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“ arsebobs sicrue, mtknari sicrue da statistika”. statistika. anu rogor aiZulo ricxvebi gamcnon yvelaferi, rac gainteresebs. nino arCvaZe. ratom aris saWiro statistika?. radganac xSirad faqtebi daujerebelia!. magaliTad, ratom rekavs yovelTvis telefoni maSin, rodesac saabazanoSi xarT?.

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Statistika

“arsebobs sicrue, mtknari sicrue da statistika”

statistika

anu

rogor aiZulo ricxvebi gamcnon

yvelaferi, rac gainteresebs

nino arCvaZe


Statistika

ratom aris saWiro statistika?

radganac xSirad faqtebi daujerebelia!

magaliTad, ratom rekavs yovelTvis telefoni maSin, rodesac saabazanoSi xarT?


Statistika

ratom gamoviyenoT statistika?

  • monacemTa analizisas mizani martivia: gakeTdes myari daskvnebi SezRuduli monacemebis analizis safuZvelze.

  • amisaTvis saWiroa 2 problemis gadaWra:

  • Sedegebis miRwevas SesaZloa xeli SeuSalos biologiuri procesebis cvalebadobam da eqsperimentis msvlelobisas daSvebulma uzustobebma;

  • adamianis gonebas warmatebiT SeuZlia modelebis moZieba, Tundac SemTxveviT monacemTa Soris.

    Cveni bunebrivi swrafvaa (gvsurs! gansakuTrebiT

    sakuTar monacemebTan muSaobisas!) davaskvnaT, rom

    gamovlenili gansxvaveba realuria da minimumamde

    daviyvanoT SemTxveviTi cdomilebebis roli.

    statistikuri midgoma gicavT aseTi Secdomisagan.


Statistika

ratom gamoviyenoT statistika?

  • statistikuri analizi aucilebelia, roca gamovlenili sxvaoba mcirea eqsperimentul uzustobebTan da biologiur variabelobasTan SedarebiT.

  • zogierTi mecnieri fiqrobs, rom aRwevs dasaxul mizans, iyenebs ra daxvewil eqsperimentul sistemas biologiuri variabelobis gareSe, minimaluri uzustobebiT;

  • maT unda icodnen:

  • Tu statistika dasWirdaT sakuTari eqsperimentis SefasebisaTvis, maTi eqsperimenti mcdaria!

  • Tu Sedegebi TvalnaTliv metyveleben? eqsperimenti warmatebiT SeiZleba gagrZeldes!


Statistika

Sedegebis adeqvaturi analizisaTvis saWiroa statistikis ZiriTadi principebis codna

statistikis ZiriTadi debulebebis gacnobisas SevecdebiT yuradReba maT praqtikul gamoyenebaze gavamaxviloT, kerZod, aqcenti gavakeToT biomecnierebebis dargSi gamoyenebul statistikur meTodebze


Statistika

  • statistikis ZiriTadi idea martivia:

  • Tqven gsurT gamoiyenoT monacemTa SedarebiT mcire raodenoba zogadi daskvnebisaTvis

  • am mizniT statistikosebma SeimuSaves martivi modeli:

  • dauSviT, rom arsebobs monacemTa didi populacia da Tqveni monacemebi (e.w. ““SerCeva”) SemTxveviTad iqna amokrebili aRniSnuli populaciidan. gaanalizeT Tqveni SerCeva da gamoiyeneT albaTobis kanonebi mTel populaciaze Sedegebis gasavrceleblad.

  • aRniSnuli modeli sifrTxiliT unda iqnas gamoyenebuli zogierT SemTxvevaSi.

  • magaliTad, xarisxis kontrolisaTvis gamiznuli SerCeva realurad SemTxveviT iqneba amokrebili didi populaciidan. klinikuri eqsperimentebi ar moicavs pacientebis SemTxveviTad SerCeul amonakrebs, magram xSirad da ara yovelTvis SesaZloa Seswavlili ESerCevis Sedegebis eqstrapolacia msgavsi tipis pacientebis ufro did populaciaze.

