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1 KIỂM ĐỊNH GIẢ THUYẾT THỐNG KÊ Chương 8

Chuong 8-Kiem Dinh Gia Thuyet

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Tin học ứng dụng spss. Chương Kiểm định giả thuyế

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  • 1

    KIM NH

    GI THUYT

    THNG K

    Chng 8

  • 2

    Chng ny gip sinh vin:

    Hiu c bn cht v cc khi nim gi

    thuyt nghin cu

    Bit cc bc kim nh gi thuyt

    Hiu c cc loi kim nh gi thuyt

    Thc hin cc kim nh thng k c bn

    bng SPSS

    Mc tiu chng 8

  • 3

    Ni dung chng

    Cc bc kim nh gi thuyt 8.2

    8.1 Khi nim v gi thuyt thng k

    Kim nh v trung bnh tng th 5.4

    5.5 Phn tch phng sai ANOVA

    8.3 Kim nh mi lin h gia hai bin nh tnh

  • 4

    8.1 Cc khi nim c bn

    v gi thuyt thng k

  • 5

    L mt nhn nh, gi s, nghi ng, khng nh hay

    kin v mt hin tng, quan h hay tnh hung d nh

    kho st

    Gi thuyt l mt mnh phng on v mi quan h

    gia hai hay nhiu bin s ( Kerlinger)

    Gi thuyt l pht biu hin v mt vn no m

    tnh xc thc ca n thng cha c bit n ( Black

    & Champim)

    Gi thuyt thng k l g?

  • 6

    T cc mc tiu

    nghin cu, nh

    NC c th thit lp

    cc cu hi

    nghin cu

    3 dng cu hi nghin cu

    1. Cu hi m t

    Nhm m t hin tng

    VD: KH mua hng u, ng c mua l g,

    KH thch g sn phm

    2. Cu hi v s khc bit

    Nhm so snh s khc bit

    VD: 2 nhm khch hng khc nhau c li ch tm kim

    SP khc nhau khng? Cm nhn v thng hiu A

    c khc thng hiu B khng? Khc im no?

    3. Cu hi v s lin h

    Xc nh mc lin h ca cc hin tng

    VD: ng c, thu nhp c nh hng n cm nhn

    v cht lng hay khng?

  • 7

    Cu hi: Liu gi bn sn phm c tc ng n doanh s

    bn ca doanh nghip?

    - Gi thit: C mi quan h gia gi bn sn phm vi doanh s

    bn ca doanh nghip, gi bn cng cao th doanh s cng

    gim

    Cu hi: Cc chng trnh qung co cng ty ang thc hin

    c lm gia tng nhn bit ca ngi tiu dng vi sn phm

    khng?

    - Gi thit: Cc chng trnh qung co c tc ng n mc

    nhn bit sn phm ca ngi tiu dng, qung co cng

    nhiu, s c nhiu ngi bit v sn phm hn

    Thit lp gi thuyt nghin cu

  • 8

    Mc tiu, cu hi nghin cu v kiu thng k

    Mc tiu chung Quan h gia cc bin Thun M t

    Mc tiu c th So snh nhm Mc lin quan

    gia cc bin Tm tt d liu

    Kiu cu hi/ gi thuyt

    Kiu thng k /kim nh

    Khc bit S lin quan M t

    Kim nh s khc bit (t-test, ANOVA)

    Thng k lin quan (tng quan, hi quy)

    Thng k m t

    (trung bnh, mode,

    bng cho)

    Thng k suy din

  • 9

    Gi thuyt khng: L gi thuyt m ta mun kim nh (Ho)

    Gi thuyt i: Gi thuyt ngc li vi gi thuyt khng (H1)

    V d:

    Gi thuyt khng: Khng c s khc bit gia tui ca nam

    v n, Ho: nam = n

    Gi thuyt i: C s khc bit gia tui ca nam v n,

    H1: nam n

    Gi thuyt khng (gi thuyt thun) v gi thuyt i

  • 10

    Sai lm trong kim nh gi thuyt thng k

    Quyt nh v

    gi thuyt khng

    Ho

    Bn cht ca Ho

    Ho ng Ho sai

    Khng bc b

    (chp nhn)

    Quyt nh ng

    Prob = 1-

    Sai lm loi II

    Prob =

    Bc b

    Sai lm loi I

    Prob =

    ( = mc ngha ca

    kim nh)

    Quyt nh ng

    Prob = 1

  • 11

    (V d phn ph students t)

    Min chap nhan gia thuyet Ho

    Min bac bo Ho

    0,025

    - t (/2,n-1) t/2,n-1

    Gia tr t tnh c

    nho hn iem ti han

    Gia tr t tnh c

    ln hn iem ti han

    P-value

    (sig.)>0,025

    P-value (sig.)

