Problem Set 4

Problem 1:

Complete the following: a. For a paired samples t-test, what N is needed for a test with an effect size of .35, p=.05, and power = .8?

Solution: We need N = 67+

Code:

library(pwr)

## Warning: package 'pwr' was built under R version 3.6.2

test1 <- pwr.t.test(sig.level=.05,d=0.35,power=.8,type="paired")
test1

## 
##      Paired t test power calculation 
## 
##               n = 66.01882
##               d = 0.35
##       sig.level = 0.05
##           power = 0.8
##     alternative = two.sided
## 
## NOTE: n is number of *pairs*

For an independent samples t-test, what power can I expect when I have an effect size of 1.3, a N of 20, and a p=.05?

Solution: We need power = 0.979 Code:

test2<-pwr.t.test(d=1.3,n=20,sig.level =0.05)
test2

## 
##      Two-sample t test power calculation 
## 
##               n = 20
##               d = 1.3
##       sig.level = 0.05
##           power = 0.9795753
##     alternative = two.sided
## 
## NOTE: n is number in *each* group

For a chi-squared test, what is the probability could detect an unfair die that is weighted and so lands on 6 20% of the time (instead of 1/6), and all other sides equally often, if I rolled the die 150 times (assuming I want to avoid calling a fair die ‘unfair’ 95% of time).

Solution: The die needs more than 1863+ to gain a fair die.

Code:

table <- cbind(c(0.16,0.16,0.16,0.16,0.16,0.20),rep(1,6)/6)
ES.w1(table[,1],table[,2])

## [1] 0.08333333

test <-pwr.chisq.test(w=0.083,df=5,sig.level=.05,power=.8)
test

## 
##      Chi squared power calculation 
## 
##               w = 0.083
##               N = 1862.042
##              df = 5
##       sig.level = 0.05
##           power = 0.8
## 
## NOTE: N is the number of observations

In a pilot study, I observed two measures x <- c(1.61, 0.84, -2.26, -0.32, 1.67, -0.30, -0.12, 0.99, -1.48, 0.31) y <- c( -0.74, 1.30, -1.72, 1.18, 2.07, -1.39, -0.77, -0.01, -0.18, 1.86) Using a p=.01, suppose I want to repeat this study with more observations. Plan how many observations I would need in this new experiment to ensure I have a 40%, 75%, and 95% chance of finding a correlation if it exists.

Solution: For r=0.4, we need n=67+ For r=0.75, we need n=15+ For r=0.95, we need n=6.5+

Code:

x <- c(1.61, 0.84, -2.26, -0.32, 1.67, -0.30, -0.12, 0.99, -1.48, 0.31)
y <- c( -0.74, 1.30, -1.72, 1.18, 2.07, -1.39, -0.77, -0.01, -0.18, 1.86)

rtest1 <- pwr.r.test(n=NULL,r=.4,sig.level=.01,power=0.8)
rtest1

## 
##      approximate correlation power calculation (arctangh transformation) 
## 
##               n = 67.60322
##               r = 0.4
##       sig.level = 0.01
##           power = 0.8
##     alternative = two.sided

rtest2 <- pwr.r.test(n=NULL,r=.75,sig.level=.01,power=0.8)
rtest2

## 
##      approximate correlation power calculation (arctangh transformation) 
## 
##               n = 15.08148
##               r = 0.75
##       sig.level = 0.01
##           power = 0.8
##     alternative = two.sided

rtest3 <- pwr.r.test(n=NULL,r=.95,sig.level=.01,power=0.8)
rtest3

## 
##      approximate correlation power calculation (arctangh transformation) 
## 
##               n = 6.43197
##               r = 0.95
##       sig.level = 0.01
##           power = 0.8
##     alternative = two.sided

Problem 2:

Using the Task Ratings data from the previous assignment, read in the data:

dat <- read.csv("TaskRatings.csv")
longmat <- rbind(as.matrix(dat[,3:10]),as.matrix(dat[,11:18]),as.matrix(dat[,19:26]),deparse.level=2)
data <- data.frame(task=dat$Task,rater= as.factor(rep(1:3,each=nrow(dat))),longmat)

In looking at the data, we suspected that the raters had different ranges of values overall–rater 3 seemed to give higher ratings than raters 1 and 2. Use a MANOVA test to model all the 7 ratings, using rater (as a factor) and task as predictors. Does it appear that raters have systematic differences? Use an lm function to create the model, then use Anova or Manova in the car library to run the MANOVA test. Compare at least two of the potential statistics produced by MANOVA. Note: lm requires a matrix as a dv, not a data frame. You may need to convert the columns of the longdat into a matrix using as.matrix().

Code:

library(car)

## Warning: package 'car' was built under R version 3.6.2

## Loading required package: carData

model1<- lm(cbind(data$GM.1,data$FM.1,data$R.1,data$V.1,data$LTM.1,data$WM.1,data$Att.1,data$EC.1)~data$task+as.factor(data$rater))
model1

