|
| |
| | CHAPTER 9 BETWEEN-SUBJECTS FACTORIAL DESIGNS |
 | | The second part of the chapter concerns shorthand notation and strategies for describing design variables. | | | They review the advantages of using these more complex designs, which include efficiency and measurement of interactions. | | | Shorthand notation uses numbers to describe a factorial design (e.g., 2 X 2 factorial design). |
|
http://www2.truman.edu/shaffer/266ch9_2002.htm
(937 words)
|
|
| |
| | PlanetMath: falling factorial |
| | The notation for the rising factorial varies widely; we find | | | This is version 8 of falling factorial, born on 2002-02-19, modified 2004-07-06. | | | to denote the rising factorial and use this symbol in the description of the various flavours of hypergeometric series. |
|
http://planetmath.org/encyclopedia/RisingFactorial.html
(322 words)
|
|
| |
| | AskOxford: factorial |
| | 4 &mul; 3 &mul; 2 &mul; 1 (factorial 4, denoted by 4! | | | • adjective relating to a factor or factorial. |
|
http://www.askoxford.com/concise_oed/factorial?view=uk
(117 words)
|
|
| |
| | Fast Factorial Functions |
| | FastFactorialFunctions: The Homepage of Factorial Algorithms, Peter Luschny, Copyright 2000-2006 | | | There are three algorithms which everyone who wants to compute the factorial n! | | | The algorithm Prime-Swing, because it is the (asymptotical) fastest algorithm known to compute n!. |
|
http://www.luschny.de/math/factorial/FastFactorialFunctions.htm
(150 words)
|
|
| |
| | February 1992/Arithmetic In Factorial-Base |
| | Arrange things so that references begin at array[1], rather than at array[0], and the subscripts track the factorial places | | | To represent the real number 231 + 1/3, some scheme is needed to keep track of both parts. | | | Any rational number can be represented exactly in a number system based, not on increasing powers of a particular number (e.g., 10 |
|
http://www.tcnj.edu/~hernande/cujv5/html/10.02/hegeman/hegeman.htm
(1673 words)
|
|
| |
| | The Top Twenty: Factorial |
| | The chronology of prime number records' Factorial/Primorial Prime Records by year | | | Both forms have been tested to n=10000 [CG2000]. | | | Factorial primes come in two flavors: factorial plus one: n!+1, and factorial minus one: n!-1. |
|
http://primes.utm.edu/top20/page.php?id=30
(198 words)
|
|
| |
| | Factorial - Wikipedia, the free encyclopedia |
| | Factorials are also used extensively in probability theory. | | | A common related notation is to use multiple exclamation points to denote a multifactorial, the product of integers in steps of two (n!!), three (n!!!), or more. | | | The logarithm of the factorial can be used to calculate the number of digits in a given base the factorial of a given number will take. |
|
http://en.wikipedia.org/wiki/Factorial
(1184 words)
|
|
| |
| | Factorial Designs |
| | Sometimes we depict a factorial design with a numbering notation. | | | In this notation, the number of numbers tells you how many factors there are and the number values tell you how many levels. | | | The number of different treatment groups that we have in any factorial design can easily be determined by multiplying through the number notation. |
|
http://www.socialresearchmethods.net/kb/expfact.htm
(1421 words)
|
|
| |
| | Introduction. |
| | Each time that a recursive call is made by the algorithm in A the animation is updated thus animating the action of the algorithm. | | | This animation shows pictorially how this algorithm finds the factorial of a given number. | | | In mathematical notation factorial is represented by the symbol ! |
|
http://www.iol.ie/~jmchugh/csc302/simple/fact
(376 words)
|
|
| |
| | Factorial experiment - Wikipedia, the free encyclopedia |
| | A factorial experiment can be analyzed using regression analysis. | | | The factorial points can also be abbreviated by (1), a, b, and ab, where the presence of a letter indicates that the specified factor is at its high (or second) level and the absence of a letter indicates that the specified factor is at its low (or first) level. | | | Factorial experiments can be used when there are more than two levels of each factor. |