  • tipiur eqsperimentSi Tqven realurad ar axdenT SerCevas didi populaciidan, magram gsurT Tqveni monacemebis eqstrapolacia ufro zogadi daskvnebis gamosatanad.

  • SerCevisa da populaciis koncefciebi SeiZleba gamoiyenoT, roca gadawyvetT, rom:

  • Tqvens mier mopovebuli monacemebi aris SerCeva

  • monacemebi, romlebsac Tqven miiRebdiT eqsperimentis dausruleblad gagrZelebis SemTxvevaSi aris populacia.

  • problema is gaxlavT, rom statistikuri daskvnebi SeiZleba exebodes mxolod im populacias, romlisaganac moxda SerCeva, Tqven ki xSirad gsurT daskvnebis gamotana, romlebic vrceldeba aRniSnuli populaciis farglebs gareT.

  • magaliTisaTvis, Tqven CaatareT eqsperimenti samjer. samive SemTxvevaSi gamoiyeneT erTi da igive tipis ujredebi, igive buferi da igive xelsawyo. statistikuri daskvnebi saSualebas gaZlevT gaakeToT daskvnebi imis Taobaze, Tu ra Sedegs miiRebdiT igive resursebis (obieqti, pirobebi da xelsawyoebi) gamoyenebit cdis mravaljer ganmeorebisas.

  • albaT survili geqnebaT, gaakeToT eqstrapolacia, Tu ra Sedegebi iqneboda Tuki vinme sxva gaimeorebda eqsperiments sxva tipis ujredebze, sxva buferisa da xelsawyoebis gamoyenebiT.

  • samwuxarod statistikuri gamoTvlebi amis SesaZleblobas ar iZleva –- am sakiTxSi is Tqven ver dagexmarebaT.

  • ganzogadebisaTvis Tqven unda gamoiyenoT mecnieruli analizi da intuicia!


Sercevis mmetodi

SerCevis MmeTodi

populacia

SerCeva

statistika

Pparametri


Serceva da populacia

SerCeva da populacia

  • populacia – Seswavlis yvela obieqti, dakvirvebis yvela SesaZlo SedegTa simravle

  • SeCeva – - obieqtebis garkveuli jgufi, populaciidan analizisaTvis amorCeuli nawili

  • parametri – - axasiaTebs populacias

  • statistika – - axasiaTebs SerCevas


Statistika

monacemTa tipebi

  • cvladi – - populaciis an SerCevis maxasiaTebeli, romelic Cveni interesis sagans warmoadgens

  • monacemebi – - cvladebis dakvirvebuli mniSvnelobebi

  • raodenobrivi monacemebi – - ricxviTia

  • Tvisobrivi monacemebi - kategoriulia


Statistika

monacemTa tipebi


Statistika

raodenobrivi monacemebi

Tvisobrivi monacemebi

asaki – Semosavali

5575000

4268000

..

..

persona daojax/ an dauojaxeb.

1ki

2ara

3ki

..

..

Tvisobrivi monacemebidan

SesaZlebelia mxolod ama Tu im kategoriaSi moxvedrili

monacemebis proporciis gansazRvra

Pprofesori rangi

1lLeqtori

2sruli

3Aasistenti

..

..

wonis mateba

+10

+5

.

.

leqtori aAsistenti aAsocirebuli srulisul

15 25 5 1560

25% 41.67% 8.33% 25%


Statistika

monacemTa tipis codna aucilebelia

swori statistikuri testis SerCevisaTvis

  • zog SemTxvevaSi aseve mniSvnelovania imis codna, SesaZlebelia Tu ara monacemTa ranJireba

    calkeuli tipis monacemebisaTvis arsebobs analizis dasaSvebi forma:

  • raodenobrivi monacemebisaTvis –- ariTmetikuli gamoTvlebi

  • Tvisobrivi monacemebisaTvis – - calkeul kategoriaSi dakvirvebaTa raodenobis gansazRvra