## 
## Call:
## lm(formula = cbind(data$GM.1, data$FM.1, data$R.1, data$V.1, 
##     data$LTM.1, data$WM.1, data$Att.1, data$EC.1) ~ data$task + 
##     as.factor(data$rater))
## 
## Coefficients:
##                                                             [,1]      
## (Intercept)                                                  1.804e+00
## data$taskAircraft Identified Correctly                       5.692e-14
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test         -3.333e-01
## data$taskAssault Course                                      3.667e+00
## data$taskBarrier Maneuver Segments                           2.000e+00
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.333e+00
## data$taskBreak Down MEP-16 Generator                         1.000e+00
## data$taskBreakdown RATT station                              1.000e+00
## data$taskCable Jump                                          4.000e+00
## data$taskCommunication Received                              4.878e-14
## data$taskCommunications Transmitted                          5.024e-14
## data$taskComparison Task                                     3.333e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna            1.333e+00
## data$taskCross Country Maneuver Segments                     1.667e+00
## data$taskdepth perception                                    3.333e-01
## data$taskDigit Recall Memory Tests                          -6.667e-01
## data$taskDisassemble AT-1011 Whip Antenna                    1.000e+00
## data$taskDisassembly M901 ITV Traverse Mechanism             6.667e-01
## data$taskDragon Repair                                       1.333e+00
## data$taskDrinking H2O                                        1.333e+00
## data$taskDual Task                                          -3.333e-01
## data$taskDynamic Flexibility                                 3.333e+00
## data$taskemplace claymore                                    2.000e+00
## data$taskEncode/Decode Reasoning Test                       -3.333e-01
## data$taskErect Camoflague Net                                3.000e+00
## data$taskEstablish RATT Station                              1.333e+00
## data$taskEvaporative Cooling during activity                 1.333e+00
## data$taskExtent Flexibility                                  2.333e+00
## data$taskFADAC Printed Circuit Board                         1.333e+00
## data$taskfeeding                                             1.333e+00
## data$taskFiring Rate                                         1.333e+00
## data$taskFiring with NBC gloves                              1.333e+00
## data$taskFlight maneuvers                                    1.667e+00
## data$taskFlight maneuvers at night                           1.667e+00
## data$taskGeospatial feature search task                     -1.000e+00
## data$taskGrasp Stength                                       1.333e+00
## data$taskGripping                                            1.000e+00
## data$taskGross motor removal force task                      3.667e+00
## data$taskhead mobility                                       6.667e-01
## data$taskHearing                                            -1.667e+00
## data$taskhygiene/waste management                            2.000e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.667e+00
## data$taskInstall Security Equipment                          1.667e+00
## data$taskInstall Teletypewriter Equipment                    1.000e+00
## data$taskLogical Reasoning Test                             -1.000e+00
## data$taskmake sketch                                         6.667e-01
## data$taskManikin Spatial Test                               -6.667e-01
## data$taskMemory Search                                      -1.000e+00
## data$taskMessage Typing Time                                 6.667e-01
## data$taskMinnesota Manual Dexterity Test                     1.667e+00
## data$taskMovement Precision                                  3.333e-01
## data$taskNavigation Task                                     2.333e+00
## data$taskNight Combat Engagements                            2.667e+00
## data$taskNight Truck Driving - Line Stop                     1.333e+00
## data$taskNight Truck Driving - Reversing                     1.333e+00
## data$tasknumber comparison                                  -6.667e-01
## data$taskO'Connor Manual Dexterity Test                      1.333e+00
## data$taskObstacle course                                     3.667e+00
## data$taskObtaining Primers                                   1.333e+00
## data$taskOperate MEP-16 Generator                            1.667e+00
## data$taskOperate TSEC/KY-7 Security Equipment                1.333e+00
## data$taskpattern recognition                                -3.333e-01
## data$taskpencil and paper addition                          -3.333e-01
## data$taskPerdue Pegboard Manual Dexterity Test               1.667e+00
## data$taskphotograph target                                   1.667e+00
## data$taskPin and Washer Manual Dexterity Test                1.333e+00
## data$taskplotting concurrent with radio messages            -6.667e-01
## data$taskPost-Activity Comfort Scale (1-5)                   2.333e+00
## data$taskPre-Takeoff Checks                                  1.333e+00
## data$taskPrepare MEP-16 Generator for Operation              1.667e+00
## data$taskReassembly M901 ITV Traverse Mechanism              1.000e+00
## data$taskRecovery of M60A3 Tank                              1.000e+00
## data$taskrepair M60 Machine Gun                              6.667e-01
## data$taskrhyme test  (speech intelligibility)               -3.333e-01
## data$taskRifle firing-accuracy                               1.667e+00
## data$taskRoad March Maneuver Segments                        3.667e+00
## data$taskroute reconnaissance                                3.667e+00
## data$taskrunning                                             3.667e+00
## data$taskSearch performance task                             6.667e-01
## data$taskselective attention task                           -1.333e+00
## data$taskSerial Addition/Subtraction Reasoning Tests        -1.333e+00
## data$taskSet Radio Frequencies                               4.835e-14
## data$tasksimulated driving task                              2.000e+00
## data$taskSingle Digit Subtraction Memory Test               -1.000e+00
## data$tasksite computation                                    5.700e-14
## data$taskSix Letter Memory Test                             -6.667e-01
## data$taskSpatial Processing                                 -1.000e+00
## data$tasktake air sample                                     1.667e+00
## data$tasktake water sample                                   1.667e+00
## data$taskTarget Detection                                   -3.333e-01
## data$taskTarget Engagement                                   4.383e-14
## data$taskTarget Identifaction                               -6.667e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)   3.333e-01
## data$taskTLX Workload Scale                                  1.000e+00
## data$tasktorso mobility                                      2.333e+00
## data$taskTOW Self-Test Routine                               4.927e-14
## data$taskTransmitting Accurate Voice Messages               -3.333e-01
## data$tasktreadmill walking                                   3.667e+00
## data$taskTruck Driving - Line Stop                           1.000e+00
## data$taskTruck Driving - Reversing                           1.000e+00
## data$taskvisual-motor coordination                           2.667e+00
## data$taskVisual stimuli detection                            3.333e-01
## data$taskVon Frey hair test of tactile sensitivity          -3.333e-01
## data$taskWalking task                                        2.333e+00
## data$taskWargame Day Trials                                  3.333e+00
## data$taskWargame Night Trials                                3.333e+00
## data$taskWilkinson Four-Choice                              -6.667e-01
## as.factor(data$rater)2                                       1.178e+00
## as.factor(data$rater)3                                       2.411e+00
##                                                             [,2]      
## (Intercept)                                                  1.542e+00
## data$taskAircraft Identified Correctly                       3.333e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          2.333e+00
## data$taskAssault Course                                      2.333e+00
## data$taskBarrier Maneuver Segments                           3.000e+00
## data$taskBreak Down AN/MRC-138 Jeep Radio                    4.333e+00
## data$taskBreak Down MEP-16 Generator                         4.333e+00
## data$taskBreakdown RATT station                              3.667e+00
## data$taskCable Jump                                          2.333e+00
## data$taskCommunication Received                              2.667e+00
## data$taskCommunications Transmitted                          3.000e+00
## data$taskComparison Task                                     1.333e+00
## data$taskConstruct and Erect AT-1011 Whip Antenna            4.000e+00
## data$taskCross Country Maneuver Segments                     3.333e+00
## data$taskdepth perception                                    3.667e+00
## data$taskDigit Recall Memory Tests                          -3.333e-01
## data$taskDisassemble AT-1011 Whip Antenna                    4.000e+00
## data$taskDisassembly M901 ITV Traverse Mechanism             4.000e+00
## data$taskDragon Repair                                       5.000e+00
## data$taskDrinking H2O                                        3.333e+00
## data$taskDual Task                                           1.333e+00
## data$taskDynamic Flexibility                                 1.333e+00
## data$taskemplace claymore                                    3.333e+00
## data$taskEncode/Decode Reasoning Test                        2.000e+00
## data$taskErect Camoflague Net                                3.000e+00
## data$taskEstablish RATT Station                              3.667e+00
## data$taskEvaporative Cooling during activity                 6.253e-14
## data$taskExtent Flexibility                                  3.333e-01
## data$taskFADAC Printed Circuit Board                         4.333e+00
## data$taskfeeding                                             3.000e+00
## data$taskFiring Rate                                         3.667e+00
## data$taskFiring with NBC gloves                              4.667e+00
## data$taskFlight maneuvers                                    3.333e+00
## data$taskFlight maneuvers at night                           3.333e+00
## data$taskGeospatial feature search task                      4.643e-14
## data$taskGrasp Stength                                       4.667e+00
## data$taskGripping                                            4.333e+00
## data$taskGross motor removal force task                      2.667e+00
## data$taskhead mobility                                      -6.667e-01
## data$taskHearing                                            -3.333e-01
## data$taskhygiene/waste management                            2.000e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       4.000e+00
## data$taskInstall Security Equipment                          3.333e+00
## data$taskInstall Teletypewriter Equipment                    4.333e+00
## data$taskLogical Reasoning Test                              6.667e-01
## data$taskmake sketch                                         4.000e+00
## data$taskManikin Spatial Test                                3.333e-01
## data$taskMemory Search                                       3.333e-01
## data$taskMessage Typing Time                                 4.333e+00
## data$taskMinnesota Manual Dexterity Test                     5.000e+00
## data$taskMovement Precision                                  5.000e+00
## data$taskNavigation Task                                     1.000e+00
## data$taskNight Combat Engagements                            2.667e+00
## data$taskNight Truck Driving - Line Stop                     3.667e+00
## data$taskNight Truck Driving - Reversing                     3.667e+00
## data$tasknumber comparison                                   1.667e+00
## data$taskO'Connor Manual Dexterity Test                      5.000e+00
## data$taskObstacle course                                     2.333e+00
## data$taskObtaining Primers                                   2.333e+00
## data$taskOperate MEP-16 Generator                            4.000e+00
## data$taskOperate TSEC/KY-7 Security Equipment                3.333e+00
## data$taskpattern recognition                                 3.333e-01
## data$taskpencil and paper addition                           2.333e+00
## data$taskPerdue Pegboard Manual Dexterity Test               5.000e+00
## data$taskphotograph target                                   3.333e+00
## data$taskPin and Washer Manual Dexterity Test                5.000e+00
## data$taskplotting concurrent with radio messages             3.000e+00
## data$taskPost-Activity Comfort Scale (1-5)                   3.000e+00
## data$taskPre-Takeoff Checks                                  3.000e+00
## data$taskPrepare MEP-16 Generator for Operation              4.333e+00
## data$taskReassembly M901 ITV Traverse Mechanism              4.000e+00
## data$taskRecovery of M60A3 Tank                              3.667e+00
## data$taskrepair M60 Machine Gun                              4.333e+00
## data$taskrhyme test  (speech intelligibility)               -1.000e+00
## data$taskRifle firing-accuracy                               3.667e+00
## data$taskRoad March Maneuver Segments                        1.000e+00
## data$taskroute reconnaissance                                1.000e+00
## data$taskrunning                                            -3.333e-01
## data$taskSearch performance task                            -6.667e-01
## data$taskselective attention task                           -3.333e-01
## data$taskSerial Addition/Subtraction Reasoning Tests        -3.333e-01
## data$taskSet Radio Frequencies                               4.000e+00
## data$tasksimulated driving task                              2.333e+00
## data$taskSingle Digit Subtraction Memory Test                4.962e-14
## data$tasksite computation                                    2.333e+00
## data$taskSix Letter Memory Test                              6.667e-01
## data$taskSpatial Processing                                  3.333e-01
## data$tasktake air sample                                     3.000e+00
## data$tasktake water sample                                   3.000e+00
## data$taskTarget Detection                                    3.333e-01
## data$taskTarget Engagement                                   1.333e+00
## data$taskTarget Identifaction                                3.333e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)   4.000e+00
## data$taskTLX Workload Scale                                  2.667e+00
## data$tasktorso mobility                                      6.667e-01
## data$taskTOW Self-Test Routine                               4.000e+00
## data$taskTransmitting Accurate Voice Messages                1.333e+00
## data$tasktreadmill walking                                   1.000e+00
## data$taskTruck Driving - Line Stop                           3.333e+00
## data$taskTruck Driving - Reversing                           3.333e+00
## data$taskvisual-motor coordination                           3.667e+00
## data$taskVisual stimuli detection                            1.000e+00
## data$taskVon Frey hair test of tactile sensitivity           3.333e+00
## data$taskWalking task                                        1.667e+00
## data$taskWargame Day Trials                                  3.333e+00
## data$taskWargame Night Trials                                3.333e+00
## data$taskWilkinson Four-Choice                               1.667e+00
## as.factor(data$rater)2                                       6.729e-01
## as.factor(data$rater)3                                       7.009e-01
##                                                             [,3]      
## (Intercept)                                                  3.545e+00
## data$taskAircraft Identified Correctly                       1.667e+00
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          1.333e+00
## data$taskAssault Course                                      3.333e-01
## data$taskBarrier Maneuver Segments                           1.000e+00
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.333e+00
## data$taskBreak Down MEP-16 Generator                         1.333e+00
## data$taskBreakdown RATT station                              1.000e+00
## data$taskCable Jump                                         -1.000e+00
## data$taskCommunication Received                              3.333e-01
## data$taskCommunications Transmitted                          6.667e-01
## data$taskComparison Task                                     1.667e+00
## data$taskConstruct and Erect AT-1011 Whip Antenna            1.000e+00
## data$taskCross Country Maneuver Segments                     1.000e+00
## data$taskdepth perception                                    3.333e-01
## data$taskDigit Recall Memory Tests                           3.333e-01
## data$taskDisassemble AT-1011 Whip Antenna                    1.000e+00
## data$taskDisassembly M901 ITV Traverse Mechanism             1.000e+00
## data$taskDragon Repair                                       1.000e+00
## data$taskDrinking H2O                                       -1.667e+00
## data$taskDual Task                                           2.000e+00
## data$taskDynamic Flexibility                                -1.333e+00
## data$taskemplace claymore                                    6.667e-01
## data$taskEncode/Decode Reasoning Test                        1.667e+00
## data$taskErect Camoflague Net                                3.333e-01
## data$taskEstablish RATT Station                              1.333e+00
## data$taskEvaporative Cooling during activity                -1.667e+00
## data$taskExtent Flexibility                                 -2.000e+00
## data$taskFADAC Printed Circuit Board                         1.333e+00
## data$taskfeeding                                            -1.000e+00
## data$taskFiring Rate                                        -1.914e-14
## data$taskFiring with NBC gloves                             -2.103e-14
## data$taskFlight maneuvers                                    1.000e+00
## data$taskFlight maneuvers at night                           1.333e+00
## data$taskGeospatial feature search task                      1.000e+00
## data$taskGrasp Stength                                      -2.333e+00
## data$taskGripping                                           -2.333e+00
## data$taskGross motor removal force task                     -2.333e+00
## data$taskhead mobility                                      -2.667e+00
## data$taskHearing                                             6.667e-01
## data$taskhygiene/waste management                           -1.000e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.333e+00
## data$taskInstall Security Equipment                          3.333e-01
## data$taskInstall Teletypewriter Equipment                    3.333e-01
## data$taskLogical Reasoning Test                              3.333e+00
## data$taskmake sketch                                        -3.333e-01
## data$taskManikin Spatial Test                                2.000e+00
## data$taskMemory Search                                       3.333e-01
## data$taskMessage Typing Time                                -1.000e+00
## data$taskMinnesota Manual Dexterity Test                     3.333e-01
## data$taskMovement Precision                                 -1.785e-14
## data$taskNavigation Task                                     6.667e-01
## data$taskNight Combat Engagements                            1.333e+00
## data$taskNight Truck Driving - Line Stop                     3.333e-01
## data$taskNight Truck Driving - Reversing                     3.333e-01
## data$tasknumber comparison                                   1.667e+00
## data$taskO'Connor Manual Dexterity Test                     -1.499e-14
## data$taskObstacle course                                     3.333e-01
## data$taskObtaining Primers                                  -1.667e+00
## data$taskOperate MEP-16 Generator                            3.333e-01
## data$taskOperate TSEC/KY-7 Security Equipment                3.333e-01
## data$taskpattern recognition                                 2.000e+00
## data$taskpencil and paper addition                           1.667e+00
## data$taskPerdue Pegboard Manual Dexterity Test               3.333e-01
## data$taskphotograph target                                   6.667e-01
## data$taskPin and Washer Manual Dexterity Test                3.333e-01
## data$taskplotting concurrent with radio messages             2.000e+00
## data$taskPost-Activity Comfort Scale (1-5)                  -2.010e-14
## data$taskPre-Takeoff Checks                                  1.333e+00
## data$taskPrepare MEP-16 Generator for Operation              1.333e+00
## data$taskReassembly M901 ITV Traverse Mechanism              3.333e-01
## data$taskRecovery of M60A3 Tank                             -1.926e-14
## data$taskrepair M60 Machine Gun                              6.667e-01
## data$taskrhyme test  (speech intelligibility)                1.333e+00
## data$taskRifle firing-accuracy                               3.333e-01
## data$taskRoad March Maneuver Segments                       -6.667e-01
## data$taskroute reconnaissance                                1.667e+00
## data$taskrunning                                            -1.333e+00
## data$taskSearch performance task                            -3.333e-01
## data$taskselective attention task                            2.000e+00
## data$taskSerial Addition/Subtraction Reasoning Tests         2.667e+00
## data$taskSet Radio Frequencies                              -6.667e-01
## data$tasksimulated driving task                             -2.147e-14
## data$taskSingle Digit Subtraction Memory Test                1.333e+00
## data$tasksite computation                                    2.333e+00
## data$taskSix Letter Memory Test                              3.333e-01
## data$taskSpatial Processing                                  1.667e+00
## data$tasktake air sample                                    -1.805e-14
## data$tasktake water sample                                  -2.067e-14
## data$taskTarget Detection                                    6.667e-01
## data$taskTarget Engagement                                   2.333e+00
## data$taskTarget Identifaction                                1.667e+00
## data$taskTest of Reciprocal Alternation Performance (TRAP)  -6.667e-01
## data$taskTLX Workload Scale                                  3.333e-01
## data$tasktorso mobility                                     -1.667e+00
## data$taskTOW Self-Test Routine                               1.000e+00
## data$taskTransmitting Accurate Voice Messages                1.333e+00
## data$tasktreadmill walking                                  -1.000e+00
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           6.667e-01