|
http://en.wikipedia.org/wiki/Factorial_experiment
(681 words)
|
|
| |
| | PSY290AC - Lesson 8 |
| | The first independent variable has two levels (indicated by the number 2) and the second independent variable has three levels (indicated by the number 3). | | | You have not looked at a design such as the mixed factorial design, so let's look at it in a little more detail. | | | Identify the measurement scale for each dependent variable. |
|
http://www.rio.maricopa.edu/classes/psy/psy290ac/011303/lessons/lesson08.shtml
(1895 words)
|
|
| |
| | Factorial |
| | It is! But the EL-9600 can only do up to the factorial of 69, 70 is to high for it to calculate. | | | This is the problem: The EL-9600 is only programmed to do up to X*10e99, any number of factorial over 69 will exceed the limit of the 99 max exponent. | | | You will probably be thinking to yourself right now that the EL-9600 is preprogrammed to do factorials. |
|
http://www.angelfire.com/ca/cdrmrc/Factorial.html
(192 words)
|
|
| |
| | factorial |
| | Factorial is often used as a (poor) example of recursion, since n! | | | Paul E. Black, "factorial", from Dictionary of Algorithms and Data Structures, Paul E. Black, ed., NIST. | | | Go to the Dictionary of Algorithms and Data Structures home page. |
|
http://www.nist.gov/dads/HTML/factorial.html
(106 words)
|
|
| |
| | Factorial Limited Multimedia and Web Site Development |
| | Factorial is a design and production studio founded in 1999 by principals Daniel Deverell, Jonathan Schnapp, and Kris Luhrssen. | | | A few of these projects are still in use and more than a few of them can still make me chuckle. | | | When I first started Factorial I was known for creating CD-ROMs and video for marketing purposes. |
|
http://factorial.net
(183 words)
|
|
| |
| | Factorial Frequencies |
| | The input data for the program is simply a list of integers for which the digit counts are desired. | | | In an attempt to bolster her sagging palm-reading business, Madam Phoenix has decided to offer several numerological treats to her customers. | | | As she expects to use either the day of the week, the day of the month, or the day of the year as the value of n, you must be able to determine the number of occurrences of each decimal digit in numbers as large as 366 factorial (366!), which has 781 digits. |
|
http://acm.uva.es/p/v3/324.html
(287 words)
|
|
| |
| | Factorial Algorithm |
| | In mathematics there is the concept of the factorial of a number. | | | They are symbolised like this n!, pronounced n factorial (or factorial n). | | | Factorial is often used as a (very poor) example of recursion since n! |
|
http://portal.newman.wa.edu.au/technology/12infsys/html/KWH2003/SBP6Fact.htm
(1064 words)
|
|
| |
| | The Factorial Tutorial |
| | The conventional mathematical notation for the factorial of n is | | | This use of E can be beneficial in the case where there is a math server available that could compute the function while the requestor goes on doing other useful work. | | | The next example uses iteration to produce the product of all of the counting numbers up to |
|
http://www.crockford.com/ec/factorial.html
(930 words)
|
|
| |
| | Two Way ANOVA |
| | Furthermore, the analysis would show that the two control groups were not significantly different at any age. | | | Although the number of subjects is the same in both designs, with the factorial design, we obtain the additional information about the relationship of previous experience with the drug to memory performance. | | | This is an example of a 2x2 factorial design with 4 groups (or cells), each of which has 5 subjects. |
|
http://www.uwsp.edu/psych/stat/13/anova-2w.htm
(3497 words)
|
|
| |
| | PlanetMath: factorial |
| | This is version 14 of factorial, born on 2001-10-26, modified 2004-12-15. | | | (Number theory :: Sequences and sets :: Binomial coefficients; factorials; $q$-identities) | | | In this way the notion of factorial can be generalized to all complex values except the negative integers. |
