dakvirvebisa Tu eqsperimentebis Sedegad miRebuli ricxobrivi monacemebis adeqvaturi Sefaseba mxolod statistikuri analiziT xerxdeba. mTavari, rac am dros dgindeba, aris monacemTa sarwmunoeba. magram xSirad SerCeviTi anaTvlebis raodenoba arasakmarisia or sidides Soris gansxvavebis sarwmunoebis dasadastureblad. am SemTxvevaSi nulovani hipoTezis uaryofisaTvis, damatebiTi cdebis Catarebaa saWiro. SesaZlebelia moxdes isec, rom monacemTa sarwmunoebis miuxedavad, saWiroeba moiTxovs am sarwmunoebis kidev ufro gazrdas. am SemTxvevaSic damatebiTi eqsperimentebis Catarebis aucileblobis winaSe vdgebiT.

literaturaSi mravlad aris monacemebi sxvadasxva organizmze erTi da igive paTologiuri agentisa Tu farmakologiuri preparatis moqmedebis Sesaxeb. Tanac, rogorc wesi, monacemTa nawili, eqsperimentebis arasakmarisi raodenobis gamo arasarwmunoa. albaT kargi iqneboda am monacemTa erT variaciul rigSi gaerTianeba, rac gazrdida monacemTa bazas. rac ufro gaadvilebda parametris sarwunoebaze saubars. magram radganac zogjer saqme gvaqvs sxvadasxva saxeobis organizmebTan, romlebic garda saxeobrivi specifikurobisa, xasiaTdebian agreTve, Sesaswavli parametrebis xSirad mkveTrad gansxvavebuli sidideebiT, amitom am amocanis gadawvetac SeuZlebeli xdeba. rasakvirvelia, absurdulia erT variaciul rigSi davajgufoT, vTqvaT Tagvebisa da ZaRlebis sakontrolo Tu sacdeli jgufis monacemebi.

Cveni mcdeloba mdgomareobs imaSi, rom SevimuSaoT meTodi romelic zemoaRniSnul orive situaciaSi da saerTod msgavs mdgomareobeSi, nawilobriv mainc gadawyvetda, statistikuri saimedoobisa da reprezentatiulobis problemas.

davuSvaT, gvaqvs monacemebi sxvadasxva organizmebSi (aRvniSnoT TiToeuli aseTi erTgvarovani jgufi rogorc , ...), romelime erTi da imave paTogenuri agentis an farmakologiuri preparatis moqmedebis Sesaxeb, romelic iwvevs mocemuli parametis kontrolTan SedarebiT arasarwmuno cvlilebebs. Cven gveZleva saSualeba, TiToeul am jgufSi CavataroT damatebiTi eqsperimentuli gamokvlevebi, imis gasagebad, marTla WeSmaritia Tu ara nulovani hipoTeza, Tu statistikuri arasarwmunoobis faqti monacemTa simciris Sedegia. magram SegviZlia moviqceT sxvanairadac. kerZoT, erTad davajgufod erTi da imave parametris cvlilebebis monacemebi, e.i. , ... damoukidebeli jgufebis nacvlad Semqmnad erTi jgufi, romelic iseve rogorc , ... Sedgeba sacdeli da sakontrolo cxovelebis qvejgufebidan. am dros upirveles yovlisa, unda gadavwyvitoT sakiTxi monacemTa gaerTianebis principuli SesaZleblobis an SeuZleblobis Sesaxeb. nebismieri aseTi analizi albaT unda emyarebodes jansaR azrsa da zogadbiologiur kanonzomierebs. rasakvirvelia Tuki aRniSnuli monacemebi miekuTvnebian principulad gansxvavebul sistemebs da maTi gaerTianeba erT jgufSi SeuZlebelia, am SemTxvevaSi unda daviviwyoT am meTodis Sesaxeb. sxva SemTxvevaSi Cveni midgoma aSkarad daexmareba mkvlevarebs maT winaSe arsebuli problemebis daZlevaSi.

