Stats Decision Tree
1
C a t e g o r i c a l Q u a n t i t a t i v e How many proportions? One Two Three or more One Proportion Z Two Proportion Z Chi-Square How many means? Is sigma known? One mean Yes No Two means Are the data paired?* Yes No Three or more One Sample Z One Sample t Two Sample t Dependent Two Sample t Independent ANOVA Regression Ηo : Ηa : All means are equal. At least one mean is different. Ηo : μd = 0 Ηa : μd > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ 0 Ηo : μ 1 = μ 2 Ηa : μ 1 > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ μ 2 Ηo : μ = μo Ηa : μ > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ μo Z = X − μo σ Ηo : p = po Ηa : p > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ po Ηo : p1 = p2 Ηa : p1 > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ p2 Ηo : Ηa : The row variable and the column variable are independent. The row variable and the column variable are NOT independent. Ηo : β 1 = 0 Ηa : β 1 ≠ 0 Ηo : μ = μo Ηa : μ > < ≠ ⎧ ⎨ ⎪ ⎩ ⎪ ⎫ ⎬ ⎪ ⎭ ⎪ μo P-Value (two tailed) Are we measuring or counting? Is there a Yes/No question? Answers are means or proportions? Math Study Center BYU IDAHO Statistical Test Decision Tree X − Z * σ n , X + Z * σ n ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ Equation Confidence Interval Z-Score SPSS Guide Use Excel SPSS Guide Use Excel SPSS Guide Use Excel SPSS Guide Pg. 8 SPSS Guide Pg. 11 SPSS Guide Pg. 16 SPSS Guide Pg. 34 221B/C ask a tutor for the SPSS Guide SPSS Guide Pg. 18 Confidence Interval None Confidence Interval None Confidence Interval Use Software Confidence Interval Use Software Confidence Interval Use Software Does it make sense to subtract column 2 from column 1? p value < α Reject the Null Type I Error Rejecting the truth Right Skewed Yes No Is the test before and after? * Do subjects from column 1 have to match subjects from column 2? Confidence Interval Use Software Confidence Interval Use Software Confidence Interval Use Software m = z * σ n n = z * σ m ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ n: Sample Size m: Margin of Error m = z * p 1 − p ( ) n n = z * m ⎛ ⎝ ⎜ ⎞ ⎠ ⎟ 2 p 1 − p ( ) n: Sample Size m: Margin of Error Medi an Mean
-
Upload
kaleb-nygaard -
Category
Documents
-
view
24 -
download
2
Transcript of Stats Decision Tree
CategoricalQuantitative
How many proportions?
One
Two
Three or more
One Proportion Z
Two Proportion Z
Chi-Square
How many means?
Is sigma known?
One mean
Yes
No
Twomeans
Are the data paired?*
Yes
No
Three ormore
One Sample Z
One Sample tTwo Sample t
Dependent
Two Sample tIndependent
ANOVA
Regression
Ηo :Ηa :
All means are equal.At least one mean is different.
Ηo :μd =0
Ηa :μd
><≠
⎧
⎨⎪
⎩⎪
⎫
⎬⎪
⎭⎪
0
Ηo :μ1 = μ2
Ηa :μ1
><≠
⎧
⎨⎪
⎩⎪
⎫
⎬⎪
⎭⎪μ2
Ηo :μ = μo
Ηa :μ><≠
⎧
⎨⎪
⎩⎪
⎫
⎬⎪
⎭⎪μo
Z =X − μo
σ
Ηo : p= po
Ηa : p><≠
⎧
⎨⎪
⎩⎪
⎫
⎬⎪
⎭⎪
po
Ηo : p1 = p2
Ηa : p1
><≠
⎧
⎨⎪
⎩⎪
⎫
⎬⎪
⎭⎪
p2
Ηo :Ηa :
The row variable and the column variable are independent.The row variable and the column variable are NOT independent.
Ηo :β1 =0Ηa :β1 ≠0
Ηo :μ = μo
Ηa :μ><≠
⎧
⎨⎪
⎩⎪
⎫
⎬⎪
⎭⎪μo
P-Value(two tailed)
Are wemeasuring or counting?
Is therea Yes/No question?
Answers aremeans or proportions?
Math Study CenterBYUIDAHO
Statistical Test Decision Tree
X − Z * σ
n, X + Z * σ
n
⎛
⎝⎜
⎞
⎠⎟
Equation Confidence Interval
Z-Score
SPSS GuideUse Excel
SPSS GuideUse Excel
SPSS GuideUse Excel
SPSS GuidePg. 8
SPSS GuidePg. 11
SPSS GuidePg. 16
SPSS GuidePg. 34
221B/C ask a tutor for the
SPSSGuide
SPSS GuidePg. 18 Confidence Interval
NoneConfidence Interval
None
Confidence IntervalUse Software
Confidence IntervalUse Software
Confidence IntervalUse Software
Does it make sense to subtract column 2 from column 1?
p value <α
Reject the Null
Type I Error
Rejecting the truth
Right Skewed
YesNo
Is the test before and after?
*
Do subjects from column 1 haveto match subjects from column 2?
Confidence IntervalUse Software
Confidence IntervalUse Software
Confidence IntervalUse Software
m= z* σ
nn=
z*σm
⎛
⎝⎜
⎞
⎠⎟
n: Sample Size
m: Margin of Error
m= z*p 1− p( )
nn=
z*
m⎛
⎝⎜
⎞
⎠⎟
2
p 1− p( )
n: Sample Size
m: Margin of Error
Median Mean