  • ranJirebul monacemebze –- ranJirebis procesze damyarebuli gamoTvlebi


Statistika

statistikuri damuSavebis sawyis etapze, Sedegebis analizisaTvis Sesabamisi statistikuri testis SerCevis mizniT aucilebelia ganisazRvros eqsperimentuli cvladebis tipi

arsebobs eqsperimentuli cvladebis 3 tipi:

ricxviTi monacemebi:

diskretuli monacemebi

uwyveti tipis monacemebi

kategoriuli monacemebi:

nominaluri

atributuli

ordinaluri


Statistika

gazomvis 4 tipis skala (Stanley Smith Stevens, 1946)

kategoriuli

ricxviTi

nominaluri

ordinaruli, anu

ranguli

intervaluri

fardobiTi

mag. sqesi: memdr./mamr.

gazomvis susti formaa

ricxvebi gamoiyeneba

subieqtebis, obieqtebis

an Tvisebis

klasifikaciisaTvis

mag., Termometrs aqvs aTvlis wertili t-is matebis Sesafaseblad,

magram es wertili

ar miuTiTebs t-is

0 mniSvnelobaze,

mis saerTod

ararsebobaze

aqvs namdvili 0,

mag., Semosavali,

Svilebis raodenoba,

dakisrebuli

gadasaxadi

mag. mosaxleobis

social-ekonomikuri

statusi: 1-dabali,

2-saSualo, 3-maRali,

4-umaRlesi. ricxvebs

aqvT garkveuli

maTematikuri mniSvneloba –

3-Si gaerTianebuli

individebi statusiT

ufro maRla dganan,

vidre me-2 jgufSi.Y


Statistika

kategoriuli

nominaluri skala

gazomvis nominaluri skalis gamoyenebiT Sefasebuli cvladebi aris nominaluri anu kategoriuli cvladebi

ordinaruli skala

gazomvis ordinaruli skalis gamoyenebiT Sefasebuli cvladebi aseve kategoriuli cvladebia, romlebic warmodgenilia ranJirebuli saxiT (ranguli cvladebi). mag. cxenebis doRSi finiSTan misvlis Tanmimdevroba, romelic ar miuTiTebs konkretul droze (pirveli, more da a.S.), avadmyofobis stadiebi;


Statistika

nominaluri anu kategoriul cvladebi

nominalur anu kategoriul cvladebssxvanairad atributuls uwodeben. nominaluri skalis gamoyenebiT miRebuli nominaluri cvladebis calkeuli mniSvnelobebi klasificirdeba kategoriebad. isini ar warmoadgens ricxvebs. isini sityvebia. mag., sqesi (mdedrobiTi an mamrobiTi), genotipi (AA, Aa, aa), janmrTelobis mdgomareoba (avadmyofi/janmrTeli), aseve avadmyofobis tipebi, mcenareTa saxeobebi. maTze ariTmetikuli operaciebi sruli uazrobaa.

nominaluri cvladebi xSirad gamoiyeneba klasifikaciisaTvis, raTa moxdes klasebis Sedareba.

advilad dainaxavT gansxvavebas ricxviT da nominalur cvladebs Soris, Tuki warmoidgenT TiToeuli laboratoriuli dakvirvebis Sedegebs. Tu zomavT izopodebis Tavis siganes,konkretuli monacemi SeiZleba iyos 3.41 mm. cxadia, rom cvladi ricxviTia. izopodebis sqessze dakvirvebis Sedegi SeiZleba iyos mdedri an mamri - is nominaluri cvladia.

SesaZlebelia ricxviTi cvladis gadayvana nominalur cvladSi, Tuki individebs davyofT mcire zomis klasebad sazRvrebis gaTvaliswinebiT. mag. Tu Tqven swavlobT qolesterinis donesa da sisxlis wnevas Soris kavSirs, SegiZliaT gazomoT qolesterinis done (ricxviTi cvladi), Semdeg gayoT cdis pirebi 2 jgufad (qolesterinis dabali da maRali donis mqone individebi – nominaluri cvladi) da SeadaroT am jgufebis sisxlis wneva martivi statistikuri testiT


