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Mad Scientist (Statistics)

The F-test is a type of significance test. Which compares the standard deviations of two samples in order to determine if the standard deviations of their parent populations are equal. We give the standard deviations of the populations the symbols σ. We give the standard deviations of the samples the symbols s 1. The hypothesis in an F-test are:. The test statistic (F) is given by:. To find at what level your data is significant you can look at a table of F distribution critical values. ( some here.

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The F-test is a type of significance test. Which compares the standard deviations of two samples in order to determine if the standard deviations of their parent populations are equal. We give the standard deviations of the populations the symbols σ. We give the standard deviations of the samples the symbols s 1. The hypothesis in an F-test are:. The test statistic (F) is given by:. To find at what level your data is significant you can look at a table of F distribution critical values. ( some here.
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Mad Scientist (Statistics) | madscientiststats.blogspot.com Reviews

https://madscientiststats.blogspot.com

The F-test is a type of significance test. Which compares the standard deviations of two samples in order to determine if the standard deviations of their parent populations are equal. We give the standard deviations of the populations the symbols σ. We give the standard deviations of the samples the symbols s 1. The hypothesis in an F-test are:. The test statistic (F) is given by:. To find at what level your data is significant you can look at a table of F distribution critical values. ( some here.

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Mad Scientist (Statistics): November 2007

http://madscientiststats.blogspot.com/2007_11_01_archive.html

The F-test is a type of significance test. Which compares the standard deviations of two samples in order to determine if the standard deviations of their parent populations are equal. We give the standard deviations of the populations the symbols σ. We give the standard deviations of the samples the symbols s 1. The hypothesis in an F-test are:. The test statistic (F) is given by:. To find at what level your data is significant you can look at a table of F distribution critical values. ( some here.

2

Mad Scientist (Statistics): Robustness

http://madscientiststats.blogspot.com/2007/10/robustness.html

Is robust if it still produces roughly accurate results when the conditions for its use are not met. Procedures can have different degrees of robustness against different influences. Robustness can be influenced by a number of factors, e.g. the number of observations in the samples used for the procedures. Posted by Chris @ 12:01 PM. Tuesday, October 23, 2007.

3

Mad Scientist (Statistics): Power of a Test

http://madscientiststats.blogspot.com/2007/11/pwer-of-test.html

Power of a Test. The power of a significance test. Against a particular H a. Is the probability of it rejecting H 0. When that H a. Is true. To find this probability we do the following: (for a one-sample t). Using the normal steps of a significance test find out which values of t will lead us to reject H 0. Eg reject H 0. Rearrange the one-sample test statistic to work out what values x. Needs to take for us to reject H 0. Eg if t 3 then:. Find the probability of x. Taking such values if H a.

4

Mad Scientist (Statistics): October 2007

http://madscientiststats.blogspot.com/2007_10_01_archive.html

Confidence Intervals for Population Means. Confidence intervals are a type of statistical inference. Where we create an interval using data from a sample and estimate the probability that some population parameter is found within (captured by) that interval. Intervals are often described in the form "the interval a b" (which means the interval from a - b to a b.). A level C confidence interval. For a parameter is an interval which has a C percent chance of capturing that parameter. Of its mean ( µ).

5

Mad Scientist (Statistics): Matched Pairs Inference

http://madscientiststats.blogspot.com/2007/11/matched-pairs-inference.html

One-sample t-procedures can be used for inference on matched pairs experiments. The one-sample t-procedures are used on the differences between the subjects of the pairs. This effectively turns the matched pairs data into a single sample. Two-sample t-procedures cannot be used for inference on matched pairs experiments because the samples are not independent. Posted by Chris @ 8:58 PM. Friday, November 23, 2007.

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Mad Scientist (Chemistry): June 2007

http://madscientistchem.blogspot.com/2007_06_01_archive.html

When we wish to observe a change in something we can describe that thing as a 'system'. Everything else relevant to our observations of that system is it's 'surroundings'. The internal energy(E) of a system is the sum of the potential and kinetic energies of all its particles. When energy is transferred between a system and its surroundings it is always transferred in the form of work and/or heat. Work(w) is the energy transferred when a force moves an object. Where = 'change in'. Saturday, June 30, 2007.

