n
n Stemplot DELTA
d
nd various
1
- 2
[s�p(1/n1+1/n2)]
X2 of n2
1
- 2
Ideas: measurement types (quantitative, ordinal, categorical), measurement validity, data structure (variables, values, observations), sampling (including SRS), probability, the binomial distribution, Normal distribution, the sampling distribution of a mean, the sampling distribution of a proportion.
Descriptive and exploratory methods: stemplot, frequency tables, mean and standard deviation (descriptive statistics), 5 point summaries, boxplots
Inferential techniques:
| Unit | EDA | Parameter | Point estimate | Standard Error (SE) | Null hypothesis |
| 5 & 6: Single mean, s not known | Stemplot | � | |
SE = s
/
n
|
H0: � = �0 |
| 5 & 6: Inference about a mean, s not known | Stemplot | � |
|
se = s / n |
H0: � = �0 |
| 7: Paired samples, mean difference |
Stemplot DELTA |
�d | d
|
sed = sd
/ nd |
H0: �d = 0 |
| 8: Independent samples, mean dif. |
various |
�1 - �2 | 1
- 2
|
sexbar1-xabar2
= [s�p(1/n1+1/n2)] |
H0: �1 = �2 |
| 9: Inference about a proportion | X of n | p | |
Use plus-four method | H0: p = p0 |
| 9.5: Comparison of proportions | X1
of n1 and X2 of n2 |
p1 - p2 | 1
- 2
|
Use plus-four method | H0: p1= p2 |
Confidence interval formula: (point estimate) � (z or t)(SE)
Test statistic formula: zstat or tstat = (point estimate) / SE