|
http://planetmath.org/encyclopedia/Factorial.html
(98 words)
|
|
| |
| | Numbers: glossary |
| | Factorials are useful in working out the number of different ways you can arrange things. | | | Factorials of other numbers are calculated in the same way. | | | Factorial n is the number of ways n things can be arranged in a line. |
|
http://richardphillips.org.uk/number/gl/facto.htm
(187 words)
|
|
| |
| | Prolog Tutorial -- 2.2 |
| | All of the arithmetic leaves are true by evaluation (under the intended interpretation), and the lowest link in the tree corresponds to the very first clause of the program for factorial. | | | The title of this section referred to two factorial definitions. | | | Exercise 2.2.1 Using the first factorial program, show explicitly that there cannot possibly be an clause tree rooted at 'factorial(5,2)' having all true leaves. |
|
http://www.csupomona.edu/~jrfisher/www/prolog_tutorial/2_2.html
(813 words)
|
|
| |
| | factorial |
| | Figure 1a shows the factorial design, and Figure 1b shows the first, second and third order interactions. | | | A two-level, full factorial design consists of 2k experiments where k is the number of factors each with a high and low value. | | | From these values, the true effects can be separated from the effects which are within the experimental error. |
|
http://www.virginia.edu/cese/vol1/paper4/factor.htm
(507 words)
|
|
| |
| | GLM: 2-way factorial |
| | On the other hand, GLM is a very general procedure that can analyze nearly any analysis of variance design. | | | You can use GLM to analyze planned comparisons. | | | This set of notes describes the GLM procedures rather than the Simple Factorial procedure. |
|
http://web.uccs.edu/lbecker/SPSS80/glm_2way_80.htm
(5385 words)
|
|
| |
| | Factorial Analysis of Variance |
| |
The Factorial ANOVA task enables you to perform an analysis of variance when you have multiple classification variables. | | | The F statistic of 15.37 indicates that the model as a whole is highly significant (the p-value is less than 0.0001). | | | Suppose you want to compare ozone levels for each day of the week and for each factory workshift. |
|
http://www.okstate.edu/sas/v8/sashtml/analyst/chap10/sect4.htm
(598 words)
|
|
| |
| | Factorial and Gamma Functions |
| | is a bigfloat version of the factorial function. | | | gives the highest factorial which is automatically expanded. |
|
http://starship.python.net/crew/mike/maxima/html/macref/node24.html
(441 words)
|
|
| |
| | 5.3.3.4. Fractional factorial designs |
| | Which runs to make and which to leave out is the subject of interest here. | | | Fractional factorials where some factors have three levels will be covered briefly in Section 5.3.3.10. | | | The following sections will show you how to choose an appropriate fraction of a full factorial design to suit your purpose at hand. |
|
http://www.itl.nist.gov/div898/handbook/pri/section3/pri334.htm
(298 words)
|
|
| |
| | factorial randomness |
| | The article below is about the question: Is there factorial randomness in the sequence of natural numbers. | | | The factorial sequence is still a random sequence since there is no mathematical formula yet to calculate the factors of a given integer. | | | The answer is: Yes for now because the discribed results also indicate that there maybe a mathematical formula possible from wich you can calulate the factors from a given number. |
|
http://home.zonnet.nl/galien8/factor/factor.html
(1936 words)
|
|
| |
| | Halfbakery: Inverse Factorial '?' |
| | If you can make the leap to accepting factorials of non-natural numbers as a valid concept, then it would follow that should be inverse factorials for numbers that are not factorials of natural numbers. | | | 5th Earth, what you say is true for factorization, but factorials (whose factors follow a much more regular pattern than prime factors) surely do not pose a problem. | | | Maybe there should be new classes of numbers for ! |
|
http://www.halfbakery.com/idea/Inverse_20Factorial_20_27_3f_27
