Edexcel S1 Topic Map

Descrição

A reminder of all the ideas, topics, techniques required for the Edexcel S1 (Statistics 1) module.
Felix Ulrich-Oltean
Mapa Mental por Felix Ulrich-Oltean, atualizado more than 1 year ago
Felix Ulrich-Oltean
Criado por Felix Ulrich-Oltean mais de 10 anos atrás
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Resumo de Recurso

Edexcel S1 Topic Map
  1. Correlation, Regression
    1. PMCC
      1. Coding
      2. Interpretation
        1. eXplanatory, response
          1. meaning of correlation in context
            1. gradient: for every extra 1 in x, you get an extra m in y
              1. intercept: when x is zero, y is expected to be c
              2. Extrapolation
              3. Summary Statistics
                1. Standard Deviation
                  1. Variance
                  2. Mean
                    1. Estimate from Grouped Data
                    2. Median and Quantiles
                      1. n+1 for individual items, just n for grouped data
                        1. Skew
                          1. Formal definition

                            Anotações:

                            • 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
                          2. Outliers: 1.5xIQR away from quartiles
                            1. Interpolation

                              Anotações:

                              • 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
                            2. When Comparing Data, USE YOUR ASS!

                              Anotações:

                              • 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"
                            3. Graphs and Charts
                              1. Stem and leaf
                                1. Histogram
                                  1. Cumulative Frequency
                                    1. Curve for continuous, "steps" for discrete
                                    2. Box plots
                                    3. Probability
                                      1. Discrete Random Variables
                                        1. Expectation and Variation
                                          1. Expectation Algebra, Var(aX+b), E(aX+b)
                                          2. Cumulative Probability F(x)
                                            1. simultaneous equations, use sum of p = 1
                                            2. Normal distribution
                                              1. Two sketches every time
                                                1. Mapping ("bridge") equation: z=(x-mu)/sd
                                                  1. if mean and sd missing, set up two bridge equations
                                                  2. if you have a prob. or a %, do reverse-lookup in tables to get z value
                                                  3. Trees
                                                    1. Venn Diagrams
                                                      1. Work from the intersections outwards, P(A) means the whole circle
                                                        1. Remember the BOX
                                                        2. GIVEN THAT means DENOMINATOR
                                                          1. Independent events: P(A) x P(B) = P(AnB)

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