Part I 1. How many independent variables are in a 4X6 factorial design? How many conditions are in this design? There are 4 and 6 independent variables, and 24 conditions for this design. 2. What is the difference between a cell mean and the means used to interpret a main effect? The main effect is used to interpret the differences in means over levels of one factor collapsed over levels of the other factor (Jackson, 2012). However, the cell mean is used to interpret is used with models that include
Permutation of Letters EMMA is investigating the amount of different arrangements of letters in her name; she does the same with her friend LUCY. LUCY has twice as many arrangements as EMMA, they are curious as to why this is and decide to investigate other names and find reasons for their answers. EMMA - emma, eamm, emam, aemm, amme, amem, meam, maem, mame, mema, mmea, mmea, LUCY - lucy, luyc, lycu, lyuc, lcyu, lcuy, ulcy, ulyc, uylc,
Emma's Dilemma In my investigation I am going to investigate the number of different arrangements of letters for names and words and try to find a formula that can be used to predict this. For example: TOM is one arrangement and OTM is another arrangement First, I am going to investigate the number of different arrangements of letters for the name LUCY (a 4-letter name, where all the letters are different). LUCY ULCY CLUY YLUC LUYC ULYC CLYU YLCU LCUY UCLY CULY YULC LCYU
Permutations of a Four Letter Word In this piece of coursework my initial aim is to investigate how many different combinations there are for four letters (e.g. ABCD), I also intend to develop this to investigate the way in which by altering the letters to form other kinds of combinations (e.g. ABCC or AAB) the number is affected. Once I have found the general formulae, I will apply these to harder situations and this is what I am aiming to do. I am trying to find the general formulae which
I understand you are taking a college course in mathematics and studying permutations and combinations. Permutations and Combinations date back through the ages. According to Thomas & Pirnot (2014), there is evidence of these mathematical concepts as early as AD 200. As we solve some problems you will see why understanding these concepts is important especially when dealing with large values. I also understand you are having problems understanding their subtle differences, corresponding formulas
Permutations of Letters Experiment 1. Investigate the number of different permutations of the letters of the name Emma. I am trying to find the maximum number of possible permutations of the name EMMA. This name has four letters but only three variable letters E, M and A. Permutations: EMMA MMAE AEMM EMAM MMEA AMEM EAMM MAME AMME MAEM MEMA MEAM This shows us that there are twelve possible permutations of the letters of the name EMMA. Emma has a friend called Lucy
This multi-factorial condition is associated with increased risk of other conditions, such as hypertension, type 2 diabetes and cardiovascular disease (Slentz et al., 2004). In 2005, the overall costs of obesity were $56.6 billion in Australia (Colagiuri et al. 2010). By eradicating obesity, not only would the economic burden on the healthcare system become significantly reduced, but the prevalence of these debilitating conditions would also decline. Anti-obesity drugs can be used to ensure sustainable
of paper ... ... would need 2 × 34 = 162 observations to be able to fully explore the parameter space. Due to this “combinatorial explosion”, it is more common in scientific and industrial practice is to use a fractional-factorial experiment (FFE). 1.5 Fractional Factorial Designs and Orthogonal Arrays Despite conveying less information than an FFD, it is possible for an FFE to capture a large amount of the variation in the data with fewer experimental trials. The justification for using FFE's
The experiment used a 2X2 between-subjects factorial design. The first independent variable is the type of video (violent/nonviolent) the participants will be watching. The type of video was either violent or non-violent. Violent is defined as physical harm or force where someone is getting hurt. For example, the violent video involved an armed robbery at a convenience store where the perpetrator had a weapon and physically harmed the clerk at the convenience store. Nonviolent is defined as no physical
1. Introduction Design variables are important to be conducted the appropriate experiment analyzing and getting the accurate values for integer, discrete, zero-one (binary), and continuous variables. The researchers should classify design factors before the experiment is conducted. In literature, there are several factors such as quantitative, qualitative, discrete, continuous, zero-one (binary), non-zero-one (non-binary), controlled and uncontrolled variables (Sanchez & Wan, 2009). Quantitative
Total number of letters: 4 -------------------------- Previous number of combinations: 6 4 X 6 = 24 This means that I can work out the total number of combination by factorial notation. Factorial notation is a number multiplied by the previous consecutive numbers: E.g. 5! = 5 x 4 x 3 x 2 x 1 5! = 120. Factorial notation is symbolised using an exclamation mark! I realised this is because if I could find the total number of
Fraction Differences First Sequence To begin with I looked at the first sequence of fractions to discover the formula that explained it. As all the numerators were 1 I looked at the denominators. As these all increased by 1 every time, I figured that the formula was simply [IMAGE] as the denominators corresponded to the implied first line as shown in this table below: nth number 1 2 3 4 5 6 7 8 Denominators 1 2 3 4 5 6 7 8 I shall
regression and path analysis. Research questions addressing degree of relationship all have quantitative variables. Methods that examine the significance of group differences are t test, one-way and factorial ANOVA, one-way and factorial ANCOVA, one- way and factorial MANOVA, and one-way and factorial MANCOVA. Research questions that address group differences have categorical IVs. Statistical tests that predict group membership are discriminate analysis and logistic regression. Research questions
(1997) presents a study with 338 patients diagnosed with major depressive disorder according to the DSM-III. The paper determined 2- and 3-factorial structures of BDI. The two –factorial structure could be summerised as one factor representing cognitive/psychological dimension and a second factor elaborating on somatic/vegetative aspect. Consequently a three factorial structure emerges where the factors are respectively ‘Anhedonia/Inhibition’ which measures mood, somatic inhibition, etc; the second factor
do 3 (the length of the word) x 2 = 6, the number of different arrangements. In a 4 letter word, to work out the amount of different arrangements you can do 4 x 3 x 2 = 24, or you can do 4!, which is called 4 factorial which is the same as 4 x 3 x 2. So, by using factorial (!) I can predict that there will be 40320 different arrangements for an 8 letter word. The formula for this is: n! = a
computations. In sum, one has to weight the simplicity of the code delivered by recursion against its drawbacks as described above. When a relatively simple iterative solution is possible, it is definitely a better alternative In recursion factorial we must ensure that factorial is never ever called with a negative N. Recursion method less efficient. Recursive version is shorter, clearer and slower. Recursion offers more elegant solutions. Use recursion for clarity and for a reduction in the time
The planning that occurs behind educational research is an intricate process thus in addition to establishing a research problem and purpose and reviewing literature, inquirers must determine the best experimental design that fits their needs. Even though experiments may share characteristics, “their use and application vary depending on the type of design used” (Creswell, 2008, p. 310). Therefore understanding the types of experimental designs commonly used to inquiry about educational thematic
Math IA - The Birthday Paradox “What is the probability that at least 2 people in a room of 30 random people will have the same birthday?” Probability is always surrounding us from stock markets to the ever-simple heads or tails. This very complicated area of mathematics can be explained in a simpler way. It is how likely an event is to happen. The probability of an event will always be between 0 and 1. The closer it is to one, the more likely the event is to happen. I chose this topic because when
Investigating Different Arrangements of Letters of Words I will be investigating the different arrangements of letters of words, which don't have any identical letters in them and those that do. Then I will try and find a formula that can calculate the total arrangements of letters of any word, which does not have any identical letters in it. I will also try and find a formula to find the total arrangements of words, which have some identical letters in them. Firstly I will look at those
conducted to prove the two hypotheses, person’s theory of crime or causal attribution will influence punitiveness and that criminology and sociology majors will be more punitive than non-majors. However, after running a Spearman correlation and a factorial ANOVA, the tests failed to find support for both of the research hypotheses. The only variable that showed significance was labeling theory; which was one of the theories inside the causal attributions. For any future studies within the topic of