Zusammenfassung der Ressource
Edexcel S1 Topic Map
- Correlation, Regression
- PMCC
- Coding
- Interpretation
- eXplanatory, response
- meaning of correlation in context
- gradient: for every extra 1 in x,
you get an extra m in y
- intercept: when x is zero,
y is expected to be c
- Extrapolation
- Summary Statistics
- Standard Deviation
- Variance
- Mean
- Estimate from Grouped Data
- Median and Quantiles
- n+1 for individual items,
just n for grouped data
- Skew
- Formal definition
Anmerkungen:
- for positive:
o (Q2-Q1) < (Q3-Q2), i.e. right side of box fatter
o OR mean > median > mode, i.e. the lump of the mode happens early on, then there's more spread on the positive side
o 3(mean - median) / sd
- Outliers: 1.5xIQR away from quartiles
- Interpolation
Anmerkungen:
- it's basically about how far through the relevant class our wanted figure is.:
(how many items into this group) / (frequency of this group) x class width + class lower bound
- When Comparing Data,
USE YOUR ASS!
Anmerkungen:
- Comment on:
o averages (whichever is handy)
o spread (sd, iqr, range)
o skew
use proper statistical names for things, not just "average" or "spread"
- Graphs and Charts
- Stem and leaf
- Histogram
- Cumulative Frequency
- Curve for continuous, "steps" for discrete
- Box plots
- Probability
- Discrete Random Variables
- Expectation and Variation
- Expectation Algebra,
Var(aX+b), E(aX+b)
- Cumulative Probability F(x)
- simultaneous equations,
use sum of p = 1
- Normal distribution
- Two sketches every time
- Mapping ("bridge") equation: z=(x-mu)/sd
- if mean and sd missing, set
up two bridge equations
- if you have a prob. or a
%, do reverse-lookup in
tables to get z value
- Trees
- Venn Diagrams
- Work from the
intersections
outwards, P(A) means the whole circle
- Remember the BOX
- GIVEN THAT means DENOMINATOR
- Independent events: P(A) x P(B) = P(AnB)