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Suppose i want to build a model to predict some kind of ratio or percentage The idea is that the higher the muscle strength the higher the bone mass For example, let's say i want to predict the number of boys vs

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Girls who will attend a party, and features of the party. I want to see how muscle strength, affects bone mass and i want to take into account gender to see if it affects differently in girls and boys Whereas, the t test is appropriate test of difference between the means of two groups at a time (e.g., boys and girls)

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It is also possible to compute a series of t tests, one for each pair of means.

The specialty of your example, though, is that your design has missing cells Cell girls x boyonly school is empty, likewise cell boys x girlonly school So i recommend you to obtain the vector of predicted values and check yourself, which differences the coefficients represent. Expected girls from one couple$ {}=0.5\cdot1 + 0.25\cdot1 =0.75$ expected boys from one couple$ {}=0.25\cdot1 + 0.25\cdot2 =0.75$ 1 as i said this works for any reasonable rule that could exist in the real world

An unreasonable rule would be one in which the expected children per couple was infinite. Few weeks ago, i was listening to a howtodoscience lecture In the section which focused on appropriate statistics in articles the lecturer said I want to write code in matlab to find a characteristic scale of an image patch

I have an image patch x, i need to maximize function f(x,sigma) so that sigma is the characteristic sigma