HTW Model

Modeling

ALM

EXAM

Author

Thomas Gorman

Published

March 21, 2024

Modelling Results

Group level aggregations

Table 1: Mean model errors predicting testing data, aggregated over all participants and velocity bands. Note that Fit Method refers to how model parameters were optimized, while error values reflect mean absolute error for the 6 testing bands

Fit_Method	Model	Constant	Varied
Fit to Test Data	ALM	199.9	103.4
Fit to Test Data	EXAM	104.0	85.7
Fit to Test & Training Data	ALM	217.0	170.3
Fit to Test & Training Data	EXAM	127.9	144.9
Fit to Training Data	ALM	467.7	291.4
Fit to Training Data	EXAM	273.3	297.9

Fit_Method	Model	Constant	Varied
Fit to Test Data	ALM	297.8	2,016.0
Fit to Test Data	EXAM	53.9	184.0
Fit to Test & Training Data	ALM	57.4	132.3
Fit to Test & Training Data	EXAM	42.9	127.9
Fit to Training Data	ALM	51.8	103.5
Fit to Training Data	EXAM	51.4	107.0

Markdown subtable

Table 2: Main Caption

Fit_Method	Model	Constant	Varied
Fit to Test Data	ALM	199.9	103.4
Fit to Test Data	EXAM	104.0	85.7
Fit to Test & Training Data	ALM	217.0	170.3
Fit to Test & Training Data	EXAM	127.9	144.9
Fit to Training Data	ALM	467.7	291.4
Fit to Training Data	EXAM	273.3	297.9

: First Table {#tbl-first}

Fit_Method	Model	Constant	Varied
Fit to Test Data	ALM	297.8	2,016.0
Fit to Test Data	EXAM	53.9	184.0
Fit to Test & Training Data	ALM	57.4	132.3
Fit to Test & Training Data	EXAM	42.9	127.9
Fit to Training Data	ALM	51.8	103.5
Fit to Training Data	EXAM	51.4	107.0

: Second Table {#tbl-second}

Table 3: Mean model errors

(a) Full datasets

Fit_Method	Model	condit	mean_error
Test	ALM	Constant	199.93250
Test	ALM	Varied	103.36184
Test	EXAM	Constant	104.01000
Test	EXAM	Varied	85.67763
Test_Train	ALM	Constant	216.96875
Test_Train	ALM	Varied	170.27632
Test_Train	EXAM	Constant	127.94250
Test_Train	EXAM	Varied	144.86316
Train	ALM	Constant	467.73000
Train	ALM	Varied	291.38289
Train	EXAM	Constant	273.30000
Train	EXAM	Varied	297.91053

(b) Intersection of samples with all labels available

Fit_Method	Model	condit	mean_error
Test	ALM	Constant	297.81814
Test	ALM	Varied	2,016.00582
Test	EXAM	Constant	53.90292
Test	EXAM	Varied	184.00079
Test_Train	ALM	Constant	57.39716
Test_Train	ALM	Varied	132.32472
Test_Train	EXAM	Constant	42.92373
Test_Train	EXAM	Varied	127.90159
Train	ALM	Constant	51.77211
Train	ALM	Varied	103.47686
Train	EXAM	Constant	51.43058
Train	EXAM	Varied	107.03430

pander

Table 4: Example

(a) Cars

Fit_Method	Model	condit	mean_error
Test	ALM	Constant	297.8
Test	ALM	Varied	2016
Test	EXAM	Constant	53.9
Test	EXAM	Varied	184
Test_Train	ALM	Constant	57.4
Test_Train	ALM	Varied	132.3
Test_Train	EXAM	Constant	42.92
Test_Train	EXAM	Varied	127.9
Train	ALM	Constant	51.77
Train	ALM	Varied	103.5
Train	EXAM	Constant	51.43
Train	EXAM	Varied	107