## data$taskvisual-motor coordination                           3.333e-01
## data$taskVisual stimuli detection                            1.000e+00
## data$taskVon Frey hair test of tactile sensitivity          -2.207e-14
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  1.667e+00
## data$taskWargame Night Trials                                2.000e+00
## data$taskWilkinson Four-Choice                              -2.094e-14
## as.factor(data$rater)2                                      -3.084e-01
## as.factor(data$rater)3                                       6.729e-01
##                                                             [,4]      
## (Intercept)                                                  6.474e+00
## data$taskAircraft Identified Correctly                       6.667e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          6.667e-01
## data$taskAssault Course                                     -6.923e-15
## data$taskBarrier Maneuver Segments                           3.169e-15
## data$taskBreak Down AN/MRC-138 Jeep Radio                   -3.333e-01
## data$taskBreak Down MEP-16 Generator                         3.333e-01
## data$taskBreakdown RATT station                              3.333e-01
## data$taskCable Jump                                         -2.629e-15
## data$taskCommunication Received                             -2.667e+00
## data$taskCommunications Transmitted                         -2.667e+00
## data$taskComparison Task                                    -3.333e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna           -3.333e-01
## data$taskCross Country Maneuver Segments                     3.333e-01
## data$taskdepth perception                                   -6.907e-15
## data$taskDigit Recall Memory Tests                          -3.000e+00
## data$taskDisassemble AT-1011 Whip Antenna                   -3.333e-01
## data$taskDisassembly M901 ITV Traverse Mechanism            -3.333e-01
## data$taskDragon Repair                                       6.667e-01
## data$taskDrinking H2O                                       -1.667e+00
## data$taskDual Task                                          -3.333e-01
## data$taskDynamic Flexibility                                -2.000e+00
## data$taskemplace claymore                                   -3.333e-01
## data$taskEncode/Decode Reasoning Test                       -1.333e+00
## data$taskErect Camoflague Net                               -3.333e-01
## data$taskEstablish RATT Station                             -3.333e-01
## data$taskEvaporative Cooling during activity                -2.667e+00
## data$taskExtent Flexibility                                 -3.333e+00
## data$taskFADAC Printed Circuit Board                        -3.333e-01
## data$taskfeeding                                            -1.333e+00
## data$taskFiring Rate                                         3.333e-01
## data$taskFiring with NBC gloves                              3.333e-01
## data$taskFlight maneuvers                                   -2.009e-15
## data$taskFlight maneuvers at night                          -8.105e-15
## data$taskGeospatial feature search task                      3.333e-01
## data$taskGrasp Stength                                      -3.333e+00
## data$taskGripping                                           -3.667e+00
## data$taskGross motor removal force task                     -1.667e+00
## data$taskhead mobility                                      -3.667e+00
## data$taskHearing                                            -4.667e+00
## data$taskhygiene/waste management                           -2.333e+00
## data$taskInstall AN/MRC-138 Jeep Radio                      -6.667e-01
## data$taskInstall Security Equipment                         -3.333e-01
## data$taskInstall Teletypewriter Equipment                   -3.333e-01
## data$taskLogical Reasoning Test                             -6.667e-01
## data$taskmake sketch                                         3.333e-01
## data$taskManikin Spatial Test                                3.333e-01
## data$taskMemory Search                                      -3.333e-01
## data$taskMessage Typing Time                                -1.667e+00
## data$taskMinnesota Manual Dexterity Test                    -3.333e-01
## data$taskMovement Precision                                 -1.000e+00
## data$taskNavigation Task                                     3.333e-01
## data$taskNight Combat Engagements                            3.333e-01
## data$taskNight Truck Driving - Line Stop                     6.667e-01
## data$taskNight Truck Driving - Reversing                     6.667e-01
## data$tasknumber comparison                                  -3.333e-01
## data$taskO'Connor Manual Dexterity Test                      3.333e-01
## data$taskObstacle course                                    -6.667e-01
## data$taskObtaining Primers                                  -2.667e+00
## data$taskOperate MEP-16 Generator                           -6.667e-01
## data$taskOperate TSEC/KY-7 Security Equipment               -6.667e-01
## data$taskpattern recognition                                -4.997e-15
## data$taskpencil and paper addition                          -1.000e+00
## data$taskPerdue Pegboard Manual Dexterity Test               3.333e-01
## data$taskphotograph target                                   3.333e-01
## data$taskPin and Washer Manual Dexterity Test                3.333e-01
## data$taskplotting concurrent with radio messages             3.333e-01
## data$taskPost-Activity Comfort Scale (1-5)                  -6.667e-01
## data$taskPre-Takeoff Checks                                  3.333e-01
## data$taskPrepare MEP-16 Generator for Operation             -1.035e-16
## data$taskReassembly M901 ITV Traverse Mechanism             -6.667e-01
## data$taskRecovery of M60A3 Tank                             -6.667e-01
## data$taskrepair M60 Machine Gun                             -5.830e-15
## data$taskrhyme test  (speech intelligibility)               -6.667e-01
## data$taskRifle firing-accuracy                               3.333e-01
## data$taskRoad March Maneuver Segments                       -3.333e-01
## data$taskroute reconnaissance                                3.333e-01
## data$taskrunning                                            -6.667e-01
## data$taskSearch performance task                             3.333e-01
## data$taskselective attention task                           -6.667e-01
## data$taskSerial Addition/Subtraction Reasoning Tests        -1.333e+00
## data$taskSet Radio Frequencies                              -3.333e-01
## data$tasksimulated driving task                              6.667e-01
## data$taskSingle Digit Subtraction Memory Test               -1.667e+00
## data$tasksite computation                                   -8.616e-14
## data$taskSix Letter Memory Test                             -6.667e-01
## data$taskSpatial Processing                                  6.667e-01
## data$tasktake air sample                                    -3.333e-01
## data$tasktake water sample                                  -3.333e-01
## data$taskTarget Detection                                   -6.305e-15
## data$taskTarget Engagement                                  -1.402e-16
## data$taskTarget Identifaction                                6.667e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)  -6.000e+00
## data$taskTLX Workload Scale                                  3.333e-01
## data$tasktorso mobility                                     -3.000e+00
## data$taskTOW Self-Test Routine                              -4.537e-15
## data$taskTransmitting Accurate Voice Messages               -2.000e+00
## data$tasktreadmill walking                                  -3.333e-01
## data$taskTruck Driving - Line Stop                           6.667e-01
## data$taskTruck Driving - Reversing                           6.667e-01
## data$taskvisual-motor coordination                           3.333e-01
## data$taskVisual stimuli detection                           -4.569e-15
## data$taskVon Frey hair test of tactile sensitivity          -6.000e+00
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  6.667e-01
## data$taskWargame Night Trials                                6.667e-01
## data$taskWilkinson Four-Choice                               6.667e-01
## as.factor(data$rater)2                                      -1.308e+00
## as.factor(data$rater)3                                      -1.121e-01
##                                                             [,5]      
## (Intercept)                                                  3.832e+00
## data$taskAircraft Identified Correctly                       1.000e+00
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          6.667e-01
## data$taskAssault Course                                      6.672e-15
## data$taskBarrier Maneuver Segments                          -1.316e-14
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.333e+00
## data$taskBreak Down MEP-16 Generator                         1.333e+00
## data$taskBreakdown RATT station                              1.000e+00
## data$taskCable Jump                                         -1.885e-15
## data$taskCommunication Received                             -3.333e-01
## data$taskCommunications Transmitted                         -3.333e-01
## data$taskComparison Task                                     3.333e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna            3.333e-01
## data$taskCross Country Maneuver Segments                     3.333e-01
## data$taskdepth perception                                   -8.794e-15
## data$taskDigit Recall Memory Tests                           6.667e-01
## data$taskDisassemble AT-1011 Whip Antenna                    3.333e-01
## data$taskDisassembly M901 ITV Traverse Mechanism             3.333e-01
## data$taskDragon Repair                                       3.333e-01
## data$taskDrinking H2O                                       -3.333e-01
## data$taskDual Task                                           1.333e+00
## data$taskDynamic Flexibility                                -1.333e+00
## data$taskemplace claymore                                   -6.667e-01
## data$taskEncode/Decode Reasoning Test                       -3.333e-01
## data$taskErect Camoflague Net                               -3.333e-01
## data$taskEstablish RATT Station                              3.333e-01
## data$taskEvaporative Cooling during activity                -2.667e+00
## data$taskExtent Flexibility                                 -2.333e+00
## data$taskFADAC Printed Circuit Board                        -3.333e-01
## data$taskfeeding                                            -3.333e-01
## data$taskFiring Rate                                        -7.937e-15
## data$taskFiring with NBC gloves                              3.499e-15
## data$taskFlight maneuvers                                    3.333e-01
## data$taskFlight maneuvers at night                           6.667e-01
## data$taskGeospatial feature search task                      1.904e-15
## data$taskGrasp Stength                                      -2.000e+00
## data$taskGripping                                           -2.000e+00
## data$taskGross motor removal force task                     -1.667e+00
## data$taskhead mobility                                      -2.000e+00
## data$taskHearing                                            -1.000e+00
## data$taskhygiene/waste management                           -1.333e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.000e+00
## data$taskInstall Security Equipment                         -6.667e-01
## data$taskInstall Teletypewriter Equipment                   -6.667e-01
## data$taskLogical Reasoning Test                              2.184e-15
## data$taskmake sketch                                        -3.333e-01
## data$taskManikin Spatial Test                               -1.000e+00
## data$taskMemory Search                                       6.667e-01
## data$taskMessage Typing Time                                -3.333e-01
## data$taskMinnesota Manual Dexterity Test                    -1.333e+00
## data$taskMovement Precision                                 -1.333e+00
## data$taskNavigation Task                                     6.667e-01
## data$taskNight Combat Engagements                            3.333e-01
## data$taskNight Truck Driving - Line Stop                    -4.377e-15
## data$taskNight Truck Driving - Reversing                    -2.362e-15
## data$tasknumber comparison                                  -3.333e-01
## data$taskO'Connor Manual Dexterity Test                     -1.667e+00
## data$taskObstacle course                                    -6.667e-01
## data$taskObtaining Primers                                  -1.333e+00
## data$taskOperate MEP-16 Generator                           -3.084e-15
## data$taskOperate TSEC/KY-7 Security Equipment               -6.667e-01
## data$taskpattern recognition                                -3.333e-01
## data$taskpencil and paper addition                          -5.885e-15
## data$taskPerdue Pegboard Manual Dexterity Test              -1.000e+00
## data$taskphotograph target                                  -6.674e-15
## data$taskPin and Washer Manual Dexterity Test               -1.000e+00
## data$taskplotting concurrent with radio messages             6.667e-01
## data$taskPost-Activity Comfort Scale (1-5)                  -2.365e-15
## data$taskPre-Takeoff Checks                                  6.667e-01
## data$taskPrepare MEP-16 Generator for Operation              3.333e-01
## data$taskReassembly M901 ITV Traverse Mechanism             -2.424e-15
## data$taskRecovery of M60A3 Tank                             -6.667e-01
## data$taskrepair M60 Machine Gun                             -3.333e-01
## data$taskrhyme test  (speech intelligibility)                6.667e-01
## data$taskRifle firing-accuracy                               3.333e-01
## data$taskRoad March Maneuver Segments                       -1.333e+00
## data$taskroute reconnaissance                                1.000e+00
## data$taskrunning                                            -4.995e-15
## data$taskSearch performance task                            -2.325e-15
## data$taskselective attention task                            3.333e-01
## data$taskSerial Addition/Subtraction Reasoning Tests        -5.818e-15
## data$taskSet Radio Frequencies                              -1.000e+00
## data$tasksimulated driving task                              3.333e-01
## data$taskSingle Digit Subtraction Memory Test               -4.019e-15
## data$tasksite computation                                    6.667e-01
## data$taskSix Letter Memory Test                             -3.333e-01
## data$taskSpatial Processing                                 -3.333e-01
## data$tasktake air sample                                    -6.667e-01
## data$tasktake water sample                                  -6.667e-01
## data$taskTarget Detection                                    3.333e-01
## data$taskTarget Engagement                                  -2.989e-15
## data$taskTarget Identifaction                                3.333e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)  -1.000e+00
## data$taskTLX Workload Scale                                  6.667e-01
## data$tasktorso mobility                                     -2.333e+00
## data$taskTOW Self-Test Routine                              -5.487e-15
## data$taskTransmitting Accurate Voice Messages               -3.333e-01
## data$tasktreadmill walking                                  -5.113e-15
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           3.333e-01
## data$taskvisual-motor coordination                          -3.333e-01
## data$taskVisual stimuli detection                            3.333e-01
## data$taskVon Frey hair test of tactile sensitivity          -1.333e+00
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  3.333e-01
## data$taskWargame Night Trials                                6.667e-01
## data$taskWilkinson Four-Choice                              -1.667e+00
## as.factor(data$rater)2                                      -1.589e-01
## as.factor(data$rater)3                                       2.664e+00
##                                                             [,6]      
## (Intercept)                                                  3.785e+00
## data$taskAircraft Identified Correctly                       3.333e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          1.667e+00
## data$taskAssault Course                                      3.333e-01
## data$taskBarrier Maneuver Segments                           3.333e-01
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.000e+00
