Sample size
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(New page: The sample size is the number of samples drawn from a defined sample frame based on a certain Lecturenotes:Inventory design. Sample size calculation is an ...) |
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The sample size is the number of samples drawn from a defined [[Lecturenotes:Population|sample frame]] based on a certain [[Lecturenotes:Inventory design|Inventory design]]. Sample size calculation is an important reqirement in forest inventory as it directly affects the cots of the sampling exersise as well as the [[Lecturenotes:Confidence interval|Confidence interval]] for the derived estimations (Kleinn 2007<ref name="kleinn2007">Kleinn, C. 2007. Lecture Notes for the Teaching Module Forest Inventory. Department of Forest Inventory and Remote Sensing. Fakulty of Forest Science and Forest Ecology, Georg-August-Universität Göttingen. 164 S.</ref>). | The sample size is the number of samples drawn from a defined [[Lecturenotes:Population|sample frame]] based on a certain [[Lecturenotes:Inventory design|Inventory design]]. Sample size calculation is an important reqirement in forest inventory as it directly affects the cots of the sampling exersise as well as the [[Lecturenotes:Confidence interval|Confidence interval]] for the derived estimations (Kleinn 2007<ref name="kleinn2007">Kleinn, C. 2007. Lecture Notes for the Teaching Module Forest Inventory. Department of Forest Inventory and Remote Sensing. Fakulty of Forest Science and Forest Ecology, Georg-August-Universität Göttingen. 164 S.</ref>). | ||
− | The question about the reqired sample size can not be answered directly. But the question about what sample size is necessary to derive an estimation with a predetermined [[Lecturenotes:precicion|precicion]] and a defined width of the confidence interval generally can be answered, though this answer is an estimation too (de | + | The question about the reqired sample size can not be answered directly. But the question about what sample size is necessary to derive an estimation with a predetermined [[Lecturenotes:precicion|precicion]] and a defined width of the confidence interval generally can be answered, though this answer is an estimation too (de Vries 1986<ref>de Vries, P.G., 1986. Sampling Theorie for Forest Inventory. A Teach-Yourself Course. Springer. 399 p.</ref>). |
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+ | |text=It is intuivly clear that the reqired sample size must be related to some specifications (you may ask: reqired for what?). This predefined specification is the desired width of the confidence interval for the estimation. The width of this interval is determined by a defined error probability <math>\alpha</math> and a predefined ''allowable error'' (e.g. <math>\pm</math>10%). Further the [[Lecturenotes:variability|variability]] inside the population is affecting the reqired sample size that is necessary to meet the above definitions. | ||
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Revision as of 13:37, 3 December 2008
The sample size is the number of samples drawn from a defined sample frame based on a certain Inventory design. Sample size calculation is an important reqirement in forest inventory as it directly affects the cots of the sampling exersise as well as the Confidence interval for the derived estimations (Kleinn 2007[1]).
The question about the reqired sample size can not be answered directly. But the question about what sample size is necessary to derive an estimation with a predetermined precicion and a defined width of the confidence interval generally can be answered, though this answer is an estimation too (de Vries 1986[2]).
- Note:
- It is intuivly clear that the reqired sample size must be related to some specifications (you may ask: reqired for what?). This predefined specification is the desired width of the confidence interval for the estimation. The width of this interval is determined by a defined error probability \(\alpha\) and a predefined allowable error (e.g. \(\pm\)10%). Further the variability inside the population is affecting the reqired sample size that is necessary to meet the above definitions.
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