMTEN00008103-060001 ASMTEN00008103-060008 ASMTEN00008203-060002 ASMTEN00008203-060013 ASMTEN00008206-060002 ASMTEN00008206-060004 ASMTEN00008209-060001 ASMTEN00008306-070001 ASMTEN00008307-070005 ASMTEN00008403-070005 ) were negatively correlated with the total scale and 
## probably should be reversed.  
## To do this, run the function again with the 'check.keys=TRUE' option
kable(reliability_results_cleaned, 
      caption = "Reliability (Cronbach's Alpha) for All Forms After Removing Problematic Items", 
      digits = 3) %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Reliability (Cronbach’s Alpha) for All Forms After Removing Problematic Items
Form Cronbachs_Alpha
Form 1 (Cleaned) 0.847
Form 2 (Cleaned) 0.862
Form 3 (Cleaned) 0.843
Form 4 (Cleaned) 0.851

Table of Problematic Items

# Collect CTT results and problematic items for all forms
all_ctt_results <- list(
  Form1 = Form1_CTT,
  Form2 = Form2_CTT,
  Form3 = Form3_CTT,
  Form4 = Form4_CTT
)

all_problematic <- list(
  Form1 = Form1_problematic,
  Form2 = Form2_problematic,
  Form3 = Form3_problematic,
  Form4 = Form4_problematic
)

# Get unique item IDs
all_items <- unique(unlist(all_problematic))

# Create the summary data frame
problematic_summary <- data.frame(Item = all_items)

# Fill in the summary for each form
for (form in names(all_problematic)) {
  problematic_summary[[form]] <- sapply(problematic_summary$Item, function(item) {
    if (item %in% all_problematic[[form]]) {
      mean_value <- all_ctt_results[[form]]$mean[all_ctt_results[[form]]$item == item]
      sprintf("%.3f", mean_value)  # Format to 3 decimal places
    } else {
      ""
    }
  })
}

# Sort the data frame by Item
problematic_summary <- problematic_summary[order(problematic_summary$Item),]

# Display the table
kable(problematic_summary, 
      caption = "Summary of Problematic Items Across All Forms (Showing Item Means)") %>%
  kable_styling(bootstrap_options = c("striped", "hover", "condensed", "responsive"))
Summary of Problematic Items Across All Forms (Showing Item Means)
Item Form1 Form2 Form3 Form4
38 ASMTEN00000102-090019-01 0.987 0.988
1 ASMTEN00000102-090023-01 0.991 0.986
39 ASMTEN00000102-090025-03 0.926 0.935 0.926
47 ASMTEN00000102-090026-01 0.938
2 ASMTEN00000102-090095-01 0.968 0.965 0.958
48 ASMTEN00000102-090109 0.384 0.339
49 ASMTEN00008102-060001 1.000
3 ASMTEN00008102-060005 0.909 0.896
4 ASMTEN00008103-060003 0.993 0.997 0.996 0.996
5 ASMTEN00008103-060007 0.989
6 ASMTEN00008103-060009 0.894
50 ASMTEN00008104-060008 0.404
40 ASMTEN00008104-060009 0.970 0.977
7 ASMTEN00008104-060010 0.956 0.958 0.971
8 ASMTEN00008104-060011 0.997 0.996 1.000 0.996
41 ASMTEN00008105-060004 0.951 0.946
9 ASMTEN00008105-060008 0.289
42 ASMTEN00008105-060010 0.903
10 ASMTEN00008105-060011 0.305 0.271
11 ASMTEN00008106-060001 0.983 0.982 0.985 0.976
12 ASMTEN00008106-060002 0.957 0.947 0.955 0.956
13 ASMTEN00008106-060003 0.985 0.980 0.979 0.978
14 ASMTEN00008106-060004 0.967 0.959 0.957 0.961
15 ASMTEN00008202-060014 0.928 0.919 0.904 0.937
16 ASMTEN00008202-060016 0.935 0.926 0.917 0.933
17 ASMTEN00008204-060004 0.394
18 ASMTEN00008205-060004 0.951 0.949
43 ASMTEN00008205-060014 0.302 0.319
54 ASMTEN00008205-060016 0.336
51 ASMTEN00008205-060018 0.911
19 ASMTEN00008206-060005 0.980 0.971 0.966
20 ASMTEN00008207-060003 0.915 0.928 0.918
21 ASMTEN00008208-060006 0.900 0.899
55 ASMTEN00008208-060008 0.909
22 ASMTEN00008301-070004 0.942 0.942 0.931
56 ASMTEN00008302-070001 0.405
57 ASMTEN00008302-070002 0.899
23 ASMTEN00008302-070003 0.392 0.401
24 ASMTEN00008303-070005 0.306 0.291
52 ASMTEN00008303-070007 0.390
44 ASMTEN00008303-070009 0.956 0.952 0.943
58 ASMTEN00008304-070002 0.313
59 ASMTEN00008304-070004 0.403
60 ASMTEN00008304-070012 0.363
25 ASMTEN00008306-070002 0.929 0.926 0.905
26 ASMTEN00008306-070003 0.965 0.964 0.965 0.977
27 ASMTEN00008307-070006 0.392
28 ASMTEN00008307-070008 0.959 0.952
53 ASMTEN00008308-070001 0.939
29 ASMTEN00008308-070003 0.985 0.982 0.985 0.986
30 ASMTEN00008308-070013 0.384 0.392 0.380
61 ASMTEN00008401-070002 0.892
31 ASMTEN00008401-070004 0.941 0.952 0.927 0.948
45 ASMTEN00008402-070002 0.322 0.312 0.330
32 ASMTEN00008402-070017 0.402 0.404 0.407
33 ASMTEN00008403-070001 0.317 0.339 0.339
34 ASMTEN00008403-070002 0.216 0.243
35 ASMTEN00008403-070003 0.296 0.291 0.301
36 ASMTEN00008405-070001 0.925 0.917 0.936 0.931
62 ASMTEN00008405-070005 0.893
37 ASMTEN00008406-070003 0.356
46 ASMTEN00008406-070006 0.919 0.914 0.925