## data$taskBreak Down MEP-16 Generator                         1.000e+00
## data$taskBreakdown RATT station                              1.000e+00
## data$taskCable Jump                                         -1.333e+00
## data$taskCommunication Received                              1.000e+00
## data$taskCommunications Transmitted                          1.333e+00
## data$taskComparison Task                                     1.667e+00
## data$taskConstruct and Erect AT-1011 Whip Antenna            1.667e+00
## data$taskCross Country Maneuver Segments                     6.667e-01
## data$taskdepth perception                                    5.252e-15
## data$taskDigit Recall Memory Tests                           2.000e+00
## data$taskDisassemble AT-1011 Whip Antenna                    1.000e+00
## data$taskDisassembly M901 ITV Traverse Mechanism             1.000e+00
## data$taskDragon Repair                                       1.000e+00
## data$taskDrinking H2O                                       -1.333e+00
## data$taskDual Task                                           2.333e+00
## data$taskDynamic Flexibility                                -1.000e+00
## data$taskemplace claymore                                    3.333e-01
## data$taskEncode/Decode Reasoning Test                        1.667e+00
## data$taskErect Camoflague Net                                6.667e-01
## data$taskEstablish RATT Station                              1.000e+00
## data$taskEvaporative Cooling during activity                -1.667e+00
## data$taskExtent Flexibility                                 -2.000e+00
## data$taskFADAC Printed Circuit Board                         1.000e+00
## data$taskfeeding                                            -1.000e+00
## data$taskFiring Rate                                         5.850e-15
## data$taskFiring with NBC gloves                              8.301e-15
## data$taskFlight maneuvers                                    1.333e+00
## data$taskFlight maneuvers at night                           1.667e+00
## data$taskGeospatial feature search task                     -6.667e-01
## data$taskGrasp Stength                                      -2.667e+00
## data$taskGripping                                           -2.667e+00
## data$taskGross motor removal force task                     -2.000e+00
## data$taskhead mobility                                      -2.000e+00
## data$taskHearing                                             7.329e-15
## data$taskhygiene/waste management                           -1.667e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.000e+00
## data$taskInstall Security Equipment                          6.667e-01
## data$taskInstall Teletypewriter Equipment                    1.000e+00
## data$taskLogical Reasoning Test                              1.333e+00
## data$taskmake sketch                                        -6.667e-01
## data$taskManikin Spatial Test                               -3.333e-01
## data$taskMemory Search                                       2.000e+00
## data$taskMessage Typing Time                                 3.333e-01
## data$taskMinnesota Manual Dexterity Test                     3.333e-01
## data$taskMovement Precision                                 -6.667e-01
## data$taskNavigation Task                                     6.667e-01
## data$taskNight Combat Engagements                            1.667e+00
## data$taskNight Truck Driving - Line Stop                     3.333e-01
## data$taskNight Truck Driving - Reversing                     3.333e-01
## data$tasknumber comparison                                  -3.333e-01
## data$taskO'Connor Manual Dexterity Test                     -3.333e-01
## data$taskObstacle course                                     1.538e-14
## data$taskObtaining Primers                                  -2.000e+00
## data$taskOperate MEP-16 Generator                            3.333e-01
## data$taskOperate TSEC/KY-7 Security Equipment                3.333e-01
## data$taskpattern recognition                                 1.667e+00
## data$taskpencil and paper addition                           1.064e-14
## data$taskPerdue Pegboard Manual Dexterity Test               3.333e-01
## data$taskphotograph target                                   7.260e-15
## data$taskPin and Washer Manual Dexterity Test                3.333e-01
## data$taskplotting concurrent with radio messages             1.333e+00
## data$taskPost-Activity Comfort Scale (1-5)                  -3.333e-01
## data$taskPre-Takeoff Checks                                  1.333e+00
## data$taskPrepare MEP-16 Generator for Operation              1.333e+00
## data$taskReassembly M901 ITV Traverse Mechanism              1.026e-14
## data$taskRecovery of M60A3 Tank                             -6.667e-01
## data$taskrepair M60 Machine Gun                              1.000e+00
## data$taskrhyme test  (speech intelligibility)                3.333e-01
## data$taskRifle firing-accuracy                               8.645e-15
## data$taskRoad March Maneuver Segments                       -1.333e+00
## data$taskroute reconnaissance                                6.667e-01
## data$taskrunning                                            -6.667e-01
## data$taskSearch performance task                            -6.667e-01
## data$taskselective attention task                            1.333e+00
## data$taskSerial Addition/Subtraction Reasoning Tests         1.333e+00
## data$taskSet Radio Frequencies                               9.079e-15
## data$tasksimulated driving task                              9.646e-15
## data$taskSingle Digit Subtraction Memory Test                6.667e-01
## data$tasksite computation                                    1.667e+00
## data$taskSix Letter Memory Test                              1.333e+00
## data$taskSpatial Processing                                  9.263e-15
## data$tasktake air sample                                    -6.667e-01
## data$tasktake water sample                                  -6.667e-01
## data$taskTarget Detection                                   -6.667e-01
## data$taskTarget Engagement                                   7.210e-15
## data$taskTarget Identifaction                                3.333e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)   6.587e-15
## data$taskTLX Workload Scale                                  1.333e+00
## data$tasktorso mobility                                     -1.667e+00
## data$taskTOW Self-Test Routine                               6.667e-01
## data$taskTransmitting Accurate Voice Messages                6.667e-01
## data$tasktreadmill walking                                  -6.667e-01
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           3.333e-01
## data$taskvisual-motor coordination                           3.333e-01
## data$taskVisual stimuli detection                            7.962e-15
## data$taskVon Frey hair test of tactile sensitivity          -1.000e+00
## data$taskWalking task                                       -6.667e-01
## data$taskWargame Day Trials                                  1.000e+00
## data$taskWargame Night Trials                                1.333e+00
## data$taskWilkinson Four-Choice                              -1.333e+00
## as.factor(data$rater)2                                      -4.673e-02
## as.factor(data$rater)3                                       6.916e-01
##                                                             [,7]      
## (Intercept)                                                  5.171e+00
## data$taskAircraft Identified Correctly                       6.667e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          6.667e-01
## data$taskAssault Course                                      3.333e-01
## data$taskBarrier Maneuver Segments                           6.667e-01
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.380e-14
## data$taskBreak Down MEP-16 Generator                         6.667e-01
## data$taskBreakdown RATT station                             -6.667e-01
## data$taskCable Jump                                          3.333e-01
## data$taskCommunication Received                             -3.333e-01
## data$taskCommunications Transmitted                          1.659e-14
## data$taskComparison Task                                     6.667e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna            1.378e-14
## data$taskCross Country Maneuver Segments                     1.005e-14
## data$taskdepth perception                                   -3.333e-01
## data$taskDigit Recall Memory Tests                           3.333e-01
## data$taskDisassemble AT-1011 Whip Antenna                    3.333e-01
## data$taskDisassembly M901 ITV Traverse Mechanism             3.333e-01
## data$taskDragon Repair                                       1.000e+00
## data$taskDrinking H2O                                       -2.667e+00
## data$taskDual Task                                           6.667e-01
## data$taskDynamic Flexibility                                -1.667e+00
## data$taskemplace claymore                                   -6.667e-01
## data$taskEncode/Decode Reasoning Test                        6.667e-01
## data$taskErect Camoflague Net                               -3.333e-01
## data$taskEstablish RATT Station                              1.419e-14
## data$taskEvaporative Cooling during activity                -2.667e+00
## data$taskExtent Flexibility                                 -2.333e+00
## data$taskFADAC Printed Circuit Board                         2.443e-14
## data$taskfeeding                                            -1.667e+00
## data$taskFiring Rate                                         3.333e-01
## data$taskFiring with NBC gloves                              3.333e-01
## data$taskFlight maneuvers                                    1.000e+00
## data$taskFlight maneuvers at night                           1.667e+00
## data$taskGeospatial feature search task                      1.656e-14
## data$taskGrasp Stength                                      -3.333e+00
## data$taskGripping                                           -3.333e+00
## data$taskGross motor removal force task                     -3.000e+00
## data$taskhead mobility                                      -3.333e+00
## data$taskHearing                                             1.655e-14
## data$taskhygiene/waste management                           -2.000e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.897e-14
## data$taskInstall Security Equipment                         -3.333e-01
## data$taskInstall Teletypewriter Equipment                   -3.333e-01
## data$taskLogical Reasoning Test                              3.333e-01
## data$taskmake sketch                                        -3.333e-01
## data$taskManikin Spatial Test                                6.667e-01
## data$taskMemory Search                                       6.667e-01
## data$taskMessage Typing Time                                -1.000e+00
## data$taskMinnesota Manual Dexterity Test                    -3.333e-01
## data$taskMovement Precision                                 -6.667e-01
## data$taskNavigation Task                                     1.000e+00
## data$taskNight Combat Engagements                            1.000e+00
## data$taskNight Truck Driving - Line Stop                     3.333e-01
## data$taskNight Truck Driving - Reversing                     3.333e-01
## data$tasknumber comparison                                   1.468e-14
## data$taskO'Connor Manual Dexterity Test                     -1.000e+00
## data$taskObstacle course                                     3.333e-01
## data$taskObtaining Primers                                  -1.667e+00
## data$taskOperate MEP-16 Generator                            1.319e-14
## data$taskOperate TSEC/KY-7 Security Equipment                1.598e-14
## data$taskpattern recognition                                 6.667e-01
## data$taskpencil and paper addition                           6.667e-01
## data$taskPerdue Pegboard Manual Dexterity Test               1.572e-14
## data$taskphotograph target                                   3.333e-01
## data$taskPin and Washer Manual Dexterity Test                2.195e-14
## data$taskplotting concurrent with radio messages             1.000e+00
## data$taskPost-Activity Comfort Scale (1-5)                  -6.667e-01
## data$taskPre-Takeoff Checks                                  6.667e-01
## data$taskPrepare MEP-16 Generator for Operation              3.333e-01
## data$taskReassembly M901 ITV Traverse Mechanism             -6.667e-01
## data$taskRecovery of M60A3 Tank                             -3.333e-01
## data$taskrepair M60 Machine Gun                              1.405e-14
## data$taskrhyme test  (speech intelligibility)                3.333e-01
## data$taskRifle firing-accuracy                               6.667e-01
## data$taskRoad March Maneuver Segments                       -1.000e+00
## data$taskroute reconnaissance                                6.667e-01
## data$taskrunning                                            -6.667e-01
## data$taskSearch performance task                             1.437e-14
## data$taskselective attention task                            3.333e-01
## data$taskSerial Addition/Subtraction Reasoning Tests         1.333e+00
## data$taskSet Radio Frequencies                               1.569e-14
## data$tasksimulated driving task                              1.000e+00
## data$taskSingle Digit Subtraction Memory Test                6.667e-01
## data$tasksite computation                                    1.667e+00
## data$taskSix Letter Memory Test                              6.667e-01
## data$taskSpatial Processing                                  3.333e-01
## data$tasktake air sample                                    -6.667e-01
## data$tasktake water sample                                  -6.667e-01
## data$taskTarget Detection                                    1.383e-14
## data$taskTarget Engagement                                   1.333e+00
## data$taskTarget Identifaction                                1.000e+00
## data$taskTest of Reciprocal Alternation Performance (TRAP)   3.333e-01
## data$taskTLX Workload Scale                                  1.333e+00
## data$tasktorso mobility                                     -1.667e+00
## data$taskTOW Self-Test Routine                               1.534e-14
## data$taskTransmitting Accurate Voice Messages                1.408e-14
## data$tasktreadmill walking                                   1.271e-14
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           6.667e-01
## data$taskvisual-motor coordination                           1.000e+00
## data$taskVisual stimuli detection                            1.641e-14
## data$taskVon Frey hair test of tactile sensitivity           1.333e+00
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  6.667e-01
## data$taskWargame Night Trials                                1.000e+00
## data$taskWilkinson Four-Choice                               6.667e-01
## as.factor(data$rater)2                                      -2.710e-01
## as.factor(data$rater)3                                       7.570e-01
##                                                             [,8]      
## (Intercept)                                                  4.489e+00
## data$taskAircraft Identified Correctly                       3.333e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          1.000e+00
## data$taskAssault Course                                      2.267e-14
## data$taskBarrier Maneuver Segments                           6.667e-01
## data$taskBreak Down AN/MRC-138 Jeep Radio                    3.333e-01
## data$taskBreak Down MEP-16 Generator                         6.667e-01
## data$taskBreakdown RATT station                             -3.333e-01
## data$taskCable Jump                                         -6.667e-01
## data$taskCommunication Received                             -3.333e-01
## data$taskCommunications Transmitted                          1.853e-14
## data$taskComparison Task                                     3.333e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna            3.333e-01
## data$taskCross Country Maneuver Segments                    -6.667e-01
## data$taskdepth perception                                   -1.667e+00
## data$taskDigit Recall Memory Tests                           2.229e-14
## data$taskDisassemble AT-1011 Whip Antenna                    6.667e-01
## data$taskDisassembly M901 ITV Traverse Mechanism             6.667e-01
## data$taskDragon Repair                                      -3.333e-01
## data$taskDrinking H2O                                       -2.667e+00
## data$taskDual Task                                           3.333e-01
## data$taskDynamic Flexibility                                -2.000e+00
## data$taskemplace claymore                                   -3.333e-01
## data$taskEncode/Decode Reasoning Test                        6.667e-01
## data$taskErect Camoflague Net                               -3.333e-01
## data$taskEstablish RATT Station                              3.333e-01
## data$taskEvaporative Cooling during activity                -2.333e+00
## data$taskExtent Flexibility                                 -2.333e+00
## data$taskFADAC Printed Circuit Board                         3.333e-01
## data$taskfeeding                                            -2.000e+00
## data$taskFiring Rate                                         1.266e-14
## data$taskFiring with NBC gloves                              2.754e-14
## data$taskFlight maneuvers                                    6.667e-01
## data$taskFlight maneuvers at night                           1.000e+00
## data$taskGeospatial feature search task                     -1.333e+00
## data$taskGrasp Stength                                      -3.333e+00
## data$taskGripping                                           -3.333e+00
## data$taskGross motor removal force task                     -2.667e+00
## data$taskhead mobility                                      -3.333e+00
## data$taskHearing                                            -2.000e+00
## data$taskhygiene/waste management                           -1.667e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       3.333e-01
## data$taskInstall Security Equipment                         -6.667e-01
## data$taskInstall Teletypewriter Equipment                   -3.333e-01
## data$taskLogical Reasoning Test                              6.667e-01
## data$taskmake sketch                                        -6.667e-01
## data$taskManikin Spatial Test                                2.256e-14
## data$taskMemory Search                                       2.192e-14
## data$taskMessage Typing Time                                -1.667e+00
## data$taskMinnesota Manual Dexterity Test                    -1.000e+00
## data$taskMovement Precision                                 -1.667e+00
## data$taskNavigation Task                                     6.667e-01
## data$taskNight Combat Engagements                            3.333e-01
## data$taskNight Truck Driving - Line Stop                    -3.333e-01
## data$taskNight Truck Driving - Reversing                     1.596e-14
## data$tasknumber comparison                                  -1.000e+00
## data$taskO'Connor Manual Dexterity Test                     -1.667e+00
## data$taskObstacle course                                     2.068e-14
## data$taskObtaining Primers                                  -2.667e+00
## data$taskOperate MEP-16 Generator                           -3.333e-01
## data$taskOperate TSEC/KY-7 Security Equipment               -3.333e-01
## data$taskpattern recognition                                 1.781e-14
## data$taskpencil and paper addition                          -1.000e+00
## data$taskPerdue Pegboard Manual Dexterity Test              -6.667e-01
## data$taskphotograph target                                  -6.667e-01
## data$taskPin and Washer Manual Dexterity Test               -6.667e-01
## data$taskplotting concurrent with radio messages             3.333e-01
## data$taskPost-Activity Comfort Scale (1-5)                  -1.000e+00
## data$taskPre-Takeoff Checks                                  3.333e-01
## data$taskPrepare MEP-16 Generator for Operation              3.333e-01
## data$taskReassembly M901 ITV Traverse Mechanism             -1.000e+00
## data$taskRecovery of M60A3 Tank                             -1.333e+00
## data$taskrepair M60 Machine Gun                             -3.333e-01
## data$taskrhyme test  (speech intelligibility)               -1.000e+00
## data$taskRifle firing-accuracy                               3.333e-01
## data$taskRoad March Maneuver Segments                       -1.333e+00
## data$taskroute reconnaissance                                1.589e-14
## data$taskrunning                                            -1.333e+00
## data$taskSearch performance task                            -6.667e-01
## data$taskselective attention task                            1.879e-14
## data$taskSerial Addition/Subtraction Reasoning Tests         1.658e-14
## data$taskSet Radio Frequencies                              -6.667e-01
## data$tasksimulated driving task                              3.333e-01
## data$taskSingle Digit Subtraction Memory Test               -1.333e+00
## data$tasksite computation                                    1.333e+00
## data$taskSix Letter Memory Test                             -3.333e-01
## data$taskSpatial Processing                                 -6.667e-01
## data$tasktake air sample                                    -1.333e+00
## data$tasktake water sample                                  -1.333e+00
## data$taskTarget Detection                                   -3.333e-01
## data$taskTarget Engagement                                   1.000e+00
## data$taskTarget Identifaction                               -3.333e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)  -3.333e-01
## data$taskTLX Workload Scale                                  3.333e-01
## data$tasktorso mobility                                     -2.000e+00
## data$taskTOW Self-Test Routine                              -6.667e-01
## data$taskTransmitting Accurate Voice Messages               -3.333e-01
## data$tasktreadmill walking                                  -1.667e+00
## data$taskTruck Driving - Line Stop                          -3.333e-01
## data$taskTruck Driving - Reversing                           1.844e-14
## data$taskvisual-motor coordination                          -3.333e-01
## data$taskVisual stimuli detection                           -6.667e-01
## data$taskVon Frey hair test of tactile sensitivity          -1.667e+00
## data$taskWalking task                                       -1.667e+00
## data$taskWargame Day Trials                                  3.333e-01
## data$taskWargame Night Trials                                6.667e-01
## data$taskWilkinson Four-Choice                               1.891e-14
## as.factor(data$rater)2                                       4.766e-01
## as.factor(data$rater)3                                       1.056e+00

