AB Tau-U Calculations with SCAN Package

Code for calculations accessible here

SAJE

Parker (2011) Version

## Tau-U
## Method:  complete 
## 
## Overall Tau-U: 
##                        Model Tau_U     se     z df        p
##                      A vs. B   NaN    Inf   NaN  0      NaN
##            A vs. B - Trend A 0.596 0.2882  2.07  0 3.85e-02
##            A vs. B + Trend B 0.894 0.0894 10.00  0 1.52e-23
##  A vs. B + Trend B - Trend A 0.733 0.2067  3.55  0 3.89e-04
## 
## $Case1
##                             kendall    k_p n pairs pos neg ties  S    D   Tau SD_S VAR_S SE_Tau
## A vs. B                       0.775 0.0809 6     9   9   0    0  9  9.0 1.000 4.58 21.00  0.509
## Trend A                       0.333 1.0000 3     3   2   1    0  1  3.0 0.333 1.91  3.67  0.638
## Trend B                       1.000 0.2963 3     3   3   0    0  3  3.0 1.000 1.91  3.67  0.638
## A vs. B - Trend A             0.596 0.1587 6    12  10   2    0  8 13.4 0.596 4.97 24.67  0.370
## A vs. B + Trend B             0.894 0.0268 6    12  12   0    0 12 13.4 0.894 4.97 24.67  0.370
## A vs. B + Trend B - Trend A   0.733 0.0603 6    15  13   2    0 11 15.0 0.733 5.32 28.33  0.355
##                                 Z      p
## A vs. B                     1.964 0.0495
## Trend A                     0.522 0.6015
## Trend B                     1.567 0.1172
## A vs. B - Trend A           1.611 0.1072
## A vs. B + Trend B           2.416 0.0157
## A vs. B + Trend B - Trend A 2.067 0.0388

Tarlow (2016) Version

This calculation is based on Kendalls Tau

## Baseline corrected tau
## 
## Auto correlation in baseline:
## tau = 0.33; p = 1 
## 
## Baseline corrected tau:
## tau = 0.77; p = 0.081 
## 
## Baseline correction not applied.

LELI

Parker (2011) Version

## Tau-U
## Method:  complete 
## 
## Overall Tau-U: 
##                        Model Tau_U    se    z df       p
##                      A vs. B   NaN   Inf  NaN  0     NaN
##            A vs. B - Trend A 0.567 0.256 2.21  0 0.02707
##            A vs. B + Trend B 0.624 0.231 2.70  0 0.00694
##  A vs. B + Trend B - Trend A 0.500 0.283 1.76  0 0.07776
## 
## $Case1
##                             kendall    k_p n pairs pos neg ties  S    D    Tau SD_S VAR_S
## A vs. B                       0.732 0.0369 8    15  15   0    0 15 15.0  1.000 6.71 45.00
## Trend A                       0.000 0.8065 5    10   5   5    0  0 10.0  0.000 4.08 16.67
## Trend B                      -0.333 0.2963 3     3   1   2    0 -1  3.0 -0.333 1.91  3.67
## A vs. B - Trend A             0.567 0.0746 8    25  20   5    0 15 26.5  0.567 7.85 61.67
## A vs. B + Trend B             0.624 0.0624 8    18  16   2    0 14 22.4  0.624 6.98 48.67
## A vs. B + Trend B - Trend A   0.500 0.1078 8    28  21   7    0 14 28.0  0.500 8.08 65.33
##                             SE_Tau      Z      p
## A vs. B                      0.447  2.236 0.0253
## Trend A                      0.408  0.000 1.0000
## Trend B                      0.638 -0.522 0.6015
## A vs. B - Trend A            0.297  1.910 0.0561
## A vs. B + Trend B            0.311  2.007 0.0448
## A vs. B + Trend B - Trend A  0.289  1.732 0.0833

Tarlow (2016) Version

## Baseline corrected tau
## 
## Auto correlation in baseline:
## tau = 0; p = 0.806 
## 
## Baseline corrected tau:
## tau = 0.73; p = 0.037 
## 
## Baseline correction not applied.

GIAD

Parker (2011) Version

## Tau-U
## Method:  complete 
## 
## Overall Tau-U: 
##                        Model Tau_U     se     z df        p
##                      A vs. B   NaN    Inf   NaN  0      NaN
##            A vs. B - Trend A 0.823 0.1318  6.25  0 4.22e-10
##            A vs. B + Trend B 0.845 0.1166  7.25  0 4.30e-13
##  A vs. B + Trend B - Trend A 0.905 0.0741 12.22  0 2.53e-34
## 
## $Case1
##                             kendall     k_p n pairs pos neg ties  S    D    Tau SD_S VAR_S
## A vs. B                       0.756 0.05183 7    12  12   0    0 12 12.0  1.000 5.66 32.00
## Trend A                      -0.667 0.08943 4     6   1   5    0 -4  6.0 -0.667 2.94  8.67
## Trend B                       1.000 0.29627 3     3   3   0    0  3  3.0  1.000 1.91  3.67
## A vs. B - Trend A             0.823 0.01866 7    18  17   1    0 16 19.4  0.823 6.38 40.67
## A vs. B + Trend B             0.845 0.01907 7    15  15   0    0 15 17.7  0.845 5.97 35.67
## A vs. B + Trend B - Trend A   0.905 0.00686 7    21  20   1    0 19 21.0  0.905 6.66 44.33
##                             SE_Tau     Z       p
## A vs. B                      0.471  2.12 0.03389
## Trend A                      0.491 -1.36 0.17423
## Trend B                      0.638  1.57 0.11719
## A vs. B - Trend A            0.328  2.51 0.01211
## A vs. B + Trend B            0.336  2.51 0.01202
## A vs. B + Trend B - Trend A  0.317  2.85 0.00432

Tarlow (2016) Version

## Baseline corrected tau
## 
## Auto correlation in baseline:
## tau = -0.67; p = 0.089 
## 
## Baseline corrected tau:
## tau = 0.76; p = 0.052 
## 
## Baseline correction not applied.

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