  • 12

    Bc 1: Thnh lp gi thuyt Ho. V d: Ho: = o

    Bc 2: Thnh lp gi thuyt H1. V d: H1: o

    Bc 3: Xc nh mc ngha

    Bc 4: Chn cc tham s thng k thch hp cho vic kim nh,

    xc nh cc min bc b; min chp nhn v gi tr gii hn

    Bc 5: Tnh ton cc gi tr ca cc tham s thng k trong vic

    kim nh da trn s liu ca mu ngu nhin.

    Bc 6: Ra quyt nh: Nu cc gi tr tnh ton ri vo min bc

    b Ho th ra quyt nh bc b Ho. Ngc li s chp nhn Ho.

    8.2 Cc bc kim nh gi thuyt thng k

  • 13

    Bc 1: Xc nh php kim nh cn thc hin

    Bc 2: t gi thuyt

    H0: khng .

    H1: c

    Bc 3: Thc hin kim nh bng SPSS

    Bc 4: c s Sig. v so snh vi s Nu Sig. >= => chp nhn Ho

    Nu Sig. < => bc b Ho

    Cc bc kim nh gi thuyt bng SPSS

  • 14

    8.3 Kim nh mi lin h

    gia hai bin nh tnh

  • 15

    Khi mun tm hiu c mi lin h no gia hai

    bin nh tnh trong tng th hay khng

    L kim nh ph bin trong nghin cu th trng

    Kim nh c s dng l kim nh Chi-bnh

    phng (Chi-Square)

    p dng vi cc thang o nh danh v th bc

    Kim nh mi lin h gia hai bin nh tnh

  • 16

    Kim nh mi lin h gia 2 bin nh danh

    - V d nh mun tm hiu mi quan h gia gii tnh v

    vic chn ngnh hc

    Kim nh mi lin h gia mt bin nh danh v mt bin

    th t

    - V d: Tm hiu mi lin h gia quan nim v cuc sng

    v trnh hc vn

    Kim nh mi lin h gia hai bin th t

    - V d nh tui c nh hng ti mc quan tm n

    ch gia nh

    Cc kim nh thng gp

  • 17

    gii tnh Total

    Nam N

    Gia nh

    Quan

    tam

    nhat

    Count 9 13 22

    % within

    Gia nh 40.9% 59.1% 100.0%

    Quan

    tam nh

    Count 27 31 58

    % within

    Gia nh 46.6% 53.4% 100.0%

    Quan

    tam ba

    Count 25 22 47

    % within

    Gia nh

    53.2% 46.8% 100.0%

    Total

    Count 61 66 127

    % within

    Gia nh 48.0% 52.0% 100.0%

    Quan tam ti gia nh * gii tnh Crosstabulation

    Kt qu kim nh Chi bnh phng

  • 18

    Chi-Square Tests

    Value df

    Asymp.

    Sig. (2-

    sided)

    Pearson Chi-Square .999(a) 2 .607

    Continuity Correction

    Likelihood Ratio 1.002 2 .606

    Linear-by-Linear

    Association .989 1 .320

    N of Valid Cases 127

    a 0 cells (.0%) have expected count less than 5.

    The minimum expected count is 10.57.

  • 19

    Bng kt hp 2 bin cho ta thy dng nh c s lin

    h gia gii tnh v mc quan tm ti gia nh, kt

    qu cho thy n quan tm n gia nh hn nam.

    Kt qu kim nh Chi bnh phng, ta c Sig. > 0.05,

    nn ta khng bc b gi thuyt Ho.

    Kt lun rng vi tp d liu mu, ta cha c bng

    chng ni rng gii tnh c lin h vi mc

    quan tm gia nh.

    Kt lun

  • 20

    8.4 Kim nh gi thuyt v

    trung bnh tng th

  • 21

    Kim nh gi thuyt

    v trung bnh tng th

    Kim nh

    gi thuyt

    s bng nhau v

    tr trung bnh

    ca hai tng th

    Kim nh

    gi thuyt

    v tr trung bnh

    ca mt tng th

  • 22

    o Dng kim nh c hay khng s khc bit

    ca gi tr trung bnh ca mt bin vi mt gi

    tr c th

    o p dng cho cc bin dng thang o khong

    cch hay t l (bin nh lng)

    Kim nh gi thuyt v tr trung bnh

    ca mt tng th

    Ti cho rng im trung bnh ca lp ta

    l 8.5

  • 23

  • 24

    Tin hnh phng vn 100 khch hng v nhn hiu Tr xanh

    Khng , cu hi theo thang o khong nh sau:

    Q10. Anh(ch) hy cho bit mc ng ca mnh vi nhn

    xt sau v Tr xanh Khng

    Tr Xanh Khng l nhn hiu c nhiu ngi a thch

    Hon ton

    khng

    ng

    1 2 3 4 5

    o Nh nghin cu mun kim nh xem trung bnh ca bin ny

    c bng hay khc 3

    V d

    Hon ton

    ng

  • 25

    Kt qu kim nh a)Tm tt One-Sample Statistics

    N Mean

    Std.