manova(model1)

## Call:
##    manova(model1)
## 
## Terms:
##                 data$task as.factor(data$rater) Residuals
## resp 1           568.2991              311.1028  322.8972
## resp 2           857.5763               33.7009  274.9657
## resp 3           431.8380               53.8879  218.7788
## resp 4           590.0997              112.5483  203.4517
## resp 5           220.8349              538.0623  194.6044
## resp 6           368.1682               36.5794  361.4206
## resp 7           349.8069               60.7539  153.9128
## resp 8           327.8380               59.8567  194.1433
## Deg. of Freedom       106                     2       212
## 
## Residual standard errors: 1.234139 1.138863 1.015862 0.9796315 0.9580945 1.305685 0.8520585 0.9569589
## Estimated effects may be unbalanced

Manova(model1)

## 
## Type II MANOVA Tests: Pillai test statistic
##                        Df test stat approx F num Df den Df    Pr(>F)    
## data$task             106    4.1512    2.157    848   1696 < 2.2e-16 ***
## as.factor(data$rater)   2    1.3278   50.869     16    412 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

anova(manova(model1))

anova(model1)

Perform a MANOVA similar to part a, but include just the cognitive dimensions R, V, LTM, WM, and ATT as dependent variables. Then, create a new model that replaces task (a categorical predictor) with the fine motor (FM.1) predictor. Looking both at the regressions of individual outcomes and the Manova, discuss whether Fine motor (FM.1) predicts an overall rated difficulty in the other tasks. Using whatever methods you feel are reasonable (e.g., anova() will compare two MANOVA models against one another), compare the model with FM.1 to the first model for part b that used just task and rater as a predictor. Based on these results discuss whether you’d prefer the more complicated model where each task is represented by its own difficulty parameter, versus the second simpler model using FM as a stand-in for difficulty.

Solution: Since the significance level of model with task is better than model with FM,Task model is chosen.