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Mad Scientist (Chemistry): July 2007

http://madscientistchem.blogspot.com/2007_07_01_archive.html

When a substance is heated, its change in temperature( T). Is proportional to the quantity of heat energy it absorbs(q), thus:. Q/ T = constant. The value of this constant is different for each substance and is called that substance's 'heat capacity'. The specific heat capacity(c) of a substance is the amount of heat energy required to raise 1 gram of that substance by 1 degree kelvin. C = q/(mass * T). C = q/(moles * T). Posted by Chris @ 3:59 pm. Thursday, July 05, 2007. How is it used? In reactions su...

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Mad Scientist (Chemistry): Enthalpy

http://madscientistchem.blogspot.com/2007/07/enthalpy.html

Enthalpy(H), or 'heat content,' is a variable that describes the thermodynamic potential(hence 'heat content') of a system. The enthalpy of a system is defined as its internal energy plus the product of the pressure on it(P) and its volume(V). How is it used? In many reactions the only type of work done is that of a newly formed gas expanding and pushing back the atmosphere. This is called PV work, and is equal to the product of the pressure of the atmosphere and the change in volume of the gas.

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Mad Scientist (Chemistry): The Food Chain

http://madscientistchem.blogspot.com/2007/06/true-food-chain.html

I'm just testing image posting.). Posted by Chris @ 11:01 am. Monday, June 25, 2007. Enter your search terms. Colligative Properties of Solutions. Conduction and Band Theory.

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Mad Scientist (Chemistry): Nuclear Charge

http://madscientistchem.blogspot.com/2007/06/nuclear-charge.html

The nuclear charge, Z, of an atom's nucleus is the total charge of all the protons it contains (the same as its atomic number.) Lower orbital electrons can in effect "shield" higher orbital electrons from some of the positive charge of the nucleus, changing the Z that higher orbital electrons 'perceive'. Effective nuclear charge, Z. Is the net positive charge of the nucleus as perceived by an electron. Posted by Chris @ 11:31 am. Monday, June 25, 2007. Enter your search terms. Conduction and Band Theory.

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Mad Scientist (Chemistry): Periodic Table

http://madscientistchem.blogspot.com/2007/06/periodic-table.html

Click image for full size version. Posted by Chris @ 11:11 am. Monday, June 25, 2007. Enter your search terms. Colligative Properties of Solutions. Conduction and Band Theory.

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Mad Scientist (Chemistry): Energy

http://madscientistchem.blogspot.com/2007/06/energy.html

When we wish to observe a change in something we can describe that thing as a 'system'. Everything else relevant to our observations of that system is it's 'surroundings'. The internal energy(E) of a system is the sum of the potential and kinetic energies of all its particles. When energy is transferred between a system and its surroundings it is always transferred in the form of work and/or heat. Work(w) is the energy transferred when a force moves an object. Where = 'change in'. Saturday, June 30, 2007.

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Mad Scientist (Chemistry): Colligative Properties of Solutions

http://madscientistchem.blogspot.com/2006/09/colligative-properties-of-solutions.html

Colligative Properties of Solutions. Colligative means collective.). Properties of a solution are influenced by the number of solute particles present. 1 VP (Vapor Pressure) is lowered. 2 BP (Boiling Point) is elevated. 3 FP (Freezing Point) is lowered. 4 OP (Osmotic Pressure) is increased. Volatility is the tendency of a substance to become a gas.). Electrolytes are a mixture of ions that when dissolved in solution conduct a current.). When a nonvolatile nonelectrolyte substance is dissolved in solution:.

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Mad Scientist (Chemistry): September 2006

http://madscientistchem.blogspot.com/2006_09_01_archive.html

Atomic size increases down the groups as more protons are added to the nucleus and higher electron energy levels are filled. It decreases from left to right across the periods as the same electron energy level is filled and the larger nucleus pulls the electrons closer. (Electron shielding lowers Z eff. Less than increasing numbers of protons in the nucleus raises it). Group 1 (Alkali Metals). In their periods they have the lowest molar mass, the largest atomic size, and (thus) the lowest density. Despit...

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Mad Scientist (Statistics)

The F-test is a type of significance test. Which compares the standard deviations of two samples in order to determine if the standard deviations of their parent populations are equal. We give the standard deviations of the populations the symbols σ. We give the standard deviations of the samples the symbols s 1. The hypothesis in an F-test are:. The test statistic (F) is given by:. To find at what level your data is significant you can look at a table of F distribution critical values. ( some here.

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