Assumption of Normality * Dr. Azadeh Asgari

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NSSQKU\GIH I@ NSSQKU\GIH I@ HI_KNBG\W HI_KNBG\W Lr( N}nlaj Nsdnr g > S\N\GS\GCS NHNBWSGS

Transcript of Assumption of Normality * Dr. Azadeh Asgari

8/3/2019 Assumption of Normality * Dr. Azadeh Asgari

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NSSQKU\GIH I@NSSQKU\GIH I@

HI_KNBG\WHI_KNBG\W

Lr( N}nlaj Nsdnrg>>

S\N\GS\GCS NHNBWSGS

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Nssqku|gih i` Hirknbg|wNssqku|gih i` Hirknbg|w Knhw i` |ja s|n|gs|gcnb ka|jils |jn| ta tgbb nuubw ra~qgra

|ja nssqku|gih |jn| n pnrgnoba ir pnrgnobas nra hirknbbw

lgs|rgoq|al(

Tg|j kqb|gpnrgn|a s|n|gs|gcs" |ja nssqku|gih gs |jn| |ja

cikoghn|gih i` pnrgnobas `ibbits n kqb|gpnrgn|a hirknb

lgs|rgoq|gih(

Sghca |jara gs hi| n lgrac| |as| `ir kqb|gpnrgn|a hirknbg|w" ta

daharnbbw |as| ancj pnrgnoba ghlgpglqnbbw nhl nssqka |jn|

|jaw nra kqb|gpnrgn|a hirknb g` |jaw nra ghlgpglqnbbw hirknb"

|jiqdj |jgs gs hi| hacassnrgbw |ja cnsa(

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Apnbqn|ghd Hirknbg|wApnbqn|ghd Hirknbg|w

\jara nra oi|j drnujgcnb nhl s|n|gs|gcnb ka|jils `ir apnbqn|ghd

hirknbg|w(

Drnujgcnb ka|jils ghcbqla |ja jgs|idrnk nhl hirknbg|w ubi|(

S|n|gs|gcnb ka|jils ghcbqla lgndhis|gc jwui|jasgs |as|s `ir 

hirknbg|w" nhl n rqba i` |jqko |jn| snws n pnrgnoba gs

ransihnobw cbisa |i hirknb g` g|s sfathass nhl fqr|isgs jnpa

pnbqas oa|taah ¾>(5 nhl &>(5(

 Hiha i` |ja ka|jils gs nosibq|abw la`ghg|gpa(

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\rnhs`irkn|gihs\rnhs`irkn|gihs

Tjah n pnrgnoba gs hi| hirknbbw lgs|rgoq|al" ta cnh cran|a n|rnhs`irkal pnrgnoba nhl |as| g| `ir hirknbg|w( G` |ja|rnhs`irkal pnrgnoba gs hirknbbw lgs|rgoq|al" ta cnh

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ghparsa |rnhs`irkn|gih(

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Tjah \rnhs`irkn|gihs Li Hi|Tirf Tjah \rnhs`irkn|gihs Li Hi|Tirf 

Tjah hiha i` |ja |rnhs`irkn|gihs ghlqcas hirknbg|w gh n

pnrgnoba" ghcbqlghd |jn| pnrgnoba gh |ja nhnbwsgs tgbb ralqca

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Ta li jnpa |ja iu|gih i` cjnhdghd |ja tnw |ja gh`irkn|gih

gh |ja pnrgnoba gs raurasah|al" a(d( sqos|g|q|a saparnb

lgcji|ikiqs pnrgnobas `ir n sghdba ka|rgc pnrgnoba(

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UriobakUriobak >>

Gh |ja ln|nsa| DSS?555(snp" gs |ja `ibbitghd s|n|akah| |rqa"

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>(\

rqa?( \rqa tg|j cnq|gih

3( @nbsa

<( Ghcirrac| nuubgcn|gih i` n s|n|gs|gc

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Cikuq|ghd ³Azubira¼ Lascrgu|gpa S|n|gs|gcsCikuq|ghd ³Azubira¼ Lascrgu|gpa S|n|gs|gcs

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pnrgnoba" sabac| |ja Azubira¦

cikknhl `rik |ja Lascrgu|gpa

S|n|gs|gcs kahq(

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Nllghd |ja Pnrgnoba |i oa Apnbqn|alNllghd |ja Pnrgnoba |i oa Apnbqn|al

@grs|" cbgcf ih |ja pnrgnoba

|i oa ghcbqlal gh |ja

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nrrit oq||ih |i kipa |ja

jgdjbgdj|al pnrgnoba |i |ja

 Lauahlah| Bgs| (

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Sabac|ghd S|n|gs|gcs |i oa Cikuq|alSabac|ghd S|n|gs|gcs |i oa Cikuq|al

\i sabac| |ja s|n|gs|gcs ̀ ir |jaiq|uq|" cbgcf ih |jaS|n|gs|gcs¦ cikknhl oq||ih(

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Ghcbqlghd Lascrgu|gpa S|n|gs|gcsGhcbqlghd Lascrgu|gpa S|n|gs|gcs

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Cih|ghqa  oq||ih |i

cikuba|a |ja ra~qas|

`ir s|n|gs|gcs(

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Sabac|ghd Cjnr|s @ir \ja Iq|uq|Sabac|ghd Cjnr|s @ir \ja Iq|uq|

\i sabac| |ja lgndhis|gc

cjnr|s `ir |ja iq|uq|"

cbgcf ih |ja Ub i|s¦

cikknhl oq||ih(

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Ghcbqlghd Lgndhis|gc Ubi|s & S|n|gs|gcsGhcbqlghd Lgndhis|gc Ubi|s & S|n|gs|gcs

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@ghnbbw" cbgcf ih |ja

Cih|ghqa  oq||ih |i

cikuba|a |ja ra~qas|(

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Cikuba|ghd |ja Suacg`gcn|gihs `ir |ja NhnbwsgCikuba|ghd |ja Suacg`gcn|gihs `ir |ja Nhnbwsgss

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cikuba|a |ja suacg g̀cn|gihs

`ir |ja nhnbwsgs nhl ra~qas|

SUSS |i urilqca |ja iq|uq|(

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\ja Jgs|idrnk\ja Jgs|idrnk

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hirknbg|w cnqsal ow n az|rakabw

bnrda pnbqa gh |ja lgs|rgoq|gih(

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cnqsal ow |ja az|rakabw bnrda ln|n pnbqas(

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\ja nhstar |i uriobak > gs `nbsa(

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\ja Nssqku|gih i` Hirknbg|w Scrgu|\ja Nssqku|gih i` Hirknbg|w Scrgu|

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`rik |ja Q|gbg|gas kahq(

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Sabac|ghd |ja Nssqku|gih i` Hirknbg|w Scrgu|Sabac|ghd |ja Nssqku|gih i` Hirknbg|w Scrgu|

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gh |ja ln|n sa| |i |ja

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UriobakUriobak ??

Gh |ja ln|nsa| DSS?555(snp" gs |ja `ibbitghd s|n|akah| |rqa"

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\noba i` Lascrgu|gpa S|n|gs|gcs\noba i` Lascrgu|gpa S|n|gs|gcs

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\ja nhstar |i uriobak ? g` `nbsa(

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UriobakUriobak 33Gh |ja ln|nsa| DSS?555(snp" gs |ja `ibbitghd s|n|akah| |rqa"

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bapab i` sgdhg`gcnhca(

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3( @nbsa

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\ja \as| i` Hirknbg|w\ja \as| i` Hirknbg|w

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\ja nhstar |i uriobak 3 gs |rqa(

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I|jar Uriobaks ih Nssqku|gih i` Hirknbg|wI|jar Uriobaks ih Nssqku|gih i` Hirknbg|w N uriobak knw nsf noiq| |ja nssqku|gih i` hirknbg|w `ir n

hikghnb bapab pnrgnoba( \ja nhstar tgbb oa ³Nh ghnuuriurgn|anuubgcn|gih i` n s|n|gs|gc¼ sghca |jara gs hi azuac|n|gih |jn| n

hikghnb pnrgnoba oa hirknb(

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S|aus gh Nhstarghd ^qas|gihs noiq| |jaS|aus gh Nhstarghd ^qas|gihs noiq| |ja

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\rqaHi

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8/3/2019 Assumption of Normality * Dr. Azadeh Asgari

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