Code:

model2 <- lm(cbind(data$R.1,data$V.1,data$LTM.1,data$WM.1,data$Att.1)~data$task+as.factor(data$rater))
model2

## 
## Call:
## lm(formula = cbind(data$R.1, data$V.1, data$LTM.1, data$WM.1, 
##     data$Att.1) ~ data$task + as.factor(data$rater))
## 
## Coefficients:
##                                                             [,1]      
## (Intercept)                                                  3.545e+00
## data$taskAircraft Identified Correctly                       1.667e+00
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          1.333e+00
## data$taskAssault Course                                      3.333e-01
## data$taskBarrier Maneuver Segments                           1.000e+00
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.333e+00
## data$taskBreak Down MEP-16 Generator                         1.333e+00
## data$taskBreakdown RATT station                              1.000e+00
## data$taskCable Jump                                         -1.000e+00
## data$taskCommunication Received                              3.333e-01
## data$taskCommunications Transmitted                          6.667e-01
## data$taskComparison Task                                     1.667e+00
## data$taskConstruct and Erect AT-1011 Whip Antenna            1.000e+00
## data$taskCross Country Maneuver Segments                     1.000e+00
## data$taskdepth perception                                    3.333e-01
## data$taskDigit Recall Memory Tests                           3.333e-01
## data$taskDisassemble AT-1011 Whip Antenna                    1.000e+00
## data$taskDisassembly M901 ITV Traverse Mechanism             1.000e+00
## data$taskDragon Repair                                       1.000e+00
## data$taskDrinking H2O                                       -1.667e+00
## data$taskDual Task                                           2.000e+00
## data$taskDynamic Flexibility                                -1.333e+00
## data$taskemplace claymore                                    6.667e-01
## data$taskEncode/Decode Reasoning Test                        1.667e+00
## data$taskErect Camoflague Net                                3.333e-01
## data$taskEstablish RATT Station                              1.333e+00
## data$taskEvaporative Cooling during activity                -1.667e+00
## data$taskExtent Flexibility                                 -2.000e+00
## data$taskFADAC Printed Circuit Board                         1.333e+00
## data$taskfeeding                                            -1.000e+00
## data$taskFiring Rate                                        -1.914e-14
## data$taskFiring with NBC gloves                             -2.103e-14
## data$taskFlight maneuvers                                    1.000e+00
## data$taskFlight maneuvers at night                           1.333e+00
## data$taskGeospatial feature search task                      1.000e+00
## data$taskGrasp Stength                                      -2.333e+00
## data$taskGripping                                           -2.333e+00
## data$taskGross motor removal force task                     -2.333e+00
## data$taskhead mobility                                      -2.667e+00
## data$taskHearing                                             6.667e-01
## data$taskhygiene/waste management                           -1.000e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.333e+00
## data$taskInstall Security Equipment                          3.333e-01
## data$taskInstall Teletypewriter Equipment                    3.333e-01
## data$taskLogical Reasoning Test                              3.333e+00
## data$taskmake sketch                                        -3.333e-01
## data$taskManikin Spatial Test                                2.000e+00
## data$taskMemory Search                                       3.333e-01
## data$taskMessage Typing Time                                -1.000e+00
## data$taskMinnesota Manual Dexterity Test                     3.333e-01
## data$taskMovement Precision                                 -1.785e-14
## data$taskNavigation Task                                     6.667e-01
## data$taskNight Combat Engagements                            1.333e+00
## data$taskNight Truck Driving - Line Stop                     3.333e-01
## data$taskNight Truck Driving - Reversing                     3.333e-01
## data$tasknumber comparison                                   1.667e+00
## data$taskO'Connor Manual Dexterity Test                     -1.499e-14
## data$taskObstacle course                                     3.333e-01
## data$taskObtaining Primers                                  -1.667e+00
## data$taskOperate MEP-16 Generator                            3.333e-01
## data$taskOperate TSEC/KY-7 Security Equipment                3.333e-01
## data$taskpattern recognition                                 2.000e+00
## data$taskpencil and paper addition                           1.667e+00
## data$taskPerdue Pegboard Manual Dexterity Test               3.333e-01
## data$taskphotograph target                                   6.667e-01
## data$taskPin and Washer Manual Dexterity Test                3.333e-01
## data$taskplotting concurrent with radio messages             2.000e+00
## data$taskPost-Activity Comfort Scale (1-5)                  -2.010e-14
## data$taskPre-Takeoff Checks                                  1.333e+00
## data$taskPrepare MEP-16 Generator for Operation              1.333e+00
## data$taskReassembly M901 ITV Traverse Mechanism              3.333e-01
## data$taskRecovery of M60A3 Tank                             -1.926e-14
## data$taskrepair M60 Machine Gun                              6.667e-01
## data$taskrhyme test  (speech intelligibility)                1.333e+00
## data$taskRifle firing-accuracy                               3.333e-01
## data$taskRoad March Maneuver Segments                       -6.667e-01
## data$taskroute reconnaissance                                1.667e+00
## data$taskrunning                                            -1.333e+00
## data$taskSearch performance task                            -3.333e-01
## data$taskselective attention task                            2.000e+00
## data$taskSerial Addition/Subtraction Reasoning Tests         2.667e+00
## data$taskSet Radio Frequencies                              -6.667e-01
## data$tasksimulated driving task                             -2.147e-14
## data$taskSingle Digit Subtraction Memory Test                1.333e+00
## data$tasksite computation                                    2.333e+00
## data$taskSix Letter Memory Test                              3.333e-01
## data$taskSpatial Processing                                  1.667e+00
## data$tasktake air sample                                    -1.805e-14
## data$tasktake water sample                                  -2.067e-14
## data$taskTarget Detection                                    6.667e-01
## data$taskTarget Engagement                                   2.333e+00
## data$taskTarget Identifaction                                1.667e+00
## data$taskTest of Reciprocal Alternation Performance (TRAP)  -6.667e-01
## data$taskTLX Workload Scale                                  3.333e-01
## data$tasktorso mobility                                     -1.667e+00
## data$taskTOW Self-Test Routine                               1.000e+00
## data$taskTransmitting Accurate Voice Messages                1.333e+00
## data$tasktreadmill walking                                  -1.000e+00
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           6.667e-01
## data$taskvisual-motor coordination                           3.333e-01
## data$taskVisual stimuli detection                            1.000e+00
## data$taskVon Frey hair test of tactile sensitivity          -2.207e-14
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  1.667e+00
## data$taskWargame Night Trials                                2.000e+00
## data$taskWilkinson Four-Choice                              -2.094e-14
## as.factor(data$rater)2                                      -3.084e-01
## as.factor(data$rater)3                                       6.729e-01
##                                                             [,2]      
## (Intercept)                                                  6.474e+00
## data$taskAircraft Identified Correctly                       6.667e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          6.667e-01
## data$taskAssault Course                                     -6.923e-15
## data$taskBarrier Maneuver Segments                           3.169e-15
## data$taskBreak Down AN/MRC-138 Jeep Radio                   -3.333e-01
## data$taskBreak Down MEP-16 Generator                         3.333e-01
## data$taskBreakdown RATT station                              3.333e-01
## data$taskCable Jump                                         -2.629e-15
## data$taskCommunication Received                             -2.667e+00
## data$taskCommunications Transmitted                         -2.667e+00
## data$taskComparison Task                                    -3.333e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna           -3.333e-01
## data$taskCross Country Maneuver Segments                     3.333e-01
## data$taskdepth perception                                   -6.907e-15
## data$taskDigit Recall Memory Tests                          -3.000e+00
## data$taskDisassemble AT-1011 Whip Antenna                   -3.333e-01
## data$taskDisassembly M901 ITV Traverse Mechanism            -3.333e-01
## data$taskDragon Repair                                       6.667e-01
## data$taskDrinking H2O                                       -1.667e+00
## data$taskDual Task                                          -3.333e-01
## data$taskDynamic Flexibility                                -2.000e+00
## data$taskemplace claymore                                   -3.333e-01
## data$taskEncode/Decode Reasoning Test                       -1.333e+00
## data$taskErect Camoflague Net                               -3.333e-01
## data$taskEstablish RATT Station                             -3.333e-01
## data$taskEvaporative Cooling during activity                -2.667e+00
## data$taskExtent Flexibility                                 -3.333e+00
## data$taskFADAC Printed Circuit Board                        -3.333e-01
## data$taskfeeding                                            -1.333e+00
## data$taskFiring Rate                                         3.333e-01
## data$taskFiring with NBC gloves                              3.333e-01
## data$taskFlight maneuvers                                   -2.009e-15
## data$taskFlight maneuvers at night                          -8.105e-15
## data$taskGeospatial feature search task                      3.333e-01
## data$taskGrasp Stength                                      -3.333e+00
## data$taskGripping                                           -3.667e+00
## data$taskGross motor removal force task                     -1.667e+00
## data$taskhead mobility                                      -3.667e+00
## data$taskHearing                                            -4.667e+00
## data$taskhygiene/waste management                           -2.333e+00
## data$taskInstall AN/MRC-138 Jeep Radio                      -6.667e-01
## data$taskInstall Security Equipment                         -3.333e-01
## data$taskInstall Teletypewriter Equipment                   -3.333e-01
## data$taskLogical Reasoning Test                             -6.667e-01
## data$taskmake sketch                                         3.333e-01
## data$taskManikin Spatial Test                                3.333e-01
## data$taskMemory Search                                      -3.333e-01
## data$taskMessage Typing Time                                -1.667e+00
## data$taskMinnesota Manual Dexterity Test                    -3.333e-01
## data$taskMovement Precision                                 -1.000e+00
## data$taskNavigation Task                                     3.333e-01
## data$taskNight Combat Engagements                            3.333e-01
## data$taskNight Truck Driving - Line Stop                     6.667e-01
## data$taskNight Truck Driving - Reversing                     6.667e-01
## data$tasknumber comparison                                  -3.333e-01
## data$taskO'Connor Manual Dexterity Test                      3.333e-01
## data$taskObstacle course                                    -6.667e-01
## data$taskObtaining Primers                                  -2.667e+00
## data$taskOperate MEP-16 Generator                           -6.667e-01
## data$taskOperate TSEC/KY-7 Security Equipment               -6.667e-01
## data$taskpattern recognition                                -4.997e-15
## data$taskpencil and paper addition                          -1.000e+00
## data$taskPerdue Pegboard Manual Dexterity Test               3.333e-01
## data$taskphotograph target                                   3.333e-01
## data$taskPin and Washer Manual Dexterity Test                3.333e-01
## data$taskplotting concurrent with radio messages             3.333e-01
## data$taskPost-Activity Comfort Scale (1-5)                  -6.667e-01
## data$taskPre-Takeoff Checks                                  3.333e-01
## data$taskPrepare MEP-16 Generator for Operation             -1.035e-16
## data$taskReassembly M901 ITV Traverse Mechanism             -6.667e-01
## data$taskRecovery of M60A3 Tank                             -6.667e-01
## data$taskrepair M60 Machine Gun                             -5.830e-15
## data$taskrhyme test  (speech intelligibility)               -6.667e-01
## data$taskRifle firing-accuracy                               3.333e-01
## data$taskRoad March Maneuver Segments                       -3.333e-01
## data$taskroute reconnaissance                                3.333e-01
## data$taskrunning                                            -6.667e-01
## data$taskSearch performance task                             3.333e-01
## data$taskselective attention task                           -6.667e-01
## data$taskSerial Addition/Subtraction Reasoning Tests        -1.333e+00
## data$taskSet Radio Frequencies                              -3.333e-01
## data$tasksimulated driving task                              6.667e-01
## data$taskSingle Digit Subtraction Memory Test               -1.667e+00
## data$tasksite computation                                   -8.616e-14
## data$taskSix Letter Memory Test                             -6.667e-01
## data$taskSpatial Processing                                  6.667e-01
## data$tasktake air sample                                    -3.333e-01
## data$tasktake water sample                                  -3.333e-01
## data$taskTarget Detection                                   -6.305e-15
## data$taskTarget Engagement                                  -1.402e-16
## data$taskTarget Identifaction                                6.667e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)  -6.000e+00
## data$taskTLX Workload Scale                                  3.333e-01
## data$tasktorso mobility                                     -3.000e+00
## data$taskTOW Self-Test Routine                              -4.537e-15
## data$taskTransmitting Accurate Voice Messages               -2.000e+00
## data$tasktreadmill walking                                  -3.333e-01
## data$taskTruck Driving - Line Stop                           6.667e-01
## data$taskTruck Driving - Reversing                           6.667e-01
## data$taskvisual-motor coordination                           3.333e-01
## data$taskVisual stimuli detection                           -4.569e-15
## data$taskVon Frey hair test of tactile sensitivity          -6.000e+00
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  6.667e-01
## data$taskWargame Night Trials                                6.667e-01
## data$taskWilkinson Four-Choice                               6.667e-01
## as.factor(data$rater)2                                      -1.308e+00
## as.factor(data$rater)3                                      -1.121e-01
##                                                             [,3]      
## (Intercept)                                                  3.832e+00
## data$taskAircraft Identified Correctly                       1.000e+00
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          6.667e-01
## data$taskAssault Course                                      6.672e-15
## data$taskBarrier Maneuver Segments                          -1.316e-14
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.333e+00
## data$taskBreak Down MEP-16 Generator                         1.333e+00
## data$taskBreakdown RATT station                              1.000e+00
## data$taskCable Jump                                         -1.885e-15
## data$taskCommunication Received                             -3.333e-01
## data$taskCommunications Transmitted                         -3.333e-01
## data$taskComparison Task                                     3.333e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna            3.333e-01
## data$taskCross Country Maneuver Segments                     3.333e-01
## data$taskdepth perception                                   -8.794e-15
## data$taskDigit Recall Memory Tests                           6.667e-01
## data$taskDisassemble AT-1011 Whip Antenna                    3.333e-01
## data$taskDisassembly M901 ITV Traverse Mechanism             3.333e-01
## data$taskDragon Repair                                       3.333e-01
## data$taskDrinking H2O                                       -3.333e-01
## data$taskDual Task                                           1.333e+00
## data$taskDynamic Flexibility                                -1.333e+00
## data$taskemplace claymore                                   -6.667e-01
## data$taskEncode/Decode Reasoning Test                       -3.333e-01
## data$taskErect Camoflague Net                               -3.333e-01
## data$taskEstablish RATT Station                              3.333e-01
## data$taskEvaporative Cooling during activity                -2.667e+00
## data$taskExtent Flexibility                                 -2.333e+00
## data$taskFADAC Printed Circuit Board                        -3.333e-01
## data$taskfeeding                                            -3.333e-01
## data$taskFiring Rate                                        -7.937e-15
## data$taskFiring with NBC gloves                              3.499e-15
## data$taskFlight maneuvers                                    3.333e-01
## data$taskFlight maneuvers at night                           6.667e-01
## data$taskGeospatial feature search task                      1.904e-15
## data$taskGrasp Stength                                      -2.000e+00
## data$taskGripping                                           -2.000e+00
## data$taskGross motor removal force task                     -1.667e+00
## data$taskhead mobility                                      -2.000e+00
## data$taskHearing                                            -1.000e+00
## data$taskhygiene/waste management                           -1.333e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.000e+00
## data$taskInstall Security Equipment                         -6.667e-01
## data$taskInstall Teletypewriter Equipment                   -6.667e-01
## data$taskLogical Reasoning Test                              2.184e-15
## data$taskmake sketch                                        -3.333e-01
## data$taskManikin Spatial Test                               -1.000e+00
## data$taskMemory Search                                       6.667e-01
## data$taskMessage Typing Time                                -3.333e-01
## data$taskMinnesota Manual Dexterity Test                    -1.333e+00
## data$taskMovement Precision                                 -1.333e+00
## data$taskNavigation Task                                     6.667e-01
## data$taskNight Combat