Statistika

  • ordinaruli anu ranguli cvladebi

  • ordinaruli skalis gamoyenebiT fasdeba ordinaruli cvladebi - maTi mniSvnelobebi SesaZloa ganTavdes ranJirebuli wesiT, mciredan didisaken, imis miuxedavad, cnobilia Tu ara maTi zusti mniSvnelobebi. biologiaSi isini naklebad gamoiyeneba martivi mizezisda gamo – aseTi cvladebis SefasebisaTvis gankuTvnili statistikuri testebi (e.w. ‘araparametruli testebi’) ricxviTi cvladebisaTvis gankuTvnil statistikur testebTan SedarebiT ar iZleva srulyofil informacias monacemTa Sesaxeb.

  • magaliTad, Tqven dazomeT izipodebis Sejgufebis dro da naxeT, rom maTi umetesoba gancalkevda 1-2 wuTis ganmavlobaSi. 2 izopodi, mamri, darCa jgufSi 30 wuTis ganmavlobSi.

  • Tuki monacemT analizisaTvis Tqven gamoiyenebT ricxviTi monacemebis damuSavebisaTvis gankuTvnil statistikur tests, mamri izopodebis saSualo dro aRniSnuli ori monacemis CarTvis gamo mniSvnelovnad gadaaWarbebs mdedrebisas da gansxvaveba mdedrebsa da mamrebs Soris aRmoCndeba statistikurad sarwmuno. Tuki monacemebs warmoadgenT ranJirebulad da maT daamuSavebT araparametruli wesiT, bolo da bolos wina izopodis monacemebi nakleb gavlenas moaxdens saerTo Sedegebze da Sesabamisad, ar miiRebT mcdar “sarwmuno” gansxvavebas, radganac is realurad ar arsebobs


Statistika

ricxviTi monacemebi

rogorc saxelwodeba migviTiTebs, aseTi tipis monacemebi gazomvadia da yovelTvis aqvs ricxviTi mniSvneloba. mag., sigrZe, wona, simkvrive, pH. gazomvisas maTi SesaZlo mniSvnelobebi limitirebulia sazomi xelsawyoebis sizustiT. cvladebi, romlebic ricxobrivad gamoisaxeba (mag. baqteriebis raodenoba petris jamze), cnobilia metrikuli, diskretuli cvladebis saxelwodebiT da maTi gaanalizebis meTodebi iseTivea, rogoric uwyveti tipis monacemebis (wona, sigrZe, dro, temperatura, sisxlis wneva da .aS.) SemTxvevaSi.

Tumca saWiroa garkveuli sifrTxilis gamoCena: daTvlis SemTxvevaSi xSirad saqme gvaqvs nominalur cvladTan. baqteriebis raodenoba petris jamze ricxviTi monacemia (mag., 87 kolonia erT jamze da 92 kolonia meoreze), Tumca Tu gvaqvs sxvadasxva saxis koloniebi da viTvliT TiToeuli maTganis raodenobas, saqme gvaqvs nominalur tipis monacemTan: “kolonia 1” da “kolonia 2”. aseT SemTxvevaSi SegviZlia nominaluri monacemebi gamovxatoT ricxviTi mniSvnelobiT, magram isini mainc nominalurad rCebian.

SesaZloa gazomili sidide warmoadgendes ricxviT monacems maSinac ki, rodesac maTi mniSvneloba ganisazRvreba eqsperimentatoris mier. Tuki gavzrdiT baqteriebs sxvadasxva jamze manozas gansxvavebuli koncentraciis areze, manozas koncentracia iqneba ricxviTi monacemi misi Cvens mier SerCevis SemTvevaSic ki.


Statistika

ricxviTi monacemebi

intervaluri skala

gazomvis intervaluir skalis gamoyenebiT Sefasebuli cvladebi aris intervaluri cvladebi (mag., temperatura celsiusebSi an faregeitebSi (mxolod ara kelvinebSi)). maT or mniSvnelobas Soris arsebul sxvaobas datvirTva aqvs im kuTxiT, rom mag., 1000C da 900C temperaturas Soris iseTive intervalia, rac 900C da 800C Soris.


