TRU Mathematics 16−−1 (1980〕
CORREIATION MATRIX OF FREE
AMINO ACIDS IN SERUM
MOtosaburo MASUYAMA G Shuichi TSUJI 〔Received May 30, 1980〕 Let x be Zog C. C being the concentration of a substance in semm and σ its standard deviation. jC The quasi−constancy of biochemical individual variabilities of the second type holds with respect to free amino acids in seru皿, plasma, cerebrospinal fluid, or breast milk [1,2,3].This suggests us that the c°「「elati°n m・t・i・%w・・1d diff・r・ignifica・tly f・・m th・u・it・m・t・ix. M〔)re precisely speaking, the correlation coefficient T..between the i_th and zg theゴーth amino acids in X is mostly positive.(i≠」〕 This sur皿ise seems to be correct, as is shown in Table l G 2. Since each sa’mple size n is・f th・・rder・f…㌃ゴ・曲・・h i・・arg・r than O.3, is si gnificantly different from zero at the level of significance or= 0.05 by the element−wise test. [[he hist°g「aJns°f・bserv・d・ゼゴ’・are gi・・n i・Figure・・品i・h・h・w・h・t 〔i〕m・・t・fth・m are p・・itiv・, whi・h is signifi・・nt by the sign t・・t,孤d (ii〕 the woman histogram is slightly shifted to the right. The formal correlation coefficient between ve.. G r.. is equal to O.49 z3n∼ zgw ’ for n= ヱ6xZ7/2= ヱ36.REFERENCES
[1] [2] [3] [4] 吻ruy珊・M・〔1978〕:o・t…nini・碗…カ・・hα・ti・ m・d・Z・. r.古.坑・α9・− Zη(ieρendenc翌 ofゐioohemioa Z an 碗τ戊iduαZ variaZ)iZities3 TRU Math.,14−2, 55−60. ぬSW輌・M・〔1980〕・∫熾尻・lu・Z bi・』屹αZ・αぬわa鋤・nd・it。 Proc.KI〔IADIS, Bxcerpta Medica, Amsterdam. 9Ztasz−oonstαney. Ma.suyama, M.(1979〕:17zmlan BiochemZoa Z lndividua Z Vαu「’iaわi Zities αnd their(9ぴαsZ−eonstαney, Se Zeeted PapePs o∫P』4. Masuyamα⊃ The Resea〕〔ch Institute of Life Insurance Welfare, Tokyo. Masuyama, M.〔1980〕:(guαst−(ヲonstcxncy of tn(iividuaZτフαrdαbi Zitiesω.ee.カ. か●θ anTino aeids in p Zαsmαs TRU Math., 16r1. 77i 78 M.MASUYAMA AND S. TSI[∫1 cqnI
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Depart皿ent of ApPlied Mathematics Science Uhiversity of Tokyo