I am using a nested model in R and the lm output shows 47 not defined because of singularities and I have no idea why. Any help on why this is happening or how to fix this problem would be very much appreciated. Below is the output I received from R. Thanks and happy holidays! Call: lm(formula = Dist ~ Treatment/SiteL/Territory) Residuals: Min 1Q Median 3Q Max -6.646 -1.443 0.080 1.440 5.613 Coefficients: (47 not defined because of singularities) Estimate Std. Error t value Pr(>|t|) (Intercept) 9.47000 1.24231 7.623 9.48e-13 *** TreatmentReference -4.05500 1.75689 -2.308 0.02201 * TreatmentSingle Tree -2.43000 2.15175 -1.129 0.26010 TreatmentTypical -2.03571 1.55732 -1.307 0.19263 TreatmentIntensive:SiteLB -2.25571 1.55732 -1.448 0.14904 TreatmentReference:SiteLB -2.25333 1.60382 -1.405 0.16156 TreatmentSingle Tree:SiteLB 0.43286 1.99213 0.217 0.82821 TreatmentTypical:SiteLB 0.64371 1.45484 0.442 0.65863 TreatmentIntensive:SiteLC -3.89000 2.15175 -1.808 0.07212 . TreatmentReference:SiteLC 0.91300 1.66673 0.548 0.58445 TreatmentSingle Tree:SiteLC -1.59800 2.07878 -0.769 0.44296 TreatmentTypical:SiteLC 0.10000 1.32809 0.075 0.94005 TreatmentIntensive:SiteLA:TerritoryQ -3.94000 1.75689 -2.243 0.02601 * TreatmentReference:SiteLA:TerritoryQ -1.61700 1.66673 -0.970 0.33313 TreatmentSingle Tree:SiteLA:TerritoryQ 0.01000 2.15175 0.005 0.99630 TreatmentTypical:SiteLA:TerritoryQ NA NA NA NA TreatmentIntensive:SiteLB:TerritoryQ NA NA NA NA TreatmentReference:SiteLB:TerritoryQ 1.59691 1.38232 1.155 0.24936 TreatmentSingle Tree:SiteLB:TerritoryQ -1.15286 1.32809 -0.868 0.38639 TreatmentTypical:SiteLB:TerritoryQ NA NA NA NA TreatmentIntensive:SiteLC:TerritoryQ NA NA NA NA TreatmentReference:SiteLC:TerritoryQ 0.74200 1.81451 0.409 0.68303 TreatmentSingle Tree:SiteLC:TerritoryQ 2.32967 1.32254 1.762 0.07967 . TreatmentTypical:SiteLC:TerritoryQ -0.37000 1.32809 -0.279 0.78084 TreatmentIntensive:SiteLA:TerritoryR NA NA NA NA TreatmentReference:SiteLA:TerritoryR 3.37500 1.66673 2.025 0.04419 * TreatmentSingle Tree:SiteLA:TerritoryR NA NA NA NA TreatmentTypical:SiteLA:TerritoryR NA NA NA NA TreatmentIntensive:SiteLB:TerritoryR NA NA NA NA TreatmentReference:SiteLB:TerritoryR NA NA NA NA TreatmentSingle Tree:SiteLB:TerritoryR NA NA NA NA TreatmentTypical:SiteLB:TerritoryR NA NA NA NA TreatmentIntensive:SiteLC:TerritoryR NA NA NA NA TreatmentReference:SiteLC:TerritoryR NA NA NA NA TreatmentSingle Tree:SiteLC:TerritoryR NA NA NA NA TreatmentTypical:SiteLC:TerritoryR NA NA NA NA TreatmentIntensive:SiteLA:TerritoryT NA NA NA NA TreatmentReference:SiteLA:TerritoryT 1.92100 1.66673 1.153 0.25046 TreatmentSingle Tree:SiteLA:TerritoryT NA NA NA NA TreatmentTypical:SiteLA:TerritoryT NA NA NA NA TreatmentIntensive:SiteLB:TerritoryT NA NA NA NA TreatmentReference:SiteLB:TerritoryT NA NA NA NA TreatmentSingle Tree:SiteLB:TerritoryT NA NA NA NA TreatmentTypical:SiteLB:TerritoryT NA NA NA NA TreatmentIntensive:SiteLC:TerritoryT NA NA NA NA TreatmentReference:SiteLC:TerritoryT NA NA NA NA TreatmentSingle Tree:SiteLC:TerritoryT NA NA NA NA TreatmentTypical:SiteLC:TerritoryT NA NA NA NA TreatmentIntensive:SiteLA:TerritoryW -3.38500 1.75689 -1.927 0.05542 . TreatmentReference:SiteLA:TerritoryW -0.28500 1.89766 -0.150 0.88077 TreatmentSingle Tree:SiteLA:TerritoryW -0.23500 1.96426 -0.120 0.90489 TreatmentTypical:SiteLA:TerritoryW NA NA NA NA