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Table C.1.

Comparison of the theoretical PL and PW relations for BL Her models of the mathematical form Mλ = alog(P)+b for the complete set of models using linear and non-linear pulsation periods. N is the total number of models.

Band Source aNL bNL σNL NNL aL bL σL NL
Using non-linear periods Using linear periods

G Zall (Set A) -1.76±0.029 -0.263±0.01 0.262 3266 -1.747±0.03 -0.272±0.01 0.264 3266
G Zall (Set B) -1.531±0.031 -0.261±0.01 0.237 2260 -1.517±0.031 -0.268±0.01 0.239 2260
G Zall (Set C) -1.63±0.032 -0.171±0.011 0.267 2632 -1.616±0.032 -0.179±0.011 0.269 2632
G Zall (Set D) -1.49±0.033 -0.183±0.011 0.255 2122 -1.495±0.033 -0.182±0.011 0.253 2122

GBP Zall (Set A) -1.543±0.033 -0.077±0.011 0.293 3266 -1.527±0.033 -0.086±0.011 0.295 3266
GBP Zall (Set B) -1.296±0.034 -0.068±0.011 0.262 2260 -1.282±0.034 -0.074±0.011 0.263 2260
GBP Zall (Set C) -1.382±0.036 0.034±0.012 0.299 2632 -1.367±0.036 0.027±0.012 0.3 2632
GBP Zall (Set D) -1.238±0.037 0.024±0.013 0.284 2122 -1.245±0.036 0.026±0.012 0.282 2122

GRP Zall (Set A) -2.015±0.025 -0.588±0.009 0.225 3266 -2.005±0.026 -0.596±0.009 0.228 3266
GRP Zall (Set B) -1.81±0.027 -0.594±0.009 0.209 2260 -1.795±0.027 -0.601±0.009 0.21 2260
GRP Zall (Set C) -1.909±0.028 -0.523±0.01 0.231 2632 -1.896±0.028 -0.531±0.01 0.233 2632
GRP Zall (Set D) -1.779±0.029 -0.536±0.01 0.223 2122 -1.78±0.029 -0.536±0.01 0.221 2122

W(G, GBP − GRP) Zall (Set A) -2.656±0.018 -1.234±0.006 0.159 3266 -2.654±0.018 -1.242±0.006 0.162 3266
W(G, GBP − GRP) Zall (Set B) -2.507±0.021 -1.261±0.007 0.159 2260 -2.491±0.021 -1.27±0.007 0.161 2260
W(G, GBP − GRP) Zall (Set C) -2.633±0.019 -1.231±0.007 0.163 2632 -2.623±0.02 -1.239±0.007 0.166 2632
W(G, GBP − GRP) Zall (Set D) -2.517±0.021 -1.247±0.007 0.165 2122 -2.51±0.021 -1.25±0.007 0.163 2122

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