Statistika

  • fardobiTi skala

  • fardobiTi skala xSirad gamoiyeneba biologiaSi, mag., gulis cemaTa sixSire wuTSi, anda leikociebis raodenoba sisxlis 1 mililitrSi.

  • Tuki fardobaSi monawile mniSvneli ar warmoadgens biologiuri variaciis magaliTs (am SemTxvevaSi wuTi anda mililitri), fardobiTi skalis gamoyenebiT miRebuli monacemebi SesaZloa damuSavdes rogorc ricxviTi cvladebi,

  • magram Tuki mricxvelic da mniSvnelic biologiuria, sasurvelia iseTi statistikuri testis gamoyeneba, romelic gamijnavs am or cvlads (mag., sqesi da sxeulis zoma). mag., Tuki gsurT daadginoT mamr izopodebs aqvT Tu ara ufro didi Tavi, vidre mdedrebs, albaT gayofT Tavis zomas sxeulis sigrZeze da SeadarebT am fardobas mamrebsa da mdedrebSi. Tumca, ukeTesi iqneba cvladebis gamijvna da TiToeuli maTganis regresiuli mrudis Sedareba.

  • fardobiT cvladebs iseTive Tvisebebi aqvT, rogorc intervalurs, magram damatebiT aqvT mkafiod gansazRvruli 0. Tuki cvladis mniSvneloba nulia, is ar arsebobs.

  • magaliTad, wona, simaRle, fermentebis aqtivoba fardobiTi cvladebia.

  • temperatura (farengeitebSi an cesliusebSi) ar aris fardobiTi cvladi – maTi nulovani mniSvneloba ar miuTiTebs temperaturis ararsebobaze, Tumca kelvinebSi gamosaxuli temperatura fardobiTia – misi 0 realurad niSnavs temperaturis ararsebobas.

  • fardobiT cvladebTan muSaobisas, intervaluri cvladebisagan gansxvavebiT, SegiZliaT SeafasoT maTi fardoba. mag., 4 grami orjer metia, vidre 2 grami, radganac wona fardobiTi cvladia.

  • ra kategoriaa feri? zogierT eqsperimentSi is nominaluria, magram Tuki mas gamovsaxavT Sesabamisi talRis sigrZiT, feri iqneba fardobiTi cvladi.


Statistika

cirkularuli cvladebi

ricxviTi cvladebis specialuri tipia cikluri cvladebi. maT aqvT Tviseba - udidesi da umciresi mniSvneloba erTmaneTis gverdigver xvdeba, xSirad nulovani mniSvneloba sruliad pirobiTia. yvelaze naTeli magaliTi aseTi tipis cvladebisa biologiaSi aris dRis dro, weliwadis dro, kompasis mimarTuleba. Tuki Tqven zomavT weliwads dReebSi, I dRe SeiZleba iyos 1 ianvari, gazafxulis bunioba; romeli dRec ar unda aarCioT, I dRis momijnave iqneba erTis mxriv II dRe da meores mxriv 365-e dRe.

Tuki Tqven ganixilavT mxolod ciklis monakveTs, cirkularuli cvladebi xdeba ricxviTi cvladebi.


Statistika

araerTmniSvnelovani cvladebi

Tuki Tqven gaqvT Zalze mcire mniSvnelobebis mqone ricxviTi cvladebi, SesaZloa Zneli iyos garkveva is ricxviTi cvladia Tu nominaluri.

magaliTisaTvis, Tuki Tu Tqven adarebT baqteriebis zrdas 2 sxvadasxva areze (manozas 0 mM da 20 mM koncentraciisas) da gaqvT baqteriaTa gansxvavebuli zrda areTa calkeul koncentraciaze, aseT SemTxvevaSi Tqven SegiZliaT ganixiloT manozas koncentracia, rogorc nominaluri cvladi (mniSvnelobiT “manozas arseboba” da “manozas ararseboba”) da gaaanalizoT Sedegebi martivi t-testis gamoyenebiT. magram Tuki Tqven saeqsperimentod iyenebT manozas 10 gansxvavebul koncentracias, isini unda ganixiloT, rogorc ricxviTi cvladi da miRebuli Sedegebi gaaanalizoT wrfivi regresiis gamoyenebiT.