TreatmentIntensive:SiteLB:TerritoryW NA NA NA NA TreatmentReference:SiteLB:TerritoryW NA NA NA NA TreatmentSingle Tree:SiteLB:TerritoryW NA NA NA NA TreatmentTypical:SiteLB:TerritoryW NA NA NA NA TreatmentIntensive:SiteLC:TerritoryW NA NA NA NA TreatmentReference:SiteLC:TerritoryW NA NA NA NA TreatmentSingle Tree:SiteLC:TerritoryW 3.33633 1.50451 2.218 0.02770 * TreatmentTypical:SiteLC:TerritoryW 0.28571 1.99213 0.143 0.88610 TreatmentIntensive:SiteLA:TerritoryX -3.17000 1.75689 -1.804 0.07267 . TreatmentReference:SiteLA:TerritoryX 2.08389 1.49307 1.396 0.16434 TreatmentSingle Tree:SiteLA:TerritoryX -0.16750 2.15175 -0.078 0.93803 TreatmentTypical:SiteLA:TerritoryX 0.81821 1.55732 0.525 0.59988 TreatmentIntensive:SiteLB:TerritoryX NA NA NA NA TreatmentReference:SiteLB:TerritoryX 0.31333 1.60382 0.195 0.84530 TreatmentSingle Tree:SiteLB:TerritoryX -0.06536 1.55732 -0.042 0.96657 TreatmentTypical:SiteLB:TerritoryX -0.57086 1.45484 -0.392 0.69519 TreatmentIntensive:SiteLC:TerritoryX 4.01800 2.07878 1.933 0.05465 . TreatmentReference:SiteLC:TerritoryX -0.25086 1.45484 -0.172 0.86327 TreatmentSingle Tree:SiteLC:TerritoryX 6.72400 1.57141 4.279 2.90e-05 *** TreatmentTypical:SiteLC:TerritoryX -0.83429 1.55732 -0.536 0.59274 TreatmentIntensive:SiteLA:TerritoryY -0.62857 1.55732 -0.404 0.68692 TreatmentReference:SiteLA:TerritoryY -0.87833 1.89766 -0.463 0.64397 TreatmentSingle Tree:SiteLA:TerritoryY -0.77200 2.07878 -0.371 0.71075 TreatmentTypical:SiteLA:TerritoryY NA NA NA NA TreatmentIntensive:SiteLB:TerritoryY NA NA NA NA TreatmentReference:SiteLB:TerritoryY 2.50583 1.60382 1.562 0.11975 TreatmentSingle Tree:SiteLB:TerritoryY 0.70048 1.38232 0.507 0.61289 TreatmentTypical:SiteLB:TerritoryY -4.80133 1.81451 -2.646 0.00878 ** TreatmentIntensive:SiteLC:TerritoryY NA NA NA NA TreatmentReference:SiteLC:TerritoryY 0.00700 1.66673 0.004 0.99665 TreatmentSingle Tree:SiteLC:TerritoryY 1.61300 2.07878 0.776 0.43870 TreatmentTypical:SiteLC:TerritoryY -3.03929 1.55732 -1.952 0.05237 . TreatmentIntensive:SiteLA:TerritoryZ NA NA NA NA TreatmentReference:SiteLA:TerritoryZ 3.84071 1.55732 2.466 0.01449 * TreatmentSingle Tree:SiteLA:TerritoryZ 0.12667 2.02868 0.062 0.95028 TreatmentTypical:SiteLA:TerritoryZ NA NA NA NA TreatmentIntensive:SiteLB:TerritoryZ NA NA NA NA TreatmentReference:SiteLB:TerritoryZ NA NA NA NA TreatmentSingle Tree:SiteLB:TerritoryZ NA NA NA NA TreatmentTypical:SiteLB:TerritoryZ NA NA NA NA TreatmentIntensive:SiteLC:TerritoryZ NA NA NA NA TreatmentReference:SiteLC:TerritoryZ NA NA NA NA TreatmentSingle Tree:SiteLC:TerritoryZ NA NA NA NA TreatmentTypical:SiteLC:TerritoryZ NA NA NA NA --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 2.485 on 202 degrees of freedom Multiple R-squared: 0.3625, Adjusted R-squared: 0.211 F-statistic: 2.393 on 48 and 202 DF, p-value: 1.317e-05 [[alternative HTML version deleted]]
On Dec 24, 2011, at 12:07 PM, Kristen Mancuso wrote:> I am using a nested model in R and the lm output shows 47 not defined > because of singularities and I have no idea why. Any help on why > this is > happening or how to fix this problem would be very much > appreciated. Below > is the output I received from R.> not defined because of singularitiesThis question should be a FAQ if it's not already: http://lmgtfy.com/?q=%22not+defined+because+of+singularities%22 -- David Winsemius, MD West Hartford, CT