(672 words)
|
|
| |
| | Factorial ANOVA |
| | Factorial ANOVA increases the power by adding another factor. | | | A second factor is added to a one-way ANOVA design to increase power. | | | Error term: dfw = N - jk (N is total number of subjects, jk is the product of the number of groups, say 2x2=4) - recall, for a 1-way ANOVA it used to be N - j. |
|
http://carbon.cudenver.edu/~lsherry/rem/factorial_anova.html
(632 words)
|
|
| |
| | The Evolution of a Haskell Programmer |
| | Some time later, I came across Iavor’s "jokes" page, including a funny bit called “The Evolution of a Programmer” in which the traditional imperative "Hello, world" program is developed through several variations, from simple beginnings to a ridiculously complex extreme. | | | I attended Iavor’s excellent presentation and remarked that I found the end of the paper rather anti-climactic: after much categorical effort and the definition of several generalized recursion combinators, the main examples were the factorial and Fibonacci functions. | | | It is comforting to know that the Prelude ultimately uses a recursion combinator (foldl', the strict version of foldl) to define product. |
|
http://www.willamette.edu/~fruehr/haskell/evolution.html
(2890 words)
|
|
| |
| | The American Statistician: Plotting p(super k) factorial or p(super n-k) fractional factorial data.@ HighBeam Research |
| | The raw data are displayed in a tree structure where the order of the tree is determined by increasing sums of squares from an analysis of variance model. | | | `This article gives a plotting algorithm for viewing the data from [p.sup.k] factorial or [p.sup.n-k] fractional factorial experiments. | | | A computer code written is S that produces the factorial data plot is available from the author. |
|
http://www.highbeam.com/library/doc0.asp?DOCID=1G1:19027721&refid=ip_encyclopedia_hf
(235 words)
|
|
| |
| | 5.3.3.3. Full factorial designs |
| | TABLE 3.2 Number of Runs for a 2 | | | As shown by the above table, when the number of factors is 5 or greater, a full factorial design requires a large number of runs and is not very efficient. | | | A design with all possible high/low combinations of all the input factors is called a full factorial design in two levels. |
|
http://www.itl.nist.gov/div898/handbook/pri/section3/pri333.htm
(157 words)
|
|
| |
| | Factorial Analysis of Variance |
| | Three-way factorial analysis - three IVs and one DV. | | | One-way factorial analysis - one independent variable (IV) and one dependent variable (DV Two-way factorial analysis - two IVs and one DV. |
|
http://www.chsbs.cmich.edu/k_han/psy612/anova-twoway.htm
(519 words)
|
|
| |
| | Permutations |
| | and finally, 0=0 followed by zero factorials - a result of doing nothing. | | | So that computing it would take a lot of activity. |
|
http://www.cut-the-knot.org/do_you_know/permutation.shtml
(455 words)
|
|
| |
| | factorial |
| | [n] the product of all the integers up to and including a given integer; "1, 2, 6, 24, and 120 are factorials". |
|
http://lookwayup.com/lwu.exe/lwu/d?s=f&w=factorial
(22 words)
|
|
| |
| | Java: Example - Factorial |
| | This problem is often (inappropriately) used as a programming example, especially to show how to write recursive functions. | | | Even the iterative solution has problems because the large numbers that factorial generates cannot be represented in the limited range of integers, or limited precision of floating-point numbers. | | | Recursion is a great tool, but using it where it's not appropriate doesn't set a great example. |
|
http://leepoint.net/notes-java/data/numbers/60factorial.html
(269 words)
|
|
| |
| | The Prime Glossary: factorial |
| | The factorial of n is usually denoted n! | | | The factorial of a positive integer is the product of all the positive integers less than or equal to it. |
|
http://primes.utm.edu/glossary/page.php?sort=Factorial
(88 words)
|
|
| |
| | factorial - a Whatis.com definition |
| | The factorial is of interest to number theorists. | | | Mathematically, the formula for the factorial is as follows. | | | For an integer n greater than or equal to 1, the factorial is the product of all integers less than or equal to n but greater than or equal to 1. |
|
http://whatis.techtarget.com/definition/0,,sid9_gci945482,00.html
(206 words)
|
|
| |
| | ABC-Dir: Factorial |
| | The Collector's Problem and the Two-Dimensional Factorial (Popularity: | | | [Win] Co-Word Mapping, Cluster Analysis and FAC (factorial analysis of correspondence) software and glossary on Coocurrence and Graph Methods by... | | | On-line demonstration which runs an SAS program that calculates power or sample size needed to attain a given power for... |
|
http://www.abc-directory.com/view/factorial
(123 words)
|
|
| |
| | Factorial |
| | ' ---------------------------------------------------------------------- ' Calculate the factorial of a given number ' Variables used: ' n%... | | | Problem Statement: Write a FORTRAN program to calculate the factorial of a given number. | | | Problem Statement: Write a QBasic program to calculate the factorial of a given number. |
|
http://www.glue.umd.edu/~nsw/ench250/fact.htm
(204 words)
|
|
| |
| | Yan Tran's Factorial Calculator |
| | Click here to go back to the MAIN MENU | | | Enter number you wish to find the factorial of: |
|
http://www.cs.uml.edu/~ytran/factorial.html
(18 words)
|
|
| |
| | Factorial Design Analysis |
| | In this design, we have one factor for time in instruction (1 hour/week versus 4 hours/week) and one factor for setting (in-class or pull-out). | | | In two-way factorial designs like this, we have two main effects and one interaction. | | | The model uses a dummy variable (represented by a Z) for each factor. |
|
http://www.socialresearchmethods.net/kb/statfact.htm
(234 words)
|
|
| |
| | Fractional Factorial DOE |
| | A fractional factorial DOE is useful when the number of potential factors is relatively large because they reduce the total number of runs required. | | | A fractional factorial design of experiment (DOE) includes selected combinations of factors and levels. | | | By reducing the number of runs, a fractional factorial DOE will not be able to evaluate the impact of some of the factors independently. |
|
http://www.isixsigma.com/dictionary/Fractional_Factorial_DOE-245.htm
(254 words)
|
|
| |
| | [No title] |
| | The simple case in our Factorial problem is Factorial (0) which can be solved with the answer of 1. | | | 1; --i) { product = product * i; } /* Return function result */ return (product); } ¡V Z A X D B & ðH ð @ ð0 “Þ½h ” ¿ ÿ ? ð ÿÿÿ Ì 33Ì ÌÌÿ ²²² î× ï ð ð D ð ð( ð ð D ð0 ¢ ð D ð0 ë’ ¿ ¿ À ÿ ð àð ðK ðÐ ¨ To solve the Factorial problem using recursion (or any other recursive solution) the function must include the following: 1) statements to solve the simple case. | | | The general case contains the logic needed to reduce the size of the problem which would be n * Factorial (n - 1). ¡ S ` ^ — ( h ¦ ¸ 𧠢 ð D £ ð |
|
http://grail.cba.csuohio.edu/~jomalone/Wk15Notes.ppt
(184 words)
|
|
| |
| | Chapter 12 p 1 |
| | Unfortunately, in the traditional approach to ANOVA it is usually the only test that is presented in the source table. | | | Factorial ANOVA: Models with Multiple Categorical Predictors and Product Terms | | | In this chapter we investigate models with two or more categorical predictors. |
|
http://espse.ed.psu.edu/espse/hale/507Mat/Chapt12/Chapt12p1.html
(819 words)
|
|
| |
| | factorial |
| | \* e.g use of functions factorials *\ \* fact(n) = n*(n-1)*....2*1 *\ #include main() { int n, m; printf("Enter a number: "); scanf("%d", andn); m = fact(n); printf("The factorial of %d is %d.\n", n, m); exit(0); } fact(n) int n; { if (n == 0) return(1); return(n * fact(n-1)); } |
|
http://www.cs.cf.ac.uk/Dave/C/section2_22_8.html
(51 words)
|
|
| |
| | factorial |
| | the product of a given positive integer multiplied by all lesser positive integers: The quantity four factorial (4!) = 4 · 3 · 2 · 1 = 24. | | | of or pertaining to a factor or a factory. |
|
http://www.infoplease.com/dictionary/factorial
(54 words)
|
|
|
