D s -optimal designs for Kozak's tree taper model |
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Authors: | Leakemariam Berhe Göran Arnoldsson |
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Institution: | 1. Wondo Genet College of Forestry and Natural Resources , Hawassa University , Awassa, Ethiopia;2. Department of Statistics , Ume? University , Ume?, Sweden |
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Abstract: | In this work, we study D s -optimal design for Kozak's tree taper model. The approximate D s -optimal designs are found invariant to tree size and hence create a ground to construct a general replication-free D s -optimal design. Even though the designs are found not to be dependent on the parameter value p of the Kozak's model, they are sensitive to the s×1 subset parameter vector values of the model. The 12 points replication-free design (with 91% efficiency) suggested in this study is believed to reduce cost and time for data collection and more importantly to precisely estimate the subset parameters of interest. |
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Keywords: | locally optimal design D s -optimal design replication-free design tree taper data Kozak model |
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