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multivariate poisson hidden markov models for analysis of spatial ...

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Table 6.4: The frequency <strong>of</strong> occurrence (present/ absent) <strong>of</strong> the Wild Buckwheat,<br />

Dandelion and Wild Oats<br />

Wild buckwheat Dandelion<br />

Wild Oats<br />

Count<br />

(Species 1097) (Species 1213) (Species 1509)<br />

0 0 0 34<br />

1 0 0 28<br />

0 1 0 5<br />

0 0 1 22<br />

1 1 0 7<br />

1 0 1 37<br />

0 1 1 5<br />

1 1 1 12<br />

2<br />

The likelihood ratio ( G ) test has demonstrated the most suitable model that fits the<br />

data only consists <strong>of</strong> the main effects (Table 6.5).<br />

2<br />

Table 6.5: The likelihood ratio ( G ) test <strong>for</strong> the different <strong>models</strong> <strong>of</strong> the Wild<br />

Buckwheat, Dandelion and Wild Oats counts<br />

Field #1-Effects<br />

2<br />

G df P value<br />

Y 1 +Y 2 +Y 3 +Y 1 Y 2 +Y 2 Y 3 +Y 1 Y 3 +Y 1 Y 2 Y 3 0 0 -<br />

Y 1 +Y 2 +Y 3 +Y 1 Y 2 +Y 2 Y 3 +Y 1 Y 3 0.04 1 0.8414<br />

Y 1 +Y 2 +Y 3 +Y 1 Y 2 +Y 2 Y 3 4.23 2 0.1205<br />

Y 1 +Y 2 +Y 3 + Y 2 Y 3 5.58 3 0.1341<br />

Y 1 +Y 2 +Y 3 6.49 4 0.1654<br />

Y 1 + Y 3 67.13 5

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