magram radganac monacemebi ricxobrivad erTmaneTisagan mniSvnelovnad gansxvavebul sidideebs warmoadgenen, maSin maTi ganlageba erT variaciul rigSi SeuZlebelia. maSasadame Cvens mier Seqmnil sakontrolo sidideebis gaerTianebul variaciul rigSi unda moxvdes sidide, romelic warmoadgen sakontrolo qvejgufebis yoveli anaTvalis Sefardebas amave qvejgufis saSualo ariTmetikulTan. e.i. /; sadac - , ... jgufebis sakontrolo qvejgufebSi Semavali wevria; -ki Sesabamisi qvejgufis wevrebis saSualo ariTmetikuli. n – jgufis nomeri (anu is Tu romeli sawyisi jgufis wevria). k-miuTiTebs imaze, rom igi sakontrolo jgufis sididea.

sacdeli sidideebis gaerTianebul variaciuli rigSi unda gavaerTianoT sidideebi, romlebic warmoadgenen sacdeli qvejgufebis yoveli anaTvalis Sefardebas amave qvejgufis saSualo ariTmetikulTan. e.i. /;sadac - , ... jgufebis sacdel qvejgufebSi Semavali wevria; ki Sesabamisi qvejgufis wevrTa saSualo ariTmetikuli.

rasakvirvelia SesaZlebelia saSualo ariTmetikulis nacvlad nebismieri sxva saSualo maxasiaTeblis gamoyeneba da masze igive operaciebis Catareba. magram am SemTxvevaSi Cven ganvixilavT, mxolod saSualo ariTmetikulebs.

warmovidginoT jgufis sacdeli qvejgufi Semdegi variaciuli rigis saxiT:

aseve jgufis sacdeli qvejgufi:

aseve jgufis sacdeli qvejgufi:

Cveni meTodi moiTxovs , ... jgufebis sacdeli qvejgufebisagan gakeTdes erTi gaerTianebuli qvejgufi romlis Semadgeneli wevrebi iqnebian:

sadac aRniSnulia / ; =/ ; = /; =/; =/; =/; =/; =/; =/;

aseve warmovidginoT jgufis sakontrolo qvejgufi Semdegi variaciuli rigis saxiT:

aseve jgufis sakontrolo qvejgufi:

xolo jgufis sakontrolo qvejgufi:

Cveni meTodi moiTxovs , ... jgufebis sakontrolo qvejgufebisagan gakeTdes erTi gaerTianebuli qvejgufi romlis Semadgeneli wevrebi iqnebian:

sadac aRniSnulia / ; =/; = /; =/; =/; =/; =/; =/; =/

masalis statistikuri damuSavebisas da sidideebze SeiZleba igive operaciebis Catareba, rasac Cveulebriv da sidideebze atareben.

arsebuli monacemebis, Cveni meTodiT damuSavebis Sedegad, Tu miviReT, rom statistikurad sarwmuno gansxvaveba sakontrolo da sacdel jgufebs Soris, amis Semdeg aucilebelia davrwmundeT, rom es Sedegebi samarTliania TiToeuli ; ... jgufisaTvis da ara marto yvelasTvis erTad. amisaTvis aucilebelia davadginoT sarwmunoa Tu ara gansxvaveba ; ... an ;... an ;...… calkeul variaciul rigsa da sacdeli organizmebis ; …; ;...; ;... gaerTianebul variaciuli rigs Soris. aseve unda moviqceT sakontrolo jgufebis SemTxvevaSic.

Tuki gansxvaveba, erTis mxriv nebismier ;... da ; ... jgufsa da meores mxriv, Sesabamisad sacdeli da sakontrolo sidideebis gaerTianebul variaciuli rigs Soris sarwmunoa, maSasadame statistikurad sarwmunoa gansxvaveba nebismier Sesabamis ;... da ; ... jgufebs Soris!

aucilebelia aqve aRiniSnos, radganac aseT gaerTianebas aqvs adgili, amdenad yvela masSi Semavali jgufis maxasiaTebeli sidideebi, cal-calke normaluri ganawilebis kanons, rom emorCilebodnen kidec, SeerTebis SemTxvevaSi maTi ganacileba ukve gansxvavebuli iqneba. amitom maTi damuSaveba mxolod araparametruli meTodebiTaa SesaZlebeli.