Engagements                            3.333e-01
## data$taskNight Truck Driving - Line Stop                    -4.377e-15
## data$taskNight Truck Driving - Reversing                    -2.362e-15
## data$tasknumber comparison                                  -3.333e-01
## data$taskO'Connor Manual Dexterity Test                     -1.667e+00
## data$taskObstacle course                                    -6.667e-01
## data$taskObtaining Primers                                  -1.333e+00
## data$taskOperate MEP-16 Generator                           -3.084e-15
## data$taskOperate TSEC/KY-7 Security Equipment               -6.667e-01
## data$taskpattern recognition                                -3.333e-01
## data$taskpencil and paper addition                          -5.885e-15
## data$taskPerdue Pegboard Manual Dexterity Test              -1.000e+00
## data$taskphotograph target                                  -6.674e-15
## data$taskPin and Washer Manual Dexterity Test               -1.000e+00
## data$taskplotting concurrent with radio messages             6.667e-01
## data$taskPost-Activity Comfort Scale (1-5)                  -2.365e-15
## data$taskPre-Takeoff Checks                                  6.667e-01
## data$taskPrepare MEP-16 Generator for Operation              3.333e-01
## data$taskReassembly M901 ITV Traverse Mechanism             -2.424e-15
## data$taskRecovery of M60A3 Tank                             -6.667e-01
## data$taskrepair M60 Machine Gun                             -3.333e-01
## data$taskrhyme test  (speech intelligibility)                6.667e-01
## data$taskRifle firing-accuracy                               3.333e-01
## data$taskRoad March Maneuver Segments                       -1.333e+00
## data$taskroute reconnaissance                                1.000e+00
## data$taskrunning                                            -4.995e-15
## data$taskSearch performance task                            -2.325e-15
## data$taskselective attention task                            3.333e-01
## data$taskSerial Addition/Subtraction Reasoning Tests        -5.818e-15
## data$taskSet Radio Frequencies                              -1.000e+00
## data$tasksimulated driving task                              3.333e-01
## data$taskSingle Digit Subtraction Memory Test               -4.019e-15
## data$tasksite computation                                    6.667e-01
## data$taskSix Letter Memory Test                             -3.333e-01
## data$taskSpatial Processing                                 -3.333e-01
## data$tasktake air sample                                    -6.667e-01
## data$tasktake water sample                                  -6.667e-01
## data$taskTarget Detection                                    3.333e-01
## data$taskTarget Engagement                                  -2.989e-15
## data$taskTarget Identifaction                                3.333e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)  -1.000e+00
## data$taskTLX Workload Scale                                  6.667e-01
## data$tasktorso mobility                                     -2.333e+00
## data$taskTOW Self-Test Routine                              -5.487e-15
## data$taskTransmitting Accurate Voice Messages               -3.333e-01
## data$tasktreadmill walking                                  -5.113e-15
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           3.333e-01
## data$taskvisual-motor coordination                          -3.333e-01
## data$taskVisual stimuli detection                            3.333e-01
## data$taskVon Frey hair test of tactile sensitivity          -1.333e+00
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  3.333e-01
## data$taskWargame Night Trials                                6.667e-01
## data$taskWilkinson Four-Choice                              -1.667e+00
## as.factor(data$rater)2                                      -1.589e-01
## as.factor(data$rater)3                                       2.664e+00
##                                                             [,4]      
## (Intercept)                                                  3.785e+00
## data$taskAircraft Identified Correctly                       3.333e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          1.667e+00
## data$taskAssault Course                                      3.333e-01
## data$taskBarrier Maneuver Segments                           3.333e-01
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.000e+00
## data$taskBreak Down MEP-16 Generator                         1.000e+00
## data$taskBreakdown RATT station                              1.000e+00
## data$taskCable Jump                                         -1.333e+00
## data$taskCommunication Received                              1.000e+00
## data$taskCommunications Transmitted                          1.333e+00
## data$taskComparison Task                                     1.667e+00
## data$taskConstruct and Erect AT-1011 Whip Antenna            1.667e+00
## data$taskCross Country Maneuver Segments                     6.667e-01
## data$taskdepth perception                                    5.252e-15
## data$taskDigit Recall Memory Tests                           2.000e+00
## data$taskDisassemble AT-1011 Whip Antenna                    1.000e+00
## data$taskDisassembly M901 ITV Traverse Mechanism             1.000e+00
## data$taskDragon Repair                                       1.000e+00
## data$taskDrinking H2O                                       -1.333e+00
## data$taskDual Task                                           2.333e+00
## data$taskDynamic Flexibility                                -1.000e+00
## data$taskemplace claymore                                    3.333e-01
## data$taskEncode/Decode Reasoning Test                        1.667e+00
## data$taskErect Camoflague Net                                6.667e-01
## data$taskEstablish RATT Station                              1.000e+00
## data$taskEvaporative Cooling during activity                -1.667e+00
## data$taskExtent Flexibility                                 -2.000e+00
## data$taskFADAC Printed Circuit Board                         1.000e+00
## data$taskfeeding                                            -1.000e+00
## data$taskFiring Rate                                         5.850e-15
## data$taskFiring with NBC gloves                              8.301e-15
## data$taskFlight maneuvers                                    1.333e+00
## data$taskFlight maneuvers at night                           1.667e+00
## data$taskGeospatial feature search task                     -6.667e-01
## data$taskGrasp Stength                                      -2.667e+00
## data$taskGripping                                           -2.667e+00
## data$taskGross motor removal force task                     -2.000e+00
## data$taskhead mobility                                      -2.000e+00
## data$taskHearing                                             7.329e-15
## data$taskhygiene/waste management                           -1.667e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.000e+00
## data$taskInstall Security Equipment                          6.667e-01
## data$taskInstall Teletypewriter Equipment                    1.000e+00
## data$taskLogical Reasoning Test                              1.333e+00
## data$taskmake sketch                                        -6.667e-01
## data$taskManikin Spatial Test                               -3.333e-01
## data$taskMemory Search                                       2.000e+00
## data$taskMessage Typing Time                                 3.333e-01
## data$taskMinnesota Manual Dexterity Test                     3.333e-01
## data$taskMovement Precision                                 -6.667e-01
## data$taskNavigation Task                                     6.667e-01
## data$taskNight Combat Engagements                            1.667e+00
## data$taskNight Truck Driving - Line Stop                     3.333e-01
## data$taskNight Truck Driving - Reversing                     3.333e-01
## data$tasknumber comparison                                  -3.333e-01
## data$taskO'Connor Manual Dexterity Test                     -3.333e-01
## data$taskObstacle course                                     1.538e-14
## data$taskObtaining Primers                                  -2.000e+00
## data$taskOperate MEP-16 Generator                            3.333e-01
## data$taskOperate TSEC/KY-7 Security Equipment                3.333e-01
## data$taskpattern recognition                                 1.667e+00
## data$taskpencil and paper addition                           1.064e-14
## data$taskPerdue Pegboard Manual Dexterity Test               3.333e-01
## data$taskphotograph target                                   7.260e-15
## data$taskPin and Washer Manual Dexterity Test                3.333e-01
## data$taskplotting concurrent with radio messages             1.333e+00
## data$taskPost-Activity Comfort Scale (1-5)                  -3.333e-01
## data$taskPre-Takeoff Checks                                  1.333e+00
## data$taskPrepare MEP-16 Generator for Operation              1.333e+00
## data$taskReassembly M901 ITV Traverse Mechanism              1.026e-14
## data$taskRecovery of M60A3 Tank                             -6.667e-01
## data$taskrepair M60 Machine Gun                              1.000e+00
## data$taskrhyme test  (speech intelligibility)                3.333e-01
## data$taskRifle firing-accuracy                               8.645e-15
## data$taskRoad March Maneuver Segments                       -1.333e+00
## data$taskroute reconnaissance                                6.667e-01
## data$taskrunning                                            -6.667e-01
## data$taskSearch performance task                            -6.667e-01
## data$taskselective attention task                            1.333e+00
## data$taskSerial Addition/Subtraction Reasoning Tests         1.333e+00
## data$taskSet Radio Frequencies                               9.079e-15
## data$tasksimulated driving task                              9.646e-15
## data$taskSingle Digit Subtraction Memory Test                6.667e-01
## data$tasksite computation                                    1.667e+00
## data$taskSix Letter Memory Test                              1.333e+00
## data$taskSpatial Processing                                  9.263e-15
## data$tasktake air sample                                    -6.667e-01
## data$tasktake water sample                                  -6.667e-01
## data$taskTarget Detection                                   -6.667e-01
## data$taskTarget Engagement                                   7.210e-15
## data$taskTarget Identifaction                                3.333e-01
## data$taskTest of Reciprocal Alternation Performance (TRAP)   6.587e-15
## data$taskTLX Workload Scale                                  1.333e+00
## data$tasktorso mobility                                     -1.667e+00
## data$taskTOW Self-Test Routine                               6.667e-01
## data$taskTransmitting Accurate Voice Messages                6.667e-01
## data$tasktreadmill walking                                  -6.667e-01
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           3.333e-01
## data$taskvisual-motor coordination                           3.333e-01
## data$taskVisual stimuli detection                            7.962e-15
## data$taskVon Frey hair test of tactile sensitivity          -1.000e+00
## data$taskWalking task                                       -6.667e-01
## data$taskWargame Day Trials                                  1.000e+00
## data$taskWargame Night Trials                                1.333e+00
## data$taskWilkinson Four-Choice                              -1.333e+00
## as.factor(data$rater)2                                      -4.673e-02
## as.factor(data$rater)3                                       6.916e-01
##                                                             [,5]      
## (Intercept)                                                  5.171e+00
## data$taskAircraft Identified Correctly                       6.667e-01
## data$taskAlphanumeric Visual Vigilance (ALPHA) Test          6.667e-01
## data$taskAssault Course                                      3.333e-01
## data$taskBarrier Maneuver Segments                           6.667e-01
## data$taskBreak Down AN/MRC-138 Jeep Radio                    1.380e-14
## data$taskBreak Down MEP-16 Generator                         6.667e-01
## data$taskBreakdown RATT station                             -6.667e-01
## data$taskCable Jump                                          3.333e-01
## data$taskCommunication Received                             -3.333e-01
## data$taskCommunications Transmitted                          1.659e-14
## data$taskComparison Task                                     6.667e-01
## data$taskConstruct and Erect AT-1011 Whip Antenna            1.378e-14
## data$taskCross Country Maneuver Segments                     1.005e-14
## data$taskdepth perception                                   -3.333e-01
## data$taskDigit Recall Memory Tests                           3.333e-01
## data$taskDisassemble AT-1011 Whip Antenna                    3.333e-01
## data$taskDisassembly M901 ITV Traverse Mechanism             3.333e-01
## data$taskDragon Repair                                       1.000e+00
## data$taskDrinking H2O                                       -2.667e+00
## data$taskDual Task                                           6.667e-01
## data$taskDynamic Flexibility                                -1.667e+00
## data$taskemplace claymore                                   -6.667e-01
## data$taskEncode/Decode Reasoning Test                        6.667e-01
## data$taskErect Camoflague Net                               -3.333e-01
## data$taskEstablish RATT Station                              1.419e-14
## data$taskEvaporative Cooling during activity                -2.667e+00
## data$taskExtent Flexibility                                 -2.333e+00
## data$taskFADAC Printed Circuit Board                         2.443e-14
## data$taskfeeding                                            -1.667e+00
## data$taskFiring Rate                                         3.333e-01
## data$taskFiring with NBC gloves                              3.333e-01
## data$taskFlight maneuvers                                    1.000e+00
## data$taskFlight maneuvers at night                           1.667e+00
## data$taskGeospatial feature search task                      1.656e-14
## data$taskGrasp Stength                                      -3.333e+00
## data$taskGripping                                           -3.333e+00
## data$taskGross motor removal force task                     -3.000e+00
## data$taskhead mobility                                      -3.333e+00
## data$taskHearing                                             1.655e-14
## data$taskhygiene/waste management                           -2.000e+00
## data$taskInstall AN/MRC-138 Jeep Radio                       1.897e-14
## data$taskInstall Security Equipment                         -3.333e-01
## data$taskInstall Teletypewriter Equipment                   -3.333e-01
## data$taskLogical Reasoning Test                              3.333e-01
## data$taskmake sketch                                        -3.333e-01
## data$taskManikin Spatial Test                                6.667e-01
## data$taskMemory Search                                       6.667e-01
## data$taskMessage Typing Time                                -1.000e+00
## data$taskMinnesota Manual Dexterity Test                    -3.333e-01
## data$taskMovement Precision                                 -6.667e-01
## data$taskNavigation Task                                     1.000e+00
## data$taskNight Combat Engagements                            1.000e+00
## data$taskNight Truck Driving - Line Stop                     3.333e-01
## data$taskNight Truck Driving - Reversing                     3.333e-01
## data$tasknumber comparison                                   1.468e-14
## data$taskO'Connor Manual Dexterity Test                     -1.000e+00
## data$taskObstacle course                                     3.333e-01
## data$taskObtaining Primers                                  -1.667e+00
## data$taskOperate MEP-16 Generator                            1.319e-14
## data$taskOperate TSEC/KY-7 Security Equipment                1.598e-14
## data$taskpattern recognition                                 6.667e-01
## data$taskpencil and paper addition                           6.667e-01
## data$taskPerdue Pegboard Manual Dexterity Test               1.572e-14
## data$taskphotograph target                                   3.333e-01
## data$taskPin and Washer Manual Dexterity Test                2.195e-14
## data$taskplotting concurrent with radio messages             1.000e+00
## data$taskPost-Activity Comfort Scale (1-5)                  -6.667e-01
## data$taskPre-Takeoff Checks                                  6.667e-01
## data$taskPrepare MEP-16 Generator for Operation              3.333e-01
## data$taskReassembly M901 ITV Traverse Mechanism             -6.667e-01
## data$taskRecovery of M60A3 Tank                             -3.333e-01
## data$taskrepair M60 Machine Gun                              1.405e-14
## data$taskrhyme test  (speech intelligibility)                3.333e-01
## data$taskRifle firing-accuracy                               6.667e-01
## data$taskRoad March Maneuver Segments                       -1.000e+00
## data$taskroute reconnaissance                                6.667e-01
## data$taskrunning                                            -6.667e-01
## data$taskSearch performance task                             1.437e-14
## data$taskselective attention task                            3.333e-01
## data$taskSerial Addition/Subtraction Reasoning Tests         1.333e+00
## data$taskSet Radio Frequencies                               1.569e-14
## data$tasksimulated driving task                              1.000e+00
## data$taskSingle Digit Subtraction Memory Test                6.667e-01
## data$tasksite computation                                    1.667e+00
## data$taskSix Letter Memory Test                              6.667e-01
## data$taskSpatial Processing                                  3.333e-01
## data$tasktake air sample                                    -6.667e-01
## data$tasktake water sample                                  -6.667e-01
## data$taskTarget Detection                                    1.383e-14
## data$taskTarget Engagement                                   1.333e+00
## data$taskTarget Identifaction                                1.000e+00
## data$taskTest of Reciprocal Alternation Performance (TRAP)   3.333e-01
## data$taskTLX Workload Scale                                  1.333e+00
## data$tasktorso mobility                                     -1.667e+00
## data$taskTOW Self-Test Routine                               1.534e-14
## data$taskTransmitting Accurate Voice Messages                1.408e-14
## data$tasktreadmill walking                                   1.271e-14
## data$taskTruck Driving - Line Stop                           3.333e-01
## data$taskTruck Driving - Reversing                           6.667e-01
## data$taskvisual-motor coordination                           1.000e+00
## data$taskVisual stimuli detection                            1.641e-14
## data$taskVon Frey hair test of tactile sensitivity           1.333e+00
## data$taskWalking task                                       -3.333e-01
## data$taskWargame Day Trials                                  6.667e-01
## data$taskWargame Night Trials                                1.000e+00
## data$taskWilkinson Four-Choice                               6.667e-01
## as.factor(data$rater)2                                      -2.710e-01
## as.factor(data$rater)3                                       7.570e-01

