From: FCI: an R-based algorithm for evaluating uncertainty of absolute real-time PCR quantification
Source
df
SS
MS
F.value
Regression
dfR = 1
SS R = ∑ i = 1 I J i ( y ^ i − y ¯ ¯ ) 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaee4uamLaee4uam1aaSbaaSqaaiabbkfasbqabaGccqGH9aqpdaaeWbqaaiabbQeaknaaBaaaleaacqqGPbqAaeqaaOWaaeWaaeaacuqG5bqEgaqcamaaBaaaleaacqqGPbqAaeqaaOGaeyOeI0IafeyEaKNbaeHbaebaaiaawIcacaGLPaaadaahaaWcbeqaaiabikdaYaaaaeaacqqGPbqAcqGH9aqpcqqGXaqmaeaacqqGjbqsa0GaeyyeIuoaaaa@422B@
MS R = SS R df R MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uam1aaSbaaSqaaiabbkfasbqabaGccqGH9aqpjuaGdaWcaaqaaiabbofatjabbofatnaaBaaabaGaeeOuaifabeaaaeaacqqGKbazcqqGMbGzdaWgaaqaaiabbkfasbqabaaaaaaa@38BA@
MS R s p 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqqGnbqtcqqGtbWudaWgaaqaaiabbkfasbqabaaabaGaee4Cam3aa0baaeaacqqGWbaCaeaacqqGYaGmaaaaaaaa@33EC@
Error
df E = ( I − 2 ) + ∑ i = 1 I ( J i − 1 ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeizaqMaeeOzay2aaSbaaSqaaiabbweafbqabaGccqGH9aqpdaqadaqaaiabbMeajjabgkHiTiabbkdaYaGaayjkaiaawMcaaiabgUcaRmaaqahabaWaaeWaaeaacqqGkbGsdaWgaaWcbaGaeeyAaKgabeaakiabgkHiTiabbgdaXaGaayjkaiaawMcaaaWcbaGaeeyAaKMaeyypa0JaeeymaedabaGaeeysaKeaniabggHiLdaaaa@42CA@
SS E = ∑ i = 1 I ∑ j = 1 J i ( y ij − y ^ i ) 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaee4uamLaee4uam1aaSbaaSqaaiabbweafbqabaGccqGH9aqpdaaeWbqaamaaqahabaWaaeWaaeaacqqG5bqEdaWgaaWcbaGaeeyAaKMaeeOAaOgabeaakiabgkHiTiqbbMha5zaajaWaaSbaaSqaaiabbMgaPbqabaaakiaawIcacaGLPaaadaahaaWcbeqaaiabikdaYaaaaeaacqqGQbGAcqGH9aqpcqaIXaqmaeaacqqGkbGsdaWgaaadbaGaeeyAaKgabeaaa0GaeyyeIuoaaSqaaiabbMgaPjabg2da9iabbgdaXaqaaiabbMeajbqdcqGHris5aaaa@4A56@
MS E = SS E df E MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uam1aaSbaaSqaaiabbweafbqabaGccqGH9aqpjuaGdaWcaaqaaiabbofatjabbofatnaaBaaabaGaeeyraueabeaaaeaacqqGKbazcqqGMbGzdaWgaaqaaiabbweafbqabaaaaaaa@386C@
   Lack of fit
dfL = (I – 2)
SS L = ∑ i = 1 I J i ( y ^ i − y ¯ i ) 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaee4uamLaee4uam1aaSbaaSqaaiabbYeambqabaGccqGH9aqpdaaeWbqaaiabbQeaknaaBaaaleaacqqGPbqAaeqaaaqaaiabbMgaPjabg2da9iabbgdaXaqaaiabbMeajbqdcqGHris5aOWaaeWaaeaacuqG5bqEgaqcamaaBaaaleaacqqGPbqAaeqaaOGaeyOeI0IafeyEaKNbaebadaWgaaWcbaGaeeyAaKgabeaaaOGaayjkaiaawMcaamaaCaaaleqabaGaeeOmaidaaaaa@4390@
MS L = SS L df L MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeyta0Kaee4uam1aaSbaaSqaaiabbYeambqabaGccqGH9aqpjuaGdaWcaaqaaiabbofatjabbofatnaaBaaabaGaeeitaWeabeaaaeaacqqGKbazcqqGMbGzdaWgaaqaaiabbYeambqabaaaaaaa@3896@
MS L s p 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaqcfa4aaSaaaeaacqqGnbqtcqqGtbWudaWgaaqaaiabbYeambqabaaabaGaee4Cam3aa0baaeaacqqGWbaCaeaacqqGYaGmaaaaaaaa@33E0@
   Pure error
df P = ∑ i = 1 I ( J i − 1 ) MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeizaqMaeeOzay2aaSbaaSqaaiabbcfaqbqabaGccqGH9aqpdaaeWbqaamaabmaabaGaeeOsaO0aaSbaaSqaaiabbMgaPbqabaGccqGHsislcqqGXaqmaiaawIcacaGLPaaaaSqaaiabbMgaPjabg2da9iabbgdaXaqaaiabbMeajbqdcqGHris5aaaa@3D84@
SS P = ∑ i = 1 I ∑ j = 1 J i ( y ij − y ¯ i ) 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaee4uamLaee4uam1aaSbaaSqaaiabbcfaqbqabaGccqGH9aqpdaaeWbqaamaaqahabaWaaeWaaeaacqqG5bqEdaWgaaWcbaGaeeyAaKMaeeOAaOgabeaakiabgkHiTiqbbMha5zaaraWaaSbaaSqaaiabbMgaPbqabaaakiaawIcacaGLPaaadaahaaWcbeqaaiabbkdaYaaaaeaacqqGQbGAcqGH9aqpcqqGXaqmaeaacqqGkbGsdaWgaaadbaGaeeyAaKgabeaaa0GaeyyeIuoaaSqaaiabbMgaPjabg2da9iabbgdaXaqaaiabbMeajbqdcqGHris5aaaa@4A66@
s p 2 = SS p df p MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaee4Cam3aa0baaSqaaiabbchaWbqaaiabbkdaYaaakiabg2da9KqbaoaalaaabaGaee4uamLaee4uam1aaSbaaeaacqqGWbaCaeqaaaqaaiabbsgaKjabbAgaMnaaBaaabaGaeeiCaahabeaaaaaaaa@3979@
Total corrected
df T = ( ∑ i = 1 I J i ) − 1 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaeeizaqMaeeOzay2aaSbaaSqaaiabbsfaubqabaGccqGH9aqpdaqadaqaamaaqahabaGaeeOsaO0aaSbaaSqaaiabbMgaPbqabaaabaGaeeyAaKMaeyypa0JaeeymaedabaGaeeysaKeaniabggHiLdaakiaawIcacaGLPaaacqGHsislcqaIXaqmaaa@3D88@
SS T = ∑ i = 1 I ∑ j = 1 J i ( y ij − y ¯ ¯ ) 2 MathType@MTEF@5@5@+=feaagaart1ev2aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGacaGaaiaabeqaaeqabiWaaaGcbaGaee4uamLaee4uam1aaSbaaSqaaiabbsfaubqabaGccqGH9aqpdaaeWbqaamaaqahabaWaaeWaaeaacqqG5bqEdaWgaaWcbaGaeeyAaKMaeeOAaOgabeaakiabgkHiTiqbdMha5zaaryaaraaacaGLOaGaayzkaaWaaWbaaSqabeaacqqGYaGmaaaabaGaeeOAaOMaeyypa0JaeeymaedabaGaeeOsaO0aaSbaaWqaaiabbMgaPbqabaaaniabggHiLdaaleaacqqGPbqAcqGH9aqpcqqGXaqmaeaacqqGjbqsa0GaeyyeIuoaaaa@48F8@