Statistics

Description

Mind Map on Statistics, created by ldalcala on 28/08/2014.
ldalcala
Mind Map by ldalcala, updated more than 1 year ago
ldalcala
Created by ldalcala over 11 years ago
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Resource summary

Statistics
  1. Basic concepts (for examples)
    1. Population
      1. Sample
        1. Identified variable
          1. Type of variable
            1. Data
              1. Parameter
                1. Statistics
                2. Measurement scales
                  1. Nominal: Measurement property. Descriptive, no inherent numerical value. E.g. Gender.
                    1. Ordinal: Identity and magnitude properties. Values have unique valus and an ordered relation between them. E.g. Results from competition.
                      1. Interval: Identity, magnitude and equal intervals properties. Know wether different values are bigger or smaller and how much different they are. E.g. Fahrenheit 50°-60°=40°-50°
                        1. Ratio: Identity, magnitude, equal intervals and minimum value of 0 properties. E.g. Weight of an object. (All properties together.)
                        2. Sampling methods
                          1. Non-probability
                            1. Voluntary: People self-select for the survey. (Web surveys)
                              1. Convenience: Made up of people easy to reach.
                                1. Quota: A defined sample chosen out form a sub-group by the surveyer.
                                2. Probability
                                  1. Systematic: Every possible sample of n elements is not equally likely.
                                    1. Cluster: Clusters are groups randomly created where only individuals within are survyed.
                                      1. Stratified: Population is divided in strata which are the characteristics the surveyer looks for.
                                        1. Simple random:With population N and sample n, all n objects are equally likely to occur. (Lottery)
                                      2. Visual displays of data
                                        1. Displays:
                                          1. Line graphs
                                            1. Circle graphs
                                              1. Bar graphs
                                                1. Stem and leaf
                                                  1. Histogram
                                                  2. Frecuency distribution
                                                    1. Frequency: number of times corresponding item occurs in data set.
                                                      1. Fraction ot percentage of the data set represented by the item.
                                                        1. Grouped frequency distribution: Make each data item will fit only into one class; make all classes the same width; Make sure classes do not overlap; use from 5-12 classes.
                                                      2. Measures of central tendency
                                                        1. Median: (n+1)/2, ordered from least to most.
                                                          1. Mode: Value that occurs most often
                                                            1. Mean: sum of all items between the number of these.
                                                              1. Wieghted mean
                                                              2. Measures of dispersions
                                                                1. Standar deviation
                                                                  1. Range: Greatest value-least value
                                                                    1. Chebyshev's theorem
                                                                      1. Coefficient of variation
                                                                      2. Measures of position
                                                                        1. Z-score: Standar score
                                                                          1. Decile: D1, D2...D1O Quartile: Q1, Q2, Q3, Q4 Percentile: 1% to 100%
                                                                            1. Box plot
                                                                            2. Luis David Alcalá Díaz A01400383
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