# SOC350H5 Study Guide - Sampling Distribution, New Zealand, Standard Deviation

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CHAPTER 2

Proportion

Percentage

CHAPTER 3

Mean

CHAPTER 4

Standard deviation

CHAPTER 5

Zscores

CHAPTER 7

Conﬁdence interval for a sample mean

Conﬁdence interval for a sample proportion

CHAPTER 8

Means

Z 1obtained2Xm

s/1N1

c.i. PsZ BPu11Pu2

N

c.i. XZ as

1N1b

ZiXiX

s

sBg1XiX22

N

Xg1Xi2

N

%af

Nb100

pf

N

Proportions

CHAPTER 9

Means

Standard deviation of the sampling

distribution for sample means

Pooled estimate of population proportion

Standard deviation of the sampling

distribution for sample proportions

Proportions

CHAPTER 10

Total sum of squares

Sum of squares between

Sum of squares within

SSW SST SSB

Degrees of freedom for SSW

Degrees of freedom for SSB

dfb k1

dfw Nk

SSB aNk 1XkX22

SST aX2NX2

Z 1obtained21Ps1Ps22

spp

spp1Pu11Pu2 11N1N22/N1N2

PuN1Ps1N2Ps2

N1N2

sxxBs2

1

N11s2

2

N21

Z 1obtained21X1X22

sxx

Z 1obtained2PsPu

1Pu11Pu2/N

2S

1S

N

2

FREQUENTLY USED FORMULAS

99-W4499-EP-VD1.qxd 10/22/07 9:32 PM Page 2

## Document Summary

Standard deviation s b g1xi x2 2. X z a s1n 1b. Ps z b pu11 pu2. Z 1obtained2 1x1 x22 sx x. Standard deviation of the sampling distribution for sample means sx x b s 2. Standard deviation of the sampling distribution for sample proportions sp p 1pu11 pu2 11n1 n22/n1n2. Sst a x 2 nx 2. Ssb a nk 1xk x2 2. Degrees of freedom for ssw dfw n k. Degrees of freedom for ssb dfb k 1. Chi square x2 1obtained2 a 1 fo fe2 2 fe. 1n 21minimum of r 1, c 12. Spearman"s rho rs 1 6 g d 2. 23 1x x 2 243 1y y 2 24. Partial correlation coef cient ryx. z ryx 1ryz21rxz2 yz 21 r 2. Partial slope for x1 b1 a sy s1b a ry1 ry2r12. Partial slope for x2 b2 a sy s2b a ry2 ry1r12. Y intercept a y b1x1 b2x2. Beta-weight for x1 b*1 b1a s1 syb.