A die is a mechanical device designed to provide an equal probability that, when rolled, any of the six sides will face upward when the die comes to rest.
You mission, should you choose to accept it, will be to first 'cook' your own die, perform some trials then 'freeze' your die and roll some more. Depending on your results, you will join the 'winners' or 'losers' group, do some more trials and then analyse the results.
To perform the experiment (detailed below), requires
NOTE: NEVER EXPERIMENT WITH HEAT UNLESS YOU HAVE ADULT TO HELP YOU
To reduce risk of burning, this experiment will use hot water in a mug istead of an oven and baking tray to soften the dice. This will reduce the efficacy, but the bias will be significant over a reasonable number of trials (30 or more).
Video 1. Eureka - Heat Versus Temperature
Traditional six sided dice are still used in a huge range of games where multiple random outcomes are required to be provided in a fair and predictable way.
Over the centuries, many people have tried different ways to 'load' a die, to make it fall more often on a number of their choice.
In this experiment, you will learn how to use HEAT to affect the odds - or to do what is known as 'loading' the dice in your favour.
A 'loaded' die, also known as a 'weighted', 'cooked' or 'crooked' die, can be used to amaze, confuse, or to conquer your friends (or enemies).
By altering the weight distribution in a die, you can get it to land more often on the side of your choice. See How To Load & Test Dice.
Source: http://www.onlinecraps.net/craps/cheating/loading-dice/weighted/ and http://www.ehow.com/how_4494964_make-trick-dice.html
A number of dice will be 'cooked' (see above) to bias the probability in favour of the number 'one'
Our 'null hypothesis' is that the probability of predicting the outcome of a 'cooked' dice roll will NOT be significantly different from dice that have been 'frozen' with the opposite face pointing upwards.
Our hypothesis is designed to compare results where:
Do not use an oven: You may get burnt or end up with melted plastic everywhere
Do not use a microwave: A microwave will not melt the die the correct way and will most likely warp the plastic and make it unplayable. It's also dangerous.
You MUST get assistance from a teacher/adult:
This should heat and soften the plastic enough to change the shape/balance of the die. The number that was facing up, out of the mug/cup should occur slightly more often than the other numbers when the die is rolled over a large number of trials.
Our experiment will compare two sets of dice: One 'cooked' set and one 'frozen' set.
We will start by 'cooking' a number of dice and use a whiteboard marker or similar pen to mark the 'one' face with a number which can be used to uniquely identify each die (this will be used later to allocate the die and record ownership by nominated trial group/person).
Run a number of dice rolling trials as per the procedure listed below and record your results.
There are two parts to the trial: See 'Part 1' and 'PART 2' below:
For Part-1, a minimum of ten trials should be run for each die (a total of forty or more rolls is desirable).
For Part-2, a minimum of ten trials should be run for each die (a total of forty or more rolls is desirable).
Using the results from Part-1 above, divide the 'Part-1' experimenters into two new groups:
On completion of the minimum number of trials (as defined above), the new results must be added to the spreadsheet so that these results can be clearly differentiated but compared accurately with the earlier trial results.
Name | Group | Die ID | Die roll result | Temp TOP | Temp Bot | Win=1 or Lose=0 |
---|---|---|---|---|---|---|
Rhonda | N/A | 1 | 3 | 25.1C | 25.1 C | 0 |
Arthur | N/A | 2 | 1 | 25.2C | 25.1 C | 1 |
Fred | N/A | 3 | 2 | 26.1C | 25.0 C | 0 |
Jill | N/A | 4 | 2 | 26.1C | 25.2 C | 0 |
Jan | N/A | 5 | 1 | 25.2C | 25.1 C | 1 |
Rhonda | N/A | 1 | 3 | 25.1C | 25.1 C | 0 |
Arthur | N/A | 2 | 1 | 25.2C | 25.1 C | 1 |
Fred | N/A | 3 | 2 | 26.1C | 25.0 C | 0 |
Jill | N/A | 4 | 2 | 26.1C | 25.2 C | 0 |
Jan | N/A | 5 | 1 | 25.2C | 25.1 C | 1 |
Name | Group | Die ID | Die roll result | Temp TOP | Temp Bot | *Win=1 or Lose=0 |
---|---|---|---|---|---|---|
Arthur | winner | 2 | 4 | 11.1C | 9.3 C | 0 |
Fred | loser | 3 | 1 | 10.3C | 9.0 C | 1 |
Rhonda | loser | 1 | 2 | 15.6C | 16.9 C | 0 |
Rhonda | loser | 4 | 1 | 15.6C | 18.0 C | 1 |
Jan | winner | 5 | 1 | 25.2C | 25.1 C | 1 |
Arthur | winner | 2 | 4 | 11.1C | 9.3 C | 0 |
Fred | loser | 3 | 1 | 10.3C | 9.0 C | 1 |
Rhonda | loser | 1 | 2 | 15.6C | 16.9 C | 0 |
Rhonda | loser | 4 | 1 | 15.6C | 18.0 C | 1 |
Jan | winner | 5 | 1 | 25.2C | 25.1 C | 1 |
On completion of the data entry, each group must provide a written discussion, summary and conclusion.
In summary, what would you change or what new experiment do you think should be performed to improve this experiment?
Neuroscience Survey
Copied From Source (see 'Creative Commons' copyright notice at end of this page:
Also see:
Video 1. Veritasium - Punishment Vs Reward & Regression to the mean
Unfortunately, much of the effect claimed by alternative medicine can often be explained simply as regression to the mean: When Aunt Jane's acne gets better after rubbing mint leaves on her face, that's “anecdotal evidence” based almost entirely on regression to the mean. Many symptoms will come and go in an apparently random fashion if recorded in an objective way - headaches, for example, tend to disappear without the aid of any treatment over time. People seek treatment when their symptoms are particularly severe, when they are at their respective “top”.
Regression to the mean, therefore, suggests that if symptoms are excessively severe this week, then next week they should be less severe simply by random fluctuations. If treatment is only sought when these symptoms are at their worst there will almost always be a coincidental recovery. This appears even if the treatment has no effectiveness whatsoever.
A placebo control group in a controlled trials removes the effect of regression to the mean. Both groups, on average, experience a tendency to regress to the mean. If the treatment group shows a statistically significant increase in the speed that symptoms regress, it can be attributed to the effects of the treatment, not the placebo effect or regression to the mean
In statistics, regression toward (or to) the mean is the phenomenon that if a variable is extreme on its first measurement, it will tend to be closer to the average on its second measurement—and if it is extreme on its second measurement, it will tend to have been closer to the average on its first. To avoid making incorrect inferences, regression toward the mean must be considered when designing scientific experiments and interpreting data.