    Deviation

    Std.

    Error

    Mean

    Nhan hieu c

    nhieu ngi a

    thch

    100 3.86 .792 .079

    b) Kt qu kim nh One-Sample Test

    Test Value = 3

    t Df

    Sig. (2-

    tailed)

    Mean

    Difference

    95% Confidence

    Interval of the

    Difference

    Lower Upper

    Nhan hieu c

    nhieu ngi a

    thch

    10.86

    4 99 .000 .86 .70 1.02

  • 26

    Kim nh gi thuyt s bng nhau

    v tr trung bnh ca hai tng th

    Trng hp hai mu c lp

    (gm 1 bin nh lng v

    1 bin nh tnh c 2 phn loi)

    Trng hp mu ph thuc hay cp mu

  • 27

    Trng hp hai mu c lp

    Khi mun so snh tr trung bnh v mt ch tiu nghin

    cu no gia 2 nhm mu c lp

    p dng cho 2 bin, bao gm:

    Mt bin bin nh lng tnh trung bnh

    Mt bin nh tnh dng phn loi nhm so snh

    Trc khi tin kim nh trung bnh, ta cn phi thc hin

    mt kim nh khc l Levene test

  • 28

    Trng hp hai mu c lp(tt)

    Nu gi tr Sig. trong kim nh Levene < 0.05 (SPSS

    mc nh tin cy 95%) th phng sai ca hai tng

    th khc nhau, ta s s dng kt qu kim nh t

    phn Equal variances not assumed

    Nu gi tr Sig. trong kim nh Levene > 0.05 (SPSS

    mc nh tin cy 95%) th phng sai ca hai tng

    th khng khc nhau, ta s s dng kt qu kim nh

    t phn Equal variances assumed

  • 29

  • 30

    Nh nghin cu mun tm hiu c s khc nhau hay

    khng gia nam v n i vi mt chng trnh

    qung co ca nhn hiu X

    Tin hnh phng vn 100 i tng vi 47 nam v

    53 n vi cu hi dng thang o khong sau

    Bn vui lng nh gi qung co ca nhn hiu X

    bn va xem

    V d

    Rt ght Rt thch

    1 2 3 4 5

  • 31

    Kt qu kim nh

    Group Statistics

    Gii tnh N Mean

    Std.

    Deviatio

    n

    Std.

    Error

    Mean

    Thai o

    vi quang

    cao

    Nam 47 3.13 1.227 .179

    N 53 3.60 .947 .130

    Independent Samples Test

    Thai o vi quang cao

    Equal variances

    assumed

    Equal variances not

    assumed

    Levene's Test for Equality

    of Variances

    F 1.567

    Sig. .214

    t-test for Equality of Means T -2.185 -2.152

    Df 98 86.197

    Sig. (2-tailed) .031 .034

    Mean Difference -.48 -.48

    Std. Error Difference .218 .221

    95%

    Confidence

    Interval of the

    Difference

    Lower -.909 -.916

    Upper

    -.044 -.036

  • 32

    Trng hp mu cp

    Kim nh dng cho hai bin trong cng mt mu c

    lin h vi nhau

    D liu thu thp t dng thang khong hoc t l

    iu kin yu cu cho loi kim nh ny l kch c hai

    mu so snh phi bng nhau

    Cc quan st cho mi bn so snh phi c thc

    hin trong cng nhng iu kin ging nhau

    Ph hp vi dng nghin cu th nghim sn phm

    mi hay chng trnh marketing

  • 33

  • 34

    Trng hp mu cp

    Kim nh dng cho hai bin trong cng mt mu c

    lin h vi nhau

    D liu thu thp t dng thang khong hoc t l

    iu kin yu cu cho loi kim nh ny l kch c hai

    mu so snh phi bng nhau

    Cc quan st cho mi bn so snh phi c thc

    hin trong cng nhng iu kin ging nhau

    Ph hp vi dng nghin cu th nghim sn phm

    mi hay chng trnh marketing

  • 35

    V d

    Nh nghin cu mun tm hiu mc a thch vi hai sn phm

    A v B. Nh nghin cu tin hnh mt cuc phng vn i tng l

    100 ngi sau khi cho h dng th ln lt 2 sn phm. Cu hi

    phng vn s dng thang o khong vi 5 im nh sau:

    Anh(ch) vui lng cho bit mc a thch vi cc sn phm trn

    1. Sn phm A

    Rt khng thch Rt thch

    1 2 3 4 5

    2. Sn phm B

    Rt khng thch Rt thch

    1 2 3 4 5

  • 36

    Kt qu kim nh

    Paired Samples Statistics

    Mean N

    Std.

    Deviat

    ion

    Std.

    Error

    Mean

    Pair 1 San

    pham

    A

    3.42 100 1.174 .117

    San

    pham

    B

    3.50 100 1.000 .100

    Paired Samples Test

    Pair 1

    SP A

    SP B

    Paired

    Differences

    Mean -.08

    Std. Deviation .961

    Std. Error Mean .096

    95%

    Confidence

    Interval of

    the

    Difference

    Lower -.27

    Upper .11

    T -.833

    Df 99

    Sig. (2-tailed) .407

    Bng kt qu cho thy khng c s khc bit

    gia mc a thch sn phm A v B

    (Sig.= 0.407 > 0.05) mc d im trung bnh ca

    sn phm B cao hn sn phm B l 0.08

  • 37

    8.5 Phn tch phng sai

    (ANOVA)

  • 38

    Phn tch phng sai

    L s m rng ca kim nh trung bnh

    Gip ta so snh tr trung bnh ca 3 nhm tr ln

    C 2 th tc phn tch phng sai:

    ANOVA 1 yu t v ANOVA nhiu yu t

  • 39

    Phn tch phng sai mt yu t

    c p dng trong trng hp

    chng ta ch s dng 1 bin yu

    t phn loi cc quan st

    thnh cc nhm khc nhau

  • 40

    V d

    Nh nghin cu mun tm hiu c s khc nhau v tui

    v mc nh gi tm quan trng ca vic c tnh yu

    trong cuc sng hay khng

    Bin nh lng l bin nh gi tm quan trng theo 7

    mc (T 1: khng quan trng n 7: Rt quan trng).

    Bin nh tnh dng phn loi l bin tui vi 4 nhm

    khc nhau: (1) T 18-25, (2) t 26-35, (3) t 36 - 45 v

    (4) t 46-50

  • 41

  • 42

    Kt qu

    phn tch

    a) Descriptives

    Co tnh yeu

    18-25 26-35 36-45 46--60 Total

    N 150 140 111 99 500

    Mean 5.89 5.82 5.53 5.34 5.68

    Std. Deviation 1.272 1.431 1.381 1.255 1.352

    Std. Error .104 .121 .131 .126 .060

    95%

    Confidence

    Interval for

    Mean

    Lower Bound 5.68 5.58 5.27 5.09

    5.56

    Upper Bound 6.09 6.06 5.79 5.59 5.80

    Minimum 1 1 1 1 1

    Maximum 7 7 7 7 7

  • 43

    b) Test of Homogeneity of Variances

    Co tnh yeu

    Levene

    Statistic df1 df2 Sig.

    1.607 3 496 .187

    c) ANOVA

    Co tnh yeu

    Sum of

    Square

    s df

    Mean

    Square F Sig.

    Between

    Groups 22.866 3 7.622 4.250 .006

    Within

    Groups

    889.57

    2 496 1.793

    Total 912.43

    8 499

    Bng phn tch ANOVA, vi mc ngha quan st Sig. = 0.06, gi s

    chp nhn tin cy ca kim nh l 90% (mc ngha l 0.1%),

    ta kt lun c s khc bit c ngha thng k gia 4 nhm tui

    v s nh gi mc quan trng ca yu t c tnh yu trong cuc sng

    Bng thng k m t cho ta thy mc quan trng ca yu t tnh yu

    dng nh ngy cng gim khi tui cng cao.

  • 44

    Cu hi n tp v tho lun

    Cho bit s ging nhau v khc nhau trong 2

    phng php kim nh t (cho mu cp v cho mu

    c lp). Hy thit k hai nghin cu trong c s

    dng hai phng php kim nh ny khi phn tch

    d liu

    Trong d n nghin cu m nhm anh (ch)

    chn trong chng 1, hy trnh by cc phng

    php kim nh m cc anh(ch) d kin s thc

    hin.