首页> 外文会议>International Conference on Computational Science and Its Applications - ICCSA 2003 Pt.3 May 18-21, 2003 Montreal, Canada >Assessment of Different Link Functions for Modeling Binary Data to Derive Sound Inferences and Predictions
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Assessment of Different Link Functions for Modeling Binary Data to Derive Sound Inferences and Predictions

机译:评估不同链接函数以对二进制数据进行建模以导出声音推断和预测

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Binary data are widely used for spatial modeling and when inferences and predictions are to be derived. If a Generalized Linear Model (GLM) is applied, logit functions are often used. Here we show alternatives to the traditional logit approach using probit and the complementary log log link functions. We present a software-based approach and two methods of assessing which link function performs best for inferences and for predictions. The first decision criterion is centered around the model deviance, e.g. relevant for inferences. The second criterion is based on predicting the findings back to the training data and then using the differences between expected and predicted values for known presences and absences as an indication of the fit. As an example we use Marbled Murrelet (Brachyramphus marmoratus) nesting habitat data derived from aerial telemetry and overlaid with GIS habitat layers (DEM and Forest Cover). This data set is large and carries inherent noise due to field data and a complex landscape; therefore it well covers the extremes of the fitted link functions. It is a representative example for a situation where the selection of a link function could affect the results. Findings indicate that for our data all three link functions behave similar, but logit link functions perform better than the cloclog and probit link functions when inferences as well as predictions are the study goals.
机译:二进制数据被广泛用于空间建模以及推论和预测。如果应用通用线性模型(GLM),则通常使用logit函数。在这里,我们展示了使用probit和互补日志日志链接功能的传统logit方法的替代方法。我们提出了一种基于软件的方法和两种方法来评估哪种链接功能最能进行推理和预测。第一决策标准以模型偏差为中心,例如与推论有关。第二个标准是基于将结果预测回训练数据,然后使用已知存在和不存在的预期值和预测值之间的差异作为拟合的指标。作为示例,我们使用从航空遥测中提取并覆盖有GIS栖息地层(DEM和森林覆盖)的Marbled Murrelet(Brachyramphus marmoratus)嵌套栖息地数据。该数据集很大,并且由于现场数据和复杂的地形而带有固有噪声;因此,它很好地涵盖了已安装链接功能的极限。这是链接功能的选择可能会影响结果的一种典型示例。研究结果表明,对于我们的数据,所有三个链接函数的行为都相似,但是当推理和预测是研究目标时,logit链接函数的性能要比cloclog和probit链接函数更好。

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