Appendix

Appendix - Project 1

exponential learning models fit to individual subjects

Group comparison of learning rate fits

First vs. second half of testing stage

Group Comparison for asymptote-starting performance

Relative distance and under/overshooting

Reviewer 3 Absolute versus relative distance: From a methodological standpoint, I understand the need to differentiate these two types of distance. However, from a theoretical perspective there may be some issue in differentiating these two concepts. Schema theory relies on relative (or invariant) information to inform the motor program. However, both distances would be important to an instance or exemplar representation. You may want to consider commenting on this issue.

Reviewer 2 For the same reason, the plots showing improvement during training could be due to participants learning the task, rather than fine motor skills. Although task learning and motor learning are impossible to separate cleanly, the common practice in the field is indeed to offer practice trials to reduce the task learning aspects. The authors should address this.

In addition to absolute errors (which is related to variance), the authors should also provide other measures of performance, e.g., the mean of the signed errors, so that readers have a better idea whether there was any meaningful over- or undershooting.

experiment 1 training - relative distances


=========================================================================
conditType devianceDirection      610            760            910      
-------------------------------------------------------------------------
constant       Overshoot                    311.84(307.92)               
constant      Undershoot                    188.05(163.62)               
varied         Overshoot     211.69(234.97)                360.14(322.01)
varied        Undershoot     107.35(81.21)                 244.85(196.47)
-------------------------------------------------------------------------

======================================================
conditType      610           760            910      
------------------------------------------------------
constant                 121.03(269.17)               
varied     39.91(178.12)                150.53(290.04)
------------------------------------------------------

====================================================================
conditType     610           760            835            910      
--------------------------------------------------------------------
constant   7.13(124.02) 107.02(218.49) 142.42(252.34) 122.92(282.58)
varied     3.19(96.67)   92.1(173.9)   103.84(214.4)  108.12(234.59)
--------------------------------------------------------------------

experiment 2 training - relative distances

Experiment 1 Testing - relative distances


====================================================================================================================================
conditType2         msdu_610       msdu_760       msdu_835       msdu_910      msds_610      msds_760      msds_835      msds_910   
------------------------------------------------------------------------------------------------------------------------------------
Constant Training 136.27(84.29) 191.65(112.65) 219.46(139.91) 276.75(153.09) 25.28(158.98) 50.82(217.48) 73.14(250.93) 50.76(313.77)
Varied Training   105.12(51.39)  149.37(93.4)  180.54(129.52) 198.64(137.84) 13.85(116.87) 50.59(169.59) 50.52(217.39) 49.94(237.71)
------------------------------------------------------------------------------------------------------------------------------------

=========================================================================
Condition              610           760           835           910     
-------------------------------------------------------------------------
Constant Training 25.28(158.98) 50.82(217.48) 73.14(250.93) 50.76(313.77)
Varied Training   13.85(116.87) 50.59(169.59) 50.52(217.39) 49.94(237.71)
-------------------------------------------------------------------------

Experiment 2 Testing - relative distances

Experimenet 1 - intermittent testing


======================================================================================================
Condition 610_First Half 760_First Half 910_First Half 610_Second Half 760_Second Half 910_Second Half
------------------------------------------------------------------------------------------------------
constant  206.64(82.08)  286.51(121.07) 406.93(145.2)   187.2(55.24)    238.21(95.16)  313.27(114.86) 
varied    195.68(78.58)  278.9(105.37)  318.53(134.81)  177.79(70.82)  224.98(108.04)   276.86(110.5) 
------------------------------------------------------------------------------------------------------

Training plots - Experiment 1

Not in manuscript

fit to testing performance averaged across positions

statistical tests for starting performance

ANOVA Table (type III tests)

      Effect DFn DFd    F     p p<.05   ges
1 conditType   1 206 3.04 0.083       0.015

statistical tests for asymptote

ANOVA Table (type III tests)

      Effect DFn DFd    F     p p<.05   ges
1 conditType   1 206 3.38 0.067       0.016

Appendix - Project 2 - Experiment 1

Posterior Predictive Distributions

Figure 1: Posterior Predictive distributions for Absolute Deviance. Posterior Draws in Blue, colored lines are empirical data.
Figure 2: Posterior Predictive distributions for Vx. Posterior Draws in Blue, colored lines are empirical data.

Empirical vs. Predicted

Figure 3: Bayesian Mixed Model predictions vs. Empirical Predictions - X velocity

Different Aggregations

Figure 4: E1. Distribution of Vx at Participant level
Figure 5: E1. Distribution of Vx at Trial level
Figure 6: E1. Predicted Means Per Condition and Band, and Average Marginal Effect (Constant - Varied)

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