aa<-manova(model2)
aa

## Call:
##    manova(model2)
## 
## Terms:
##                 data$task as.factor(data$rater) Residuals
## resp 1           431.8380               53.8879  218.7788
## resp 2           590.0997              112.5483  203.4517
## resp 3           220.8349              538.0623  194.6044
## resp 4           368.1682               36.5794  361.4206
## resp 5           349.8069               60.7539  153.9128
## Deg. of Freedom       106                     2       212
## 
## Residual standard errors: 1.015862 0.9796315 0.9580945 1.305685 0.8520585
## Estimated effects may be unbalanced

a<-Manova(model2)
a

## 
## Type II MANOVA Tests: Pillai test statistic
##                        Df test stat approx F num Df den Df    Pr(>F)    
## data$task             106    2.4831    1.973    530   1060 < 2.2e-16 ***
## as.factor(data$rater)   2    1.0557   46.728     10    418 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

model3 <- lm(cbind(data$R.1,data$V.1,data$LTM.1,data$WM.1,data$Att.1)~data$FM.1+as.factor(data$rater))
model3

## 
## Call:
## lm(formula = cbind(data$R.1, data$V.1, data$LTM.1, data$WM.1, 
##     data$Att.1) ~ data$FM.1 + as.factor(data$rater))
## 
## Coefficients:
##                         [,1]       [,2]       [,3]       [,4]       [,5]     
## (Intercept)              3.997190   5.283002   3.587436   3.466634   5.041112
## data$FM.1                0.003004   0.142538   0.007262   0.131802   0.022173
## as.factor(data$rater)2  -0.310432  -1.404324  -0.163765  -0.135418  -0.285948
## as.factor(data$rater)3   0.670792  -0.212059   2.658461   0.599204   0.741467

bb<-manova(model3)
bb

## Call:
##    manova(model3)
## 
## Terms:
##                 data$FM.1 as.factor(data$rater) Residuals
## resp 1             0.1634               53.7347  650.6066
## resp 2            14.1410              121.4171  770.5416
## resp 3             4.6729              533.4491  415.3795
## resp 4            23.6786               32.5750  709.9146
## resp 5             1.2750               60.0357  503.1628
## Deg. of Freedom         1                     2       317
## 
## Residual standard errors: 1.432615 1.55908 1.144703 1.496489 1.259867
## Estimated effects may be unbalanced

b<-Manova(model3)
b

## 
## Type II MANOVA Tests: Pillai test statistic
##                       Df test stat approx F num Df den Df    Pr(>F)    
## data$FM.1              1   0.07097    4.782      5    313 0.0003159 ***
## as.factor(data$rater)  2   0.72102   35.403     10    628 < 2.2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

anova(aa,bb)

Problem Set 4

Sneha Nimmagadda

February 17, 2019