Paper on Grass

In: Science

Submitted By cruzalmighty10
Words 630
Pages 3
Experimental Design and Analysis of Variance

Review: chi square = we want to know whether a data set fits a certain distribution/independence model. We use the chi square distribution, then we check how far away the test statistic is from 0. As data set becomes farther away from what you expect to get, you get larger differences between expected model and actual model (you get a larger test statistic)

Components of ANOVA: Factor – independent variable. We want this variable to be qualitative. Classifications of the factor is called the treatments. (ex. Color of the light vs. response variable ie height of the plant. Light is qualitative, treatments are the kinds of lights such ash red, white, violet, green. In anova, the response variable must be quantitative. If not quantitative, then go back to chi square test)

When we design an experiment, the factors are controlled by you. But sometimes some factors are difficult to control, and if we want to do an experiment on that we will have to just look at observational data. Example of this kind of factor is the weather.

Regardless, usually to test whether a certain factor has an effect on a response variable, we do replication. We look at replicating the experiment on more units. The more the better. If we find differences between the growths (in the mongo seeds) we do not know if this is true for the whole population, so the more elements of sample we have the better.

Gasoline Mileage Case: Factor: Gas Type. Treatments: A B C Response Variable: Mileage (miles/gallon) -> we want to know whether the factor affects this We replicate the experiment 5 times.

Concept of Variation:
We can see a set of data in terms of its variation. Ex we look at 15 identical cars. And then we look at a certain variable, mileage. Would you expect to get the same mileage from all of those cars given that all of us did…...

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