windows-1252Format for Clark-Evans Tests NotesF  19*OHHY?rv`IQX8U t f %o\nn-dist  c*Distance to nearest neighbor for each tree;3Notes("Distance to nearest neighbor for each tree") c  @ =p @"ffffff@"ffffff@ffffff@ =p @;@ =p @"ffffff@ =p @ =p @ffffff@ffffff@:R@ffffff@ffffff@$zG@$zG@ =p @ =p @ffffff@ =p @"ffffff@ffffff@ffffff@ffffff@2Q@ffffff@ =p @ =p @ffffff@$zGarea cyArea of Region1Formula(44108)Notes("Area of Region") c  @剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀@剀n c Total Number of Points in Region@ Formula(62))Notes("Total Number of Points in Region") c  @O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@O@Olam cIntensity parameter=Formula( :n / :area)Notes("Intensity parameter") c  ?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>?W5>mu cEstimated mean under HoJFormula(1 / (2 * Sqrt( :lam))) Notes("Estimated mean under Ho") c  @*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^@*%e@^sig c&Standard Deviation of nn-dist under Hor7Formula(Sqrt((4 - Pi()) / (4 * :lam * Pi() * NRow())))/Notes("Standard Deviation of nn-dist under Ho") c  ?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅?k툅s-mean cSample Mean of nn-distO$Formula(Col Mean( :Name("nn-dist")))Notes("Sample Mean of nn-dist") c  @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i @ i Z c,Standardized Sample Mean of nn-dist under Hok*Formula(( :Name("s-mean") - :mu) / :sig)5Notes("Standardized Sample Mean of nn-dist under Ho") c  %%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~%%1b~ P_Val CSR  cP-value for CSRO+Formula(2 * Normal Distribution(-Abs( :Z)))Notes("P-value for CSR") c  ? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH? xH P-Val Clust  cP-Val for Clustering HypothesisU!Formula(Normal Distribution( :Z))(Notes("P-Val for Clustering Hypothesis") c  >xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH>xH P-Val Disp c!P-Value for Uniformity HypothesisX"Formula(Normal Distribution(- :Z))*Notes("P-Value for Uniformity Hypothesis") c  ?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,x?,xS cSkellam Statistic\Formula(2 * ( :lam * Pi() * Local({j}, Summation(j = 1, NRow(), :Name("nn-dist")[j] ^ 2))))Notes("Skellam Statistic") c  @;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP@;lP chi-square cFbProbability of a value as small as S under the chi-square distribution with 2n degrees of freedom.3Formula(ChiSquare Distribution( :S, 2 * NRow(), 0))kNotes("Probability of a value as small as S under the chi-square distribution with 2n degrees of freedom.") c  ? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _? _ .05-quantile c=_.05-quantile for chi-square (point below which there is only a .05 chance under the chi-square)0Formula(ChiSquare Quantile(0.05, 2 * NRow(), 0))hNotes(".05-quantile for chi-square (point below which there is only a .05 chance under the chi-square)") c  @Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.@Fqˆ.