So factor is a special type of vector, which is used to create, to represent categorical data. So, and there's two types of factor, there is unordered or ordered, so you can think of this as being, as storing data that are. Have labels that are categorical but have no ordering, so for example male and female. Or you can have ordered factors which might represent things that are ranked. So they have an order but they're not numerical for example you know, in many universities you'll have assistant professors, associates professors, and full professors. Those are categorical but they're ordered. So one, you can think of a factor as an integer vector where each integer has a label. So for example, you might, you can think of it as a vector as one two three, where one represents you know, high, for example high value and two represents a medium value and three represents a low value. So you might have a, a variable that's called high, medium and low. And underlying in R is represented by the numbers one, two, and three. so, factors are important because they're treated specially by modeling functions like lm and glm which we'll talk about later. But these are functions for, for, for fitting linear models. And factors are with labels generally speaking are better than using simple integer vectors because the factors are, what are called self describing. So having a variable that has values male and female is more descriptive than having a variable that just, that just has ones and twos. So for example, in many data sets you'll find that a var, there will be a variable that's coded as one and two and it's, and it's not. Easy to know whether that variable is really a numeric variable that only takes values one and two, but the problem is that's not something that's coded in the data set, so it's hard to tell. If you use a factor variable then the coding for the labels is all, is kind of built into the variable and it's much easier to understand. So factors can be created with the factor function, and the input into the factor function is a character vector. So here, I'm just creating a simple factor with the which has what, two levels, and the levels are yes and no. And so x is a factor, you can see what, it prints out a little bit differently from a character vector, in the sense that it prints up the value, yes, yes, no, yes, no. And then it has a separate attribute which is called the levels. And so the levels of this factor are no and yes, okay. So there's only two levels. I can, I can call table on this factor and it will give me a frequency count of how many of each level there are. So for example, it'll tell me there are two nodes. And there's three yeses. Now, the un-class function strips out the class for fa, for a vector. So for example, I can, if I call un-class on x it'll, it'll kind of bring it down to an integer vector, and you can see that underlying. The factors represent as 22121 so, yes, it's coded as two and no, it's coded as one. Now it's not really essential for you to know this because you can just treat the factor as being a vector of yeses and nos but it's used sometimes it's it's useful just to know under, underneath kind of how factors are represented by R. And so you see, it's really an integer vector with the attribute, the levels attribute of no and yes. The order of the levels in the factor, can be set using the levels argument in factors. So for ex, and sometimes this is important because in modeling functions and when you include a factor variable this, this, sometimes it's important to know what the baseline level is. And so the baseline level is just the first level in the factor, and the way this is determined by NR is critical. It's determined using alphabetical order, so for example, if I create a factor variable. With the, with the elements yes and no, then the base line level with be the first level that's encountered and because no comes before yes in the alphabet then no will be the base line level and yes will be the second level. Now this may not be something that you want you might want for example a yes to be the base line level and no to be the second level and then in that case you have explicitly tell r. That yes is going to be the first level and you can view that using the levels argument to the factor function. So now when I print out the x object you see that the elements are still the same, still yes yes no, yes no. But the levels attribute is reversed. because yes is the first level and no is the second level.