gasaanalizebeli masalis heterogenurobis gamo, umjobesia Tavi avaridoT im meTodebs, romlebic erTmaneTTan SekavSirebuli SerCeviTi erTobliobebis Sesafaseblad gamoiyeneba da vixmaroT kriteriumebi, romelTa saSualebiT damoukidebeli SerCeviTi erTobliobebis Sefasebas awarmoeben. maTgan mosaxerxebelia, rogorc saSualo tendenciebis, aseve ganawilebis funqciis sakvlevi meTodebis gamoyeneba [1]. ganawilebis funqciis sakvlevis meTodebis gamoyeneba aqtualoba izrdeba Cvens SemTxvevaSi, radganac saqme gvaqvs farmakopreparatebis sxvadasxva koncentraciis moqmedebasTan, maT ki ZaluZT erT SemTxvevaSi parametris sididis gazrda, meoreSi ki Semcireba. MmaSasadame, sakontrolo da sacdel jgufebis saSualo sidideebi erTmaneTisagan SeiZleba ar gansxvavdebodnen. aseT SemTxvevaSi aucilebelia sidideTa ganawilebaSi cvlilebis dafiqsireba [2].

Cvens mier gardaqmnili gaerTianebuli variaciuli mrudis kvleva, efeqturi iqneba agreTve, mravalfaqtoriani dispersiuli analizis meTodebiT, radganac misi gamoyeneba SeiZleba wiladebisagan Semdgari mrudebis analizisaTvis. Tumca cnobilia, rom dispersiuli analizi adeqvaturia, roca variaciuli rigis ganawileba emorCileba normalur kanons an sakmaod ar ixreba misgan [3]. arada Cvens variaciul mruds, rogorc wesi eqneba normalurisagan mkveTrad gansxvavebuli saxe, vinaidan igi warmoadgens sxvadasxva variaciuli rigebis gaerTianebis Sedegs. miuxedavad amisa Cven vTvliT, rom mainc SegviZlia dispersiuli analizis gamoyeneba. amis safuZvels gvaZlevs Semdegi mosazrebebi.

dispersiuli analizis dros, erTiani statistikuri kompleqsi iSleba Semadgenel nawilebad (komponentebad), romelTa erTmaneTTan Sedareba gveubneba, Tu ra wili aqvs mocemuli niSnis varirebaSi sxvadasxva regulirebad da araregulirebad faqtorebs [4]. gamomidinare aqedan, SeiZleba vTqvaT, rom saubaria erTiani statistikuri kompleqsis Sesabamisobaze normalur ganawilebisadmi. magram amave dros, literaturaSi aRniSnulia, rom radgan ramdeni tipis zemoqmedebacaa (doza, mdgomareoba, xarisxi), imdenive generaluri erTobliobaa, romelTa SerCevebi Seadgenen dispersiuli kompleqsis gradacias. maSasadame SeiZleba davaskvnaT, rom normalur ganawilebasTan met-naklebi siaxlove, mTlianad erTiani statistikuri kompleqsisTvis ki ar unda iyos damaxasiaTebeli (rogorc es literaturaSia aRniSnuli), aramed mxolod misi Semadgeneli komponentebisaTvis.

maSasadame dispersiuli analizi SeiZleba gamoyenebul iqnas Cveni meTodiT gardaqmnili sidideebis SefasebisaTvis, radganac gaerTianebuli variaciuli rigi, rogorc wesi Sors iqneba normaluri ganawilebisagan, xolo calkeuli variaciuli rigebi, romelTa safuZvelzec igi Seiqmna, am ganawilebisagan arc Tu ise iqnebian daSorebulni.

dasasruls SevniSnavT, rom Cveni meTodi iZleva saSualebas faqtobrivi masalis deficitisas da monacemTa mcire masivebis SemTxvevaSi gavakeTod garkveuli, miaxloebiTi daskvnebi mainc.

literatura:

2.Шеффе Г. Дисперсионный анализ. М., Физматгиз, 1963.

3.Лакин Г.Ф. Биометрия, М., "Высш. Шк.", 1990. 352с.

4. Плохинский Н.А. Дисперсионный анализ силы влияний// Новое в биометрии. М., Изд. Московского Университета, 1970. с. 31-67