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multi factor anova when only one factor is controllable and the others are not

Using an example of baking a crepe cake, assume that there are 3 layers to the cake, with each layer having 3 flavors. The bakery then assigns three bakers, one to each layer. The goal is to ...
Lim Kaizhuo's user avatar
2 votes
2 answers
456 views

Calculating the degrees of freedom

Hi I wonder if there is a standard way to calculate the degrees of freedom. I am having a hard time understanding why these sums of squares has only one degree of freedom. In one-way ANOVA (one ...
wut's user avatar
  • 167
1 vote
0 answers
25 views

How to evaluate the interaction between 3 factors with a single observation in each cell?

Some context: An experiment was conducted to evaluate the interaction between 3 factors in the removal of a contaminant from water. The selected factors were: Coagulant: a chemical substance to ...
Daniel Valencia C.'s user avatar
0 votes
1 answer
151 views

Making sense of an actual equation obtained after Box-Cox transformation

I have recently performed and analysed an experiment and I am currently stuck on making sense of the outcome. Any help would be much appreciated. The experiment consists of a simple DC voltage source ...
Black Box's user avatar
4 votes
3 answers
12k views

Why do I not get a p-value and F value from ANOVA in R?

I am asked to determine using an appropriate test whether the internal concentration of isoleucine is statistically different between appropriate experiments. So I constructed a data frame in R as ...
user310694's user avatar
1 vote
0 answers
34 views

Analysis of variance in a multi-site agricultural field experiment?

I have a dataset on the yield of rice collected from 17 different sites where 3 different fertilizer management methods were tested. However, there were three different rice varieties tested in an ...
DVKNRao's user avatar
  • 11
2 votes
1 answer
49 views

ANOVA and independent samples

Let's say there is an experiment of determining the best cookie recipe with 4 categorical factors. There are $S$ subjects that eat and rate cookies made using $R$ different recipes. There are $R$ ...
firemelon's user avatar
0 votes
0 answers
36 views

analyze / model the difference between experiment and control group

In an experiment with experiment vs control groups, how to train model to explain the different results between experiment and control group (ie, has treatment vs no treatment)? Eg, customer ...
XYZ's user avatar
  • 173
2 votes
1 answer
116 views

Determine the variabilty of the volume given the length, width and height

I am to solve a problem where I am given the mean value, $\mu_i$ and variance, $\sigma^2_i$ where $i\in{L,W,H}$ which represents the Length, Widht and Height related variables respectively. The ...
Cenderze's user avatar
  • 177
2 votes
1 answer
61 views

Questions about Data Analysis [closed]

For my research I'm examining whether applying a certain promotional intervention improves the amount of misshapen products bought. The study contains of two parts. In part 1 Scanner data from ...
Daan's user avatar
  • 29
4 votes
1 answer
704 views

Analyzing clustered (repeated measures) data with very few clusters

What is the most appropriate method for analyzing clustered data (i.e., repeated measurements nested within subjects) when there are very few clusters (e.g., 3 subjects)? Here's a brief description of ...
Carolyn's user avatar
  • 71
1 vote
0 answers
40 views

Variance of effects in $2^kr$ factorial design

I'm working through The Art of Computer Systems Performance Analysis, a statistics book focused on analyzing computer performance, and I don't follow the logic for computing the variation of effects ...
Joe's user avatar
  • 111
1 vote
0 answers
23 views

Adequate statistical method to compare objective measure vs estimations

I am using a software for image recognition to do the following: calculate the percentage of a surface that is painted black. On the other hand, there are several observers that estimate the ...
BlueSea's user avatar
  • 23
3 votes
0 answers
269 views

Two-way ANOVA/GLM for 2x3 incomplete factorial design

I am designing a within-group study with two factors (fixed novelty, levels: old, new; and indexical novelty, levels: veridical, statistical, new; so a 2x3). Now, ideally, I would just cross these ...
GoodGrief's user avatar
3 votes
1 answer
2k views

How to calculate sample size for blocked-design two-way ANOVA?

Does anyone know of a good online calculator or at least a good paper that details how to calculate the needed sample size for a blocked-design two-way ANOVA experiment? I've seen a ton of references ...
user3490622's user avatar
1 vote
0 answers
47 views

What statistical test is needed for this experiment? Is it a simple t-test?

Suppose I have data which is something like the table below, where I measure how an individual does on a task under 4 conditions. So we observe A, B, C, D for a given individual. There are $N$ ...
asd's user avatar
  • 219
1 vote
1 answer
84 views

What statistical test is appropriate for the following experimental design, apart from mixed two-way ANOVA?

We are planning a study of the effectiveness of two therapies for treating depression. Group A will receive the current therapy and group B will receive a new and improved therapy. Participants are ...
Tsvetoslav Ivanov's user avatar
2 votes
1 answer
123 views

experimental design - repeated measures within factor combinations?

Sorry for what might be an obvious question, but I have a question about an experimental design for which I can create a "mouse" analogue: I have 270 mice. I have 2 treatments (factors)-- L ...
alister's user avatar
  • 21
1 vote
0 answers
174 views

How to handle strong ceiling effects in an repeated measurment experiment?

i am trying to analyse some old data. It's an between-within subject experiment with 4 experimental conditions and 2 points of measurment. The question is, if there are differences in effect of the ...
platypus's user avatar
1 vote
3 answers
587 views

ANOVA complete block design, more units per block than treatments

I would like to design a randomized complete block design experiment (RCBD). Let's say I have 3 treatments and 10 logical groupings of my experimental units (EUs) which are the blocks. If each of my ...
Alex's user avatar
  • 497
1 vote
1 answer
75 views

Between-subject design and within-subject anlyses

I have a between-subject design in which there are two groups (A, B) and two conditions (x, y). I ran an ANOVA and found no interaction whatsoever and no significant differences in the two conditions. ...
giorgio-p's user avatar
1 vote
0 answers
224 views

Is it possible to affirm there is pseudoreplication in a design without making assumption on variable importance?

this is quite an abstract question, but I am trying to learn more of the basics in pseudoreplication. Pseudo replication is defined by Hurlbert (1984) as: Pseudoreplication may be defined , in ...
JMenezes's user avatar
  • 539
3 votes
1 answer
55 views

What statistical tests should be performed to test effect of trials on response times where each subject has different number of data-points?

I am running a behavioral experiment where a number of subjects (=20 in my case) perform a simple cognitive task. The experiment consists of a fixed number of trials (say, 40 in my case). During each ...
zoozoo's user avatar
  • 428
1 vote
0 answers
53 views

Is there value in assigning a dimension-specific weighting when calculating the main effect?

I've been looking into factorial designs and noticed an interesting property. Is this simply a mathematical trick or can we attribute some 'meaning' to it? Say we have a $2^k$ design where k = 3 here....
fiz_buz's user avatar
  • 11
1 vote
0 answers
53 views

How to analyze repeated measures when condition changes at each time point?

I have a dataset from a repeated measures experiment that I am trying to analyze. The experiment had 4 possible conditions. Participants were measured on 1 condition and then again on a second ...
jpsiegel's user avatar
1 vote
0 answers
26 views

Best approach for maximising power?

This seems like a relatively very simple question compared to the apparent complexity on this forum. I'm putting my PhD method together, within-subjects experimental design (counter-balanced related ...
MF2020's user avatar
  • 11
3 votes
2 answers
1k views

Randomized Complete Block Design with Replicates

A horticulturalist conducted a nitrogen fertility experiment for lettuce in a randomized complete block design. Five rates of ammonium nitrate treatments (0, 50, 100, 150 and 250 lb/acre) were ...
Chesso's user avatar
  • 443
2 votes
1 answer
480 views

Block-treatment interaction for Randomized Block Design (RCBD) and Generalized Random Block Design (GRBD)

I understand that RCBD experiments usually only contain one observation per cell (block-treatment combination). Also, there should be no interaction between the treatments and blocks. In GRBD, there ...
Fatima A's user avatar
1 vote
0 answers
284 views

How to code a two-way ANOVA with split-plot design using R? [closed]

I am analyzing a split-plot land-use experiment and I am stuck on the R code. We used four sites and on each site the following design: We conducted a full-factorial design with two factors (land-...
Verena's user avatar
  • 11
3 votes
0 answers
95 views

ANOVA/ANCOVA - how to analyse

In a basic research design where you want to test how some intervention (let's say our IV is 'drinking' with the categories water; sprite; and rum) affects some continuous measurement (let's say ...
user272246's user avatar
1 vote
0 answers
58 views

Split plot with RBCD in R: Are inferences valid when output reports some effects are not estimable?

Data are from an agricultural experiment and are the proportion of turnips damaged by cabbage maggot in different insecticide treatments (note preliminary investigation suggested data were ...
bpw's user avatar
  • 11
4 votes
2 answers
786 views

How do I analyze a three factor ANOVA without replication in R?

This summer, I conducted a growth chamber experiment testing the effects of the projected climate change conditions on the growth and survival of newly germinated seedlings of Acadian forest tree ...
Rob's user avatar
  • 41
1 vote
0 answers
39 views

What is the design of this experiment and how do I analyze it? [closed]

I carried out an experiment in two locations. For the two locations, the experimental set up was 95 genotypes of a plant in 3 replicates. For each replicate, I had 3 blocks in which the genotypes were ...
Samuel's user avatar
  • 11
4 votes
1 answer
760 views

Unequal variance in randomized experiments to compare treatment with control?

Consider a randomized experiment to compare (one or more) treatment(s) with a control. Since groups are defined by random assignment, we should expect equal variances for a null-experiment (that is, ...
kjetil b halvorsen's user avatar
0 votes
1 answer
84 views

How to study a fractional factorial design? [closed]

I wonder why a DoE/fractional factorial design isn't studied with the help of a linear mixed model? Or an Anova? How to analyze it in general is e.g. given here. Background: I will study several gas ...
Ben's user avatar
  • 3,493
1 vote
0 answers
106 views

Does ordinal logistic regression substitute for "multifactorial Friedman test"?

I'm searching for an appropriate statistical test, more or less a multifactorial version of Friedman test. But I'm also wondering if Wilcoxons rank sum test can do the job. Experimental design: 10 ...
exin's user avatar
  • 11
2 votes
1 answer
141 views

The Relationship Between Experimental Design and Non-linearity

It's well known that the classical ANOVA (and ANCOVA) experimental design techniques can be expressed as linear regression (with categorical factors). However, linear regression is just that – it ...
av97's user avatar
  • 41
0 votes
1 answer
57 views

I cannot decide which test to use for my experimental design - 2-Way ANOVA?

My experimental design consists of 6 treatments, each of which are measured Before and After a particular application. I want to see if there is any difference between treatments both Before and After ...
Jacob's user avatar
  • 1
1 vote
0 answers
26 views

"Incomplete Design" Problem: 2(between) x 2(within) x 2(within--but only in one between group!)

Problem: I am trying to analyze an experiment with the design in the title: 2(between) x 2(within) x 2(within--but only manipulated in one group) My initial hunch was to run two separate 2 (between)...
KG201's user avatar
  • 31
0 votes
0 answers
343 views

Can you conduct contrast analyses when interaction effect is non-significant?

I ran a 2 (factor A: A1 vs. A2) X 2 (factor B: B1 vs. B2) between-subjects design experiment. I had an a priori prediction that the effect of factor B (i.e. the difference between B1 vs. B2) would ...
PRS_CU24's user avatar
0 votes
0 answers
19 views

Comparing means between 3 different groups across time (given that the 3 groups are defined by 2 factors)

I have 3 different experimental groups: 1) Wild-type, control 2) Transgenic, control 3) Transgenic, Drug-treated Therefore, my groups are defined based on two factors: genotype and drug treatment ...
badran mohamed's user avatar
2 votes
1 answer
33 views

which experimental design better fits?

I test the effect of a plant dose on the abundance of a specific microbe, cultured in glass tube in vitro. The treatment consist of 5 doses (0, 1, 2, 3, 4). Each culture tube receives one of the dose ...
Ayemele Aurele's user avatar
0 votes
0 answers
23 views

Interpreting ANOVA results in the educational context

I have run an experiment in a six-week course to measure the effect of my educational treatment on student engagement. The treatment happens on weeks 4 and 6 of the course (for all of the students) ...
Hamideh's user avatar
  • 217
2 votes
0 answers
555 views

4 x 4 x 4 Factorial Design or 4 x 4 Factorial with Blocking?

Problem here: https://i.sstatic.net/eIzLh.jpg I was thinking that this problem might just be a 3-factor factorial design, since obviously the ad campaign and packaging are factors (we're interested ...
Alfred Lugtu's user avatar
5 votes
1 answer
455 views

Randomized Block Design Models

I have been asked to fit the following models in R: The models are based on this data: I know the mediums are the blocks and the units of the active ingredient are the treatments. I understand how ...
Lauren's user avatar
  • 63
2 votes
1 answer
531 views

ANOVA with Error term

I am looking for help to create a model for the following data: I'd like to understand if the abundance of a certain microbial group (dependent continuous variable QUANTITY) found in soils is been ...
Biomol's user avatar
  • 23
0 votes
2 answers
204 views

Multiple comparison problem

If I conduct 19 tests (e.g. 19 pairwise comparisons of treatment means in an experiment), what is the probability that I will find at least one P value < 0.05 due to chance alone? With number of ...
JSmith's user avatar
  • 1
1 vote
1 answer
75 views

Factor importance in multivariate experiment

I'm trying to analyze a multivariate experiment and show impact of each factor in a multivariate experiment. The general way to do this analysis would be to perform ANOVA: ...
Grega Kešpret's user avatar
1 vote
1 answer
165 views

When to use blocks?

I am currently studying Random Complete Block Designs (RCBD) and I would like to ask a question. I cam across an example where we were able to conclude with the RCBD as significant, but regular ANOVA ...
hyg17's user avatar
  • 113
1 vote
2 answers
2k views

Split split plot ANOVA table: r = replicate or block?

I have seen various ANOVA tables for analysis of split split plot designs, and some have the first term ''r'' defined as the block while others have it as the replicate. This is confusing to me, as ...
Hannah's user avatar
  • 11