Statistics Demonstrations

George Sturr, 14 kwi 2014

Spis treści

  1. One Variable Statistics
    1. AQR Section 17: Mean but Sensitive
    2. AQR Section 6: Weighted Average Exploration
    3. AQR Section 16: Five Number Summary Exploration
    4. AQR Section 17: Where's the Mean?
    5. AQR Section 17: Which Histogram has more Variation?
    6. AQR Section 16: Matching a Pie Chart to a Dot Plot
    7. Measures of Center Comparison
  2. Two Variable Statistics
    1. Guess the Correlation!
    2. Polynomial Curve Fit
    3. Sampling from a population of ordered pairs
    4. Sensistive r
    5. Least Squares Demonstration
  3. Simulations
    1. Repeated Coin flips
    2. Coin Flip Simulation
    3. Dice Roll Sums and Averages
    4. Dice Roll Simulation
    5. Bag of Marbles
    6. acertar en la diana - 3
  4. Probability Distributions
    1. Normal Curve Demonstration
    2. Binomial Distribution with Normal Approximation
    3. Student-t vs. Z
    4. Normal Approximation of Proportion Sampling Distribution
    5. Compare Z and T Statistics
  5. Randomizers
    1. Playing Card Dealer
    2. Create Random Integer Lists
    3. Spinner
    4. Non-transitive Spinners
    5. Flipping 5 Coins
  6. Other
    1. Chaos Game

1.

One Variable Statistics

  • 1. AQR Section 17: Mean but Sensitive
  • 2. AQR Section 6: Weighted Average Exploration
  • 3. AQR Section 16: Five Number Summary Exploration
  • 4. AQR Section 17: Where's the Mean?
  • 5. AQR Section 17: Which Histogram has more Variation?
  • 6. AQR Section 16: Matching a Pie Chart to a Dot Plot
  • 7. Measures of Center Comparison

1.1.

AQR Section 17: Mean but Sensitive

The mean is a measure of center and [color=#0a971e]balance point[/color] for a distribution. Below is a distribution of 11 data points. Move the [color=#1551b5]blue point[/color] to see how the mean responds to changing this single value within the distribution.[br][br]Use the [b]New Data Set[/b] button, to try this action for several distributions.
Is the mean a [b]resistant measure[/b] of center for a distribution?[br]Is the mean sensitive to a substantial change in the movable [color=#1551b5]blue value[/color]?
– Steve Phelps

1.2.

–

1.3.

–

1.4.

–

1.5.

–

1.6.

–

1.7.

–

2.

Two Variable Statistics

  • 1. Guess the Correlation!
  • 2. Polynomial Curve Fit
  • 3. Sampling from a population of ordered pairs
  • 4. Sensistive r
  • 5. Least Squares Demonstration

2.1.

Guess the Correlation!

Guess the correlation of the random scatter plot!
– Steve Phelps

2.2.

–

2.3.

–

2.4.

–

2.5.

–

3.

Simulations

  • 1. Repeated Coin flips
  • 2. Coin Flip Simulation
  • 3. Dice Roll Sums and Averages
  • 4. Dice Roll Simulation
  • 5. Bag of Marbles
  • 6. acertar en la diana - 3

3.1.

Repeated Coin flips

– George Sturr

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

4.

Probability Distributions

  • 1. Normal Curve Demonstration
  • 2. Binomial Distribution with Normal Approximation
  • 3. Student-t vs. Z
  • 4. Normal Approximation of Proportion Sampling Distribution
  • 5. Compare Z and T Statistics

4.1.

Normal Curve Demonstration

Drag the sliders to see how changing the mean and standard deviation changes the normal curve.
– George Sturr

4.2.

–

4.3.

–

4.4.

–

4.5.

–

5.

Randomizers

  • 1. Playing Card Dealer
  • 2. Create Random Integer Lists
  • 3. Spinner
  • 4. Non-transitive Spinners
  • 5. Flipping 5 Coins

5.1.

Playing Card Dealer

Click to get a random hand of cards from a shuffled deck of 52 standard playing cards.
– George Sturr

5.2.

–

5.3.

–

5.4.

–

5.5.

–

6.

Other

  • 1. Chaos Game

6.1.

Chaos Game

Creates an image based on the Chaos Game [url=http://en.wikipedia.org/wiki/Chaos_game]wikipedia[/url] [url=http://mathworld.wolfram.com/ChaosGame.html]Wolfram[/url][br]It takes a random point in the polygon and then translates it by a fixed fraction of the distance to one of the vertices chosen at random. This iteration is repeated.[br]Sides gives the number of sides in the polygon[br]Points is the number of points per iteration[br]Fraction sets the fraction[br]Speed adjusts the animation speed[br]The default settings produce the Sierpinski Triangle
Chaos Game
– slik

Informacja