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Report - ICP Forests

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154 Annex<br />

Annex IV<br />

Testing statistical significance of the differences in mean plot defoliation between two<br />

years of assessment.<br />

Differences between mean plot defoliation were statistically examined for Common Sample<br />

Plots (CSPs) using the following test statistic:<br />

t =<br />

x<br />

2009<br />

s<br />

n<br />

2<br />

2009<br />

− x<br />

2008<br />

s<br />

+<br />

n<br />

2<br />

2008<br />

where x2009 − x2008<br />

is the difference in mean plot defoliation between the assessments in 2008<br />

and 2009,<br />

s -<br />

the standard deviation of these differences,<br />

n 2009 , n 20008 - number of sample trees on plots being tested.<br />

The standard deviation s is calculated as follows<br />

s =<br />

( n<br />

2009<br />

−1)<br />

s<br />

n<br />

2009<br />

+ ( n2008<br />

−1)<br />

s<br />

+ n − 2<br />

2<br />

2009<br />

2008<br />

2<br />

2008<br />

with standard deviations s , s 2009 2008<br />

derived from the defoliation scores for the years 2009 and<br />

2008 on the plots investigated.<br />

The minimal difference for qualifying a plot as having changed its mean defoliation was 5 and<br />

more. This applies to the map in Annex I-5. This additional criterion to the formal statistical test<br />

was chosen since 5 is the highest accuracy in the assessment of defoliation in the field.

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