Abstract
In this chapter, mathematical learning curve models are used to further analyse the data obtained in the experimental study. To do so, the general occurrence of learning effects is analysed briefly and the dependent variables that are suited for fitting learning curve models are selected first. Then, the actual learning curve models are introduced and fitted to the data.
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Notes
- 1.
An overview of the dependent variables measured in the experimental setup can be found in Table 4.2 on page 83. Note that for the comparison in chapter five, times per order were summed for each set. For estimating learning curves, however, the times for each individual order are used.
- 2.
The Wilcoxon signed-rank test has been used here because it can test two dependent samples of non-normal data.
- 3.
The Wright learning curve model is sometimes also referred to as the Power Model.
- 4.
The S-curve model is named after the shape of its function in a logarithmic scale, which can be described as S-shaped.
- 5.
One way to verify the results on \(balance_{i}^{L}\) is by analysing the plots of the learning curves. For example, the maximum value of 1.00 reveals that for at least one participant in group VR, the DJLC estimates all data points in sets 1–4 to lie above the observed picking times per item. In fact, Figure 6.4 on page 146 shows a corresponding curve for participant 28.
- 6.
Results can again be verified by looking at the plots of learning curves: Note, for example, that the balance of the JGLC in sets 1–4 of group RR has a minimum value of zero. A corresponding curve underestimating all observed values can indeed be found for participant 4 in Figure 6.10 on page 154.
- 7.
See also Figure 5.1 on page 105 for a graphical presentation of the approach. The only difference to the procedure in the previous chapter is that an ANOVA is not used for the comparison of learning curves.
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Knigge, JK. (2021). Analysis of Learning Curves in Virtual and Real Order Picking. In: Virtual Reality in Manual Order Picking. Springer Gabler, Wiesbaden. https://doi.org/10.1007/978-3-658-34704-8_6
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DOI: https://doi.org/10.1007/978-3-658-34704-8_6
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