(b) Pressure

Fit_Method	Model	condit	mean_error
Test	ALM	Constant	199.9
Test	ALM	Varied	103.4
Test	EXAM	Constant	104
Test	EXAM	Varied	85.68
Test_Train	ALM	Constant	217
Test_Train	ALM	Varied	170.3
Test_Train	EXAM	Constant	127.9
Test_Train	EXAM	Varied	144.9
Train	ALM	Constant	467.7
Train	ALM	Varied	291.4
Train	EXAM	Constant	273.3
Train	EXAM	Varied	297.9

kbl

Table 5: Conditional Means and Contrasts

(a) Conditional Means

Fit_Method	Model	condit	mean_error
Test	ALM	Constant	199.93250
Test	ALM	Varied	103.36184
Test	EXAM	Constant	104.01000
Test	EXAM	Varied	85.67763
Test_Train	ALM	Constant	216.96875
Test_Train	ALM	Varied	170.27632
Test_Train	EXAM	Constant	127.94250
Test_Train	EXAM	Varied	144.86316
Train	ALM	Constant	467.73000
Train	ALM	Varied	291.38289
Train	EXAM	Constant	273.30000
Train	EXAM	Varied	297.91053

(b) Contrasts

Fit_Method	Model	condit	mean_error
Test	ALM	Constant	297.81814
Test	ALM	Varied	2016.00582
Test	EXAM	Constant	53.90292
Test	EXAM	Varied	184.00079
Test_Train	ALM	Constant	57.39716
Test_Train	ALM	Varied	132.32472
Test_Train	EXAM	Constant	42.92373
Test_Train	EXAM	Varied	127.90159
Train	ALM	Constant	51.77211
Train	ALM	Varied	103.47686
Train	EXAM	Constant	51.43058
Train	EXAM	Varied	107.03430

gt

Table 6: Conditional Means and Contrasts

(a) Conditional Means

condit	mean_error
Test - ALM
Constant	199.93250
Varied	103.36184
Test - EXAM
Constant	104.01000
Varied	85.67763
Test_Train - ALM
Constant	216.96875
Varied	170.27632
Test_Train - EXAM
Constant	127.94250
Varied	144.86316
Train - ALM
Constant	467.73000
Varied	291.38289
Train - EXAM
Constant	273.30000
Varied	297.91053

(b) Contrasts

condit	mean_error
Test - ALM
Constant	297.81814
Varied	2016.00582
Test - EXAM
Constant	53.90292
Varied	184.00079
Test_Train - ALM
Constant	57.39716
Varied	132.32472
Test_Train - EXAM
Constant	42.92373
Varied	127.90159
Train - ALM
Constant	51.77211
Varied	103.47686
Train - EXAM
Constant	51.43058
Varied	107.03430

Markdown subtable

Table 7: Main Caption

(a) First Table

Col1	Col2	Col3
A	B	C
E	F	G
A	G	G

(b) Second Table

Col1	Col2	Col3
A	B	C
E	F	G
A	G	G

Table 8: Conditional Means and Contrasts


--------------------------------------------
 Fit_Method   Model    condit    mean_error 
------------ ------- ---------- ------------
    Test       ALM    Constant     297.8    

    Test       ALM     Varied       2016    

    Test      EXAM    Constant      53.9    

    Test      EXAM     Varied       184     

 Test_Train    ALM    Constant      57.4    

 Test_Train    ALM     Varied      132.3    

 Test_Train   EXAM    Constant     42.92    

 Test_Train   EXAM     Varied      127.9    

   Train       ALM    Constant     51.77    

   Train       ALM     Varied      103.5    

   Train      EXAM    Constant     51.43    

   Train      EXAM     Varied       107     
--------------------------------------------


--------------------------------------------
 Fit_Method   Model    condit    mean_error 
------------ ------- ---------- ------------
    Test       ALM    Constant     199.9    

    Test       ALM     Varied      103.4    

    Test      EXAM    Constant      104     

    Test      EXAM     Varied      85.68    

 Test_Train    ALM    Constant      217     

 Test_Train    ALM     Varied      170.3    

 Test_Train   EXAM    Constant     127.9    

 Test_Train   EXAM     Varied      144.9    

   Train       ALM    Constant     467.7    

   Train       ALM     Varied      291.4    

   Train      EXAM    Constant     273.3    

   Train      EXAM     Varied      297.9    
--------------------------------------------

Table 9: Conditional Means and Contrasts



+------------+-------+----------+------------+
| Fit_Method | Model |  condit  | mean_error |
+============+=======+==========+============+
|    Test    |  ALM  | Constant |   297.8    |
+------------+-------+----------+------------+
|    Test    |  ALM  |  Varied  |    2016    |
+------------+-------+----------+------------+
|    Test    | EXAM  | Constant |    53.9    |
+------------+-------+----------+------------+
|    Test    | EXAM  |  Varied  |    184     |
+------------+-------+----------+------------+
| Test_Train |  ALM  | Constant |    57.4    |
+------------+-------+----------+------------+
| Test_Train |  ALM  |  Varied  |   132.3    |
+------------+-------+----------+------------+
| Test_Train | EXAM  | Constant |   42.92    |
+------------+-------+----------+------------+
| Test_Train | EXAM  |  Varied  |   127.9    |
+------------+-------+----------+------------+
|   Train    |  ALM  | Constant |   51.77    |
+------------+-------+----------+------------+
|   Train    |  ALM  |  Varied  |   103.5    |
+------------+-------+----------+------------+
|   Train    | EXAM  | Constant |   51.43    |
+------------+-------+----------+------------+
|   Train    | EXAM  |  Varied  |    107     |
+------------+-------+----------+------------+

Table: test cap1



+------------+-------+----------+------------+
| Fit_Method | Model |  condit  | mean_error |
+============+=======+==========+============+
|    Test    |  ALM  | Constant |   199.9    |
+------------+-------+----------+------------+
|    Test    |  ALM  |  Varied  |   103.4    |
+------------+-------+----------+------------+
|    Test    | EXAM  | Constant |    104     |
+------------+-------+----------+------------+
|    Test    | EXAM  |  Varied  |   85.68    |
+------------+-------+----------+------------+
| Test_Train |  ALM  | Constant |    217     |
+------------+-------+----------+------------+
| Test_Train |  ALM  |  Varied  |   170.3    |
+------------+-------+----------+------------+
| Test_Train | EXAM  | Constant |   127.9    |
+------------+-------+----------+------------+
| Test_Train | EXAM  |  Varied  |   144.9    |
+------------+-------+----------+------------+
|   Train    |  ALM  | Constant |   467.7    |
+------------+-------+----------+------------+
|   Train    |  ALM  |  Varied  |   291.4    |
+------------+-------+----------+------------+
|   Train    | EXAM  | Constant |   273.3    |
+------------+-------+----------+------------+
|   Train    | EXAM  |  Varied  |   297.9    |
+------------+-------+----------+------------+

Table 10: Conditional Means and Contrasts



| Fit_Method | Model |  condit  | mean_error |
|:----------:|:-----:|:--------:|:----------:|
|    Test    |  ALM  | Constant |   297.8    |
|    Test    |  ALM  |  Varied  |    2016    |
|    Test    | EXAM  | Constant |    53.9    |
|    Test    | EXAM  |  Varied  |    184     |
| Test_Train |  ALM  | Constant |    57.4    |
| Test_Train |  ALM  |  Varied  |   132.3    |
| Test_Train | EXAM  | Constant |   42.92    |
| Test_Train | EXAM  |  Varied  |   127.9    |
|   Train    |  ALM  | Constant |   51.77    |
|   Train    |  ALM  |  Varied  |   103.5    |
|   Train    | EXAM  | Constant |   51.43    |
|   Train    | EXAM  |  Varied  |    107     |

Table: test cap1



| Fit_Method | Model |  condit  | mean_error |
|:----------:|:-----:|:--------:|:----------:|
|    Test    |  ALM  | Constant |   199.9    |
|    Test    |  ALM  |  Varied  |   103.4    |
|    Test    | EXAM  | Constant |    104     |
|    Test    | EXAM  |  Varied  |   85.68    |
| Test_Train |  ALM  | Constant |    217     |
| Test_Train |  ALM  |  Varied  |   170.3    |
| Test_Train | EXAM  | Constant |   127.9    |
| Test_Train | EXAM  |  Varied  |   144.9    |
|   Train    |  ALM  | Constant |   467.7    |
|   Train    |  ALM  |  Varied  |   291.4    |
|   Train    | EXAM  | Constant |   273.3    |
|   Train    | EXAM  |  Varied  |   297.9    |

Table: test cap2

Other Formats

Modelling Results

Group level aggregations

Markdown subtable

pander

kbl

gt

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