Skip to main content

Table 1 Fits of power, logarithmic and linear models for individual children in Years 1-3

From: Representational change and strategy use in children's number line estimation during the first years of primary school

Year 1
n = 13
Year 2
n = 19
Year 3
n = 19
Power Log Linear Power Log Linear Power Log Linear
1-cycle or 2-cycle β R 2 R 2 R 2 1-cycle or 2-cycle β R 2 R 2 R 2 1-cycle or 2-cycle β R 2 R 2 R 2
1 0.78 0.70 0.85 0.78 2 0.53 0.69 0.85 0.94 1 1 0.88 0.98 0.97
1 0.7 0.62 0.71 0.77 1 0.73 0.73 0.85 0.79 1 0.82 0.88 0.89 0.88
1 0.84 0.91 0.93 0.95 1 1 0.98 0.90 0.98 1 1 0.98 0.94 0.99
1 0.88 0.71 0.74 0.73 2 0.81 0.96 0.89 0.98 1 0.88 0.63 0.68 0.79
1 1 0.85 0.75 0.86 1 0.97 0.93 0.96 0.93 1 1 0.99 0.95 0.99
1 0.92 0.95 0.89 0.97 1 0.89 0.84 0.87 0.93 1 1 0.92 0.92 0.98
2 0.75 0.89 0.92 0.92 2 0.75 0.89 0.88 0.97 2 0.8 0.91 0.93 0.98
1 0.47 0.24 0.28 0.22 1 0.74 0.96 0.92 0.99 1 0.67 0.43 0.76 0.62
1 1 0.75 0.77 0.87 2 0.93 0.98 0.91 0.99 1 0.93 0.79 0.89 0.86
1 0.73 0.74 0.79 0.73 1 0.69 0.80 0.89 0.79 1 0.98 0.97 0.96 0.97
1 1 0.74 0.77 0.77 1 1 0.94 0.89 0.98 1 0.83 0.81 0.92 0.98
2 0.69 0.96 0.94 0.97 1 1 0.91 0.88 0.94 1 0.76 0.80 0.85 0.84
1 1 0.93 0.96 0.95 1 1 0.98 0.91 0.99 1 1 0.99 0.94 0.99
2 0.53 0.87 0.91 0.95 2 0.65 0.96 0.86 0.96      
      1 0.95 0.81 0.92 0.99 1 1 0.97 0.96 0.98
      2 0.96 0.97 0.94 0.99 1 0.84 0.87 0.97 0.99
      1 1 0.95 0.94 0.98 1 1 0.93 0.94 0.95
      1 1 0.97 0.87 0.90 1 0.96 0.99 0.94 0.99
      1 0.93 0.88 0.95 0.90 1 1 0.96 0.92 0.97
  1. For the power model it indicates whether a 1- or 2-cycle model was better supported by the data and the corresponding coefficient of determination (R2) and shape of the function (β). For logarithmic and linear models best supported by individual data, the R2 values are reported.