Sazomi sistemebi

sazomi sistemebi


Ratom viyenebt sazom sistemebs

ratom viyenebT sazom sistemebs?

  • mecnierebs sWirdebaT

  • monacemTa aRwerisa da gacvlis universaluri sistema

    (saerTaSoriso (SI) sazomi erTeulebi)


Ra izomeba sazomi sistemebit

ra izomeba sazomi sistemebiT

  • grami (g) –- wonis sazomi erTeuli

  • litri (l) -– siTxis moculobis sazomi

  • metri –(m) - sigrZisa da manZilis sazomi

  • celsiusi - temperatura


Sazomta konvertaciis sqema safexurebis metodi

sazomTa konvertaciis sqema (safexurebis meTodi)

mcire erTeulSi gadasayvanad Sesabamisad

gadaanacvleT marjvniv mZime an gaamravleT

Kkilo

1000

erT.

hHeqto

100

erT.

dDeka

10

erT.

ZiriTadi

erTeuli

Ddeci

0.1

erT.

santi

0.01

erT.

Mmili

0.001

erT.

mcire erTeulSi gadasayvanad Sesabamad

gadaanacvleT marcxniv mZime an gayaviT


Gamoviyenot safexurebis metodi

gamoviyenoT safexurebis meTodi:

1000 mg = ______ g

safexuri 1: gansazRvreT kibis ra mimarTulebiT gadaadgildebiT (zemoT Tu qvemoT)

safexuri 2: gansazRvreT ramdeni safexuria miligramidan gramamde

safexuri 3: gadaanacvleT mZime imdeni erTeuliT da im mimarTulebiT,

rac ganisazRvra 1 da 2 safexuriT

1

1000 mg = ______ g


Gamoviyenot safexurebis metodi1

gamoviyenoT safexurebis meTodi:

.15 L = __________ ml

safexuri 1: gansazRvreT kibis ra mimarTulebiT gadaadgildebiT (zemoT Tu qvemoT)

safexuri 2: gansazRvreT ramdeni safexuria miligramidan gramamde

safexuri 3: gadaanacvleT mZime imdeni erTeuliT da im mimarTulebiT,

rac ganisazRvra 1 da 2 safexuriT

150

.15 L = __________ ml


Statistika

sazomi erTeulebi

** * biologiaSi gamoyenebuli ZiriTadi sazomi erTeulebia : metri, grami an litri


Statistika

ivarjiSeT!

  • decilitri mililitrze mcirea/////////didiajermikrometri metrze mcirea//didia jer

  • nanometri milimetrrze mcirea//didia jer

  • decigrmi mikrogramze mcirea//didia jer

  • gadaiyvane:

  • 6 decilitri litrebSi

  • 0.8 kilogrami gramebSi

  • 42 mikrolitri litrebSi

  • 897 santimrtri metrebSi

  • 5,684 milimetri metrebSi

  • 4 mililitri microlitrebSi

  • 87 mikrometri santimetrebSi

  • 206 nanogrami pikogramebSi

  • 4.5 santilitri mikrolitrebSi

  • 34,567 milimetri nanometrebSi

  • 3.09 microgrami miligramebSi


Statistika

sigrZisa da manZilis erTeulebi


Statistika

wonis erTeulebi


Statistika

siTxis moculobis erTeulebi


Statistika

temperaturis sazomi erTeulebi


Statistika

koncentraciis sazomi erTeulebi

koncentracia, rogorc wesi , asaxavs masa/ moculobis damokidebulebas


Statistika

signali da xmauri

monacemi = signali + xmauri

signali = is, rasac vzomavT

xmauri = cdomilebebi gazomvisas

Tuki xmauri SemTxveviTia, SerCevis zrdasTan erTad is mcirdeba da rCeba mxolod signali


Mecniereba gazomvebi cdomilebebi da secdomebi

eqsperimentuli variaciebi

mecniereba, gazomvebi, cdomilebebi da Secdomebi


Gazomvebi da cdomilebebi

gazomvebi da cdomilebebi

  • samecniero eqsperimentebi xSirad moiTxovs gazomvebs

  • gazomvebis Sedegebi iSviaTad aris erTnairi

  • gazomvebis Sedegebi yovelTvis gansxvavdeba realuri, “namdvili” mniSvnelobisagan

  • “namdvili” mniSvneloba is mniSvnelobaa, romelic miiReboda gazomvaTa idealurad Catarebis pirobebSi da radganac idealuri gazomva ar arsebobs, “namdvili mniSvnelobac” ararealuria

  • realuri mniSvnelobisagan gadaxras Secdoma ewodeba


Secdomis wyaroebi

Secdomis wyaroebi

gazomvisas Secdomebis 2 ZiriTadi wyaroa:

  • xelsawyoebis mgrZnobelobis zRvari

  • cudad dagegmili eqsperimenti an sazomi xelsawyoebis defeqti

    Secdomebi SeiZleba iyos:

    • SemTxveviTi;

    • sistematuri (regularuli,

      meToduri)


Semtxveviti secdomebi

arsebobs yovelTvis

gazomvebi xSirad warmodgenilia ase:

gazomvis Sedegi ± SemTxveviTi Secdoma

SemTxveviTi Secdoma ar axdens gavlenas saSualoze, adgili aqvs mxolod variabelurobas

wyaro:

operatoris Secdoma

cvlileba saeqsperimento garemoSi

rogor daviyvanoT minimumazde?

gaimeoreT gazomvebi da gamoTvaleT saSualo

SemTxveviTi Secdomebi”:


Sistematuri secdomebi

Cveulebrivad aqvs adgili

gazomvebi xSirad warmodgenilia ase:

gazomvis Sedegi + SemTxveviTi Secdoma

an

gazomvis Sedegi - SemTxveviTi Secdoma

SemTxveviTi Secdoma gavlenas axdena saSualoze!

mas gadaxra ewodeba

sistematuri Secdomebi

  • wyaro:

    • instrumentuli, fizikuri Tu adamianuri resursebis limiti

    • mag. xelsawyos araswori kalibrireba

  • rogor daviyvanoT minimumazde?

    • swori kalibrireba

    • xarisxiani xelsawyoebi


Sizuste da akuratuloba gazomvebisas

sizuste

ramdenad ganmeorebadia

gazomvebi

akuratuloba

ramdena axlosaa

gazomvebi realurTan

sizuste da akuratuloba gazomvebisas


Statistika

gansazRvreba

akuratuloba da sizuste …sityvebs TiTqos erTnairi datvirTva aqvT...

sad aris sxvaoba?

Accuracy

and Precision...


Statistika

gansazRvreba : akuratuloba

eqsperimentSi saWiroa gaTvaliswinebul iqnas sazomi xelsawyoebis akuratuloba,

magaliTad,

ZviradRirebuli Termometri ufro akuratulad gazomavs temperaturas - gazomvis Sedegi axlos iqneba realurTan.

aseTi xelsawyo ufro mgrZnobiare iqneba temperaturis mciredi cvlilebis mimarT


Statistika

gansazRvreba : sizuste

sizuste dakavSirebulia sazomi xelsawyos umciresi danayofis fasTan, mag., saxazaviT gazomvisas:

milimetriani danayofis mqone saxazavi ufro zusti iqneba

vidre santimetriani

aseTi saxazavi mogvcems myar monacemebs gazomvaTa gameorebisas


Gazomvis sizuste

gazomvis sizuste

  • bolo cifri aris mixlovebiTiestimate.

  • sizuste limitirebulia instrumentiT

≈ 26.13 cm


Statistika

A

= 71 g – 77 g = 6 g

B

= 73 g – 75 g = 2 g

gansazRvreba : sizuste

For example, 2 balances:

menzura aiwona A sasworze 3-jer

Sedegebia: 73 g, 77 g, 71 g

amrigad, sazRvrebia

Semdeg menzura aiwona meore B sasworze 3-jer

Sedegebia: 75 g, 73 g, 74 g

amrigad, sazRvrebia

B saswori ukeTesi sizustisaa, misi gazomvis Sedegebi axlos dgas erTmaneTTan


Statistika

0

namdvili mniSvneloba

akuratulobis da suzustis Sedareba

gaviazroT sakiTxi xis panelis gazomvis magaliTze

panelis sigrZes aqvs namdvili mniSvneloba

da

Cven SegviZlia gavzomoT is


Statistika

0

true

value

0

0

akuratulobis da suzustis Sedareba

zusti (dajgufebuli), magram araakuratuli

akuratuli (saSualod) magram arazusti

akuratuli da zusti


Mizansi srola akuratuloba da sizuste

mizanSi srola: akuratuloba da sizuste

  • warmoidgineT adamiani, romelic isvris mizanSi.

araakuratuli

arazusti

akuratuli

arazusti

araakuratuli

zusti

akuratuli

zusti


Samecniero monacemebi

samecniero monacemebi

Tumca sizuste da akuratuloba limitirebulia xolme monacemTa mopovebis meTodebiTa da xerxebiT

mecnierebs yovelTvis sWirdebaT zusti da akuratuli eqsperimentuli Sedegebi


Rogor movepyrot secdomebs

rogor movepyroT Secdomebs?

  • pirvel rigSi gamovavlinoT isini da SevafasoT maTi xarisxi

  • SevecadoT SevamciroT Secdomebi

    rogor?

    • ukeTesi xelsawyoebiT

    • eqsperimentis ukeTesad dagegmviT

    • Sedegebis raodenobis zrdiT


Cudi ambavi

cudi ambavi…...…

  • ara aqvs mniSvneloba, rogor kargad asrulebT amocanas… - Secdomebi iqneba yovelTvis!

  • ismis SekiTxva - – rogor moveqceT maT?

gamoviyenoT statistika!


Statistika

yvelaze mniSvnelovani, rasac aucileblad unda miaqcios yuradReba studentma samecniero saqmianobis dawyebisas, xSirad yuradRebis miRma rCeba – is, rom samecniero eqspeiments garkveulwila Tan axlavs gaurkvevloba.

buneba arasodes tyuis, magram mecnierebis survili Caataron eqssperimenti da moaxdinon Sedegebis interpretacia xSirad winaaRmdegobebs awydeba. ramdeni dro dauxarjavT maT rom mieRoT 60%-iani sarwmunooba!

studentebi acnobiereben eqsperimentul monacemebSi Secdomebis arsebobis SesaZleblobas Teoriuli codnis safuZvelze an awydebian maT pirveli praqtikuli amocanis Sesrulebisas, Tumca amas eqsperimentis Cavardnad Tvlian da srulyofilad ar aanalizeben maT - ZiriTadi koncepciebis safuZvelze daskvnebis gamotanas swavla sWirdeba.


Roca gaqvt problemebi eqsperimentis msvlelobisas

roca gaqvT problemebi eqsperimentis msvlelobisas:

  • SeamowmeT testi;

  • SeamowmeT analizi;

  • dafiqrdiT da Sedegsac miaRwevT!

  • hkiTxeT kolegebs sxva eqsperimentebis Sedegebis Sesaxeb;

  • moaxdineT urTierTgamomricxavi faqtebis sistematizacia;

  • gaakeTeT adeqvaturi daskvnebi!


Rodesac yvelaferi swori gzit midis

rodesac yvelaferi swori gziT midis

aRaraferi iRonoT

CainiSneT miRweuli da gaagrZeleT saqmianoba

aRar gaimeoroT sistematuri Secdomebi:

es alogikuria

es safrTxes Seuqmnis Tqvens gulmodginebas

Slide 56


Statistika

yuradReba!

waxaliseba

silabusis TemaTa daZlevaSi yvelaze warmatebul

4 students


Dadga dro seasrulot sasinao davalebebi

dadga dro SeasruloT saSinao davalebebi!


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