This is easily grasped with a 2d example, despite the fact that PCA makes no sense with only two variables.
217 karma · joined January 2, 2011
This is easily grasped with a 2d example, despite the fact that PCA makes no sense with only two variables.
PCA is a form of (or at least related to) correlation. With standardization the resulting transformation hihlights variables in the original data that are most highly correlated. Without standardization you're visualizing covariation. Unlike correlation, covariation is influenced by the magnitude of the variables.
By standardizing, you control for differences in the magnitude of the variables, and focus on their inherent variation instead.
That's not how I'd explain it. The 'sought result' and its reflection are not two different things. They are the same thing, differing only in a trivial detail of orientation. The 'negative' of the result conveys exactly the same information as the result.
Which is not to say there is a perfect solution. But just about any of the alternatives would be better than the US system.
I lived in the US for two years, and I never understood the aversion to government healthcare. The Canadian system is far from perfect, and I know there are failures. But it's still a lot better than soliciting for online charity on a case by case basis.
I'm impressed and humbled that it worked in this case. Just a little disturbed that it was necessary at all.
This happens once, and you can make it a teachable moment. But when the scenario starts to repeat itself it undermines the effort you're putting into teaching real science.
1 people think hybrids are sterile, but they're not 2 people think hybrids don't occur in nature, but they do 3 people think only plants hybridize, but animals do to
From this basis, he concludes that a chimp-pig hybrid is plausible, and proceeds to lay out his theory.
The problem is the three facts he starts with are trivial compared to the obstacles raised by PZ Meyer. To take just one, there is the difference in chromosome number. In most cases, if a human ends up with the wrong number of chromosomes, it's a lethal condition. Or you end up with Down's syndrome. With one extra chromosome. The hybrid this guy posits has a dad with 38 chromosomes and a mom with 48.
I could argue that that's not a big deal. In the plant groups I study stranger things happen. But that's in plants. Primates, as I understand it, are much more sensitive to chromosomal abnormalities.
There are many logical, evidential reasons to discount this hypothesis. Again, check out the pz meyer post linked elsewhere. Claiming I don't understand evolution because "given enough tries anything is possible" is facile. Of course anything is possible. But what is probable here?
I taught evolution for undergrads, and occasionally had to deal with these issues from students. It takes time to look into them, and no matter how thoroughly debunked the theory, some kids find them too irresistible to let go of. It undermines real education in the end.
So to hear that, on a hunch, a judge can give a newborn to a couple that had expressed no previous interest in having kids, wtf. It's a nice story, and I'm glad that it worked out so well for everyone. But for me it really underlines how fucked up the system really is.
I think that says more about you than the state of modern musicians. There will always be 'real musicians', motivated by their love of the art. Whether or not we can find them depends on how willing we are to dig past the shallow acts that top the charts.
The same holds in two dimensions. Show me all the data, and include a regression line or a spline to highlight a trend. Only start hiding information when the scatterplot becomes misleading. That is, when overplotting prevents me from accurately assessing the actual distribution of the points.
Jumping immediately to a density plot also restricts me to your interpretation. The original data is lost. With a scatterplot, the raw data can be recovered from the plot, so i can do my own analysis should i be interested. This is common in meta-analyses that extract data from multiple published papers. If those original papers had used density plots instead of scatterplots, reanalysis will require direct access to the underlying data. Once the original author dies, or loses the data, all further use of the data is lost.
That may be true, but is it better? Does the scatterplot underemphasize differen densities, or does the density plot overemphasize them? I think the scatterplot is more intuitive. There are 21 equal steps between 0 and 100% black. Two points are twice as dark as one, four points are twice as dark as two. Darker means more, lighter means less.
Compare that to shifting from blue to red. Does the shift from orange to red indicate the same density difference as the shift from blue to orange? To decide you need to consult the color scale. The scatterplot is intuitive, and requires no scale.
> The hexbin has lower spatial resolution, it's true, but I'd argue that the spatial resolution you get in a scatterplot is illusory. It doesn't reflect the underlying probability distribution, only the particular sample.
The spatial resolution of a scatterplot represents empirical reality. Each point corresponds to a single observation, with no probability distribution implied or imposed. The density plot, in contrast, imposes a probability distribution, which may or may not reflect the true distribution of the population. The larger the bins, the more likely the displayed pattern is 'illusory'.
This is an example of bad plotting practice, not a bad plotting method. That said, eyeballing a plot is a weak way to analyze data this dense. That's what statistics are for.
I haven't read a lisp style guide, Emacs just takes care of indentation - it is immediately clear when a paren is wrong because the shape of the function is wrong. If you are writing lisp with an editor that doesn't do this, get a better editor, don't blame the language.
In my experience, as someone who completed a Phd after a few years working, phds often have richer real-life experience than the 'average' person, and almost always richer than the common stereotype