Qhov txawv ntawm qhov zoo sib xws thiab qhov tsis zoo sib xws

2024 Tus sau: Alex Aldridge | [email protected]. Kawg hloov kho: 2023-12-17 13:40

Kev sib raug zoo vs kev sib raug tsis zoo

Kev sib raug zoo yog qhov ntsuas ntawm lub zog ntawm kev sib raug zoo ntawm ob qhov sib txawv. Lub correlation coefficient quantifies lub degree ntawm kev hloov ntawm ib tug kuj sib txawv raws li qhov kev hloov ntawm qhov sib txawv. Hauv kev txheeb cais, kev sib raug zoo yog txuas nrog lub tswv yim ntawm kev vam khom, uas yog kev sib raug zoo ntawm ob qhov sib txawv.

Pearson qhov sib txheeb coefficient lossis Pearson Product-Moment Correlation Coefficient, lossis yooj yim qhov sib txheeb coefficient yog tau los ntawm cov qauv hauv qab no.

Rau cov pejxeem:

Rau tus qauv:

thiab cov lus hauv qab no sib npaug rau cov lus hais saum toj no.

thiab

yog cov qhab nia ntawm X thiab Y feem.

yog qhov txhais tau tias thiab s_X thiab s_{Y yog tus qauv sib txawv ntawm X thiab Y.}

Pearson qhov sib txheeb coefficient (lossis tsuas yog qhov sib txheeb coefficient) yog qhov feem ntau siv correlation coefficient thiab siv tau rau kev sib raug zoo ntawm qhov sib txawv. r yog tus nqi ntawm -1 thiab 1 (-1 ≤ r ≤ +1). Yog tias r=0, tsis muaj kev sib raug zoo thiab, yog tias r ≥ 0, kev sib raug zoo yog ncaj qha proportional thiab tus nqi ntawm ib qho kev sib txawv nce nrog rau lwm tus. Yog tias r ≤ 0, ib qho kev sib txawv ntawm qhov txo qis raws li qhov nce ntxiv thiab rov ua dua.

Vim tias cov kab mob sib kis, kev sib raug zoo coefficient r kuj tuaj yeem siv los tsim kom muaj kev sib raug zoo ntawm cov kab sib txawv.

Dab tsi yog qhov sib txawv ntawm qhov zoo sib xws thiab qhov tsis zoo sib xws?

• Thaum muaj kev sib raug zoo (r > 0) ntawm ob qhov sib txawv ntawm qhov sib txawv, ib qho hloov pauv hloov pauv mus rau lwm qhov sib txawv. Yog ib tug kuj nce mus rau lwm qhov nce. Yog tias ib qho hloov pauv tau txo qis, lwm qhov txo qis ib yam nkaus.

• Thaum muaj kev sib raug zoo tsis zoo (r < 0) ntawm ob qhov sib txawv ntawm qhov sib txawv, qhov sib txawv txav tawm tsam ib leeg. Yog hais tias ib tug kuj nce mus rau lwm yam txo thiab vice versa.

• Ib kab kwv yees qhov kev sib raug zoo muaj qhov zoo gradient, thiab kab kwv yees qhov kev sib raug zoo tsis zoo muaj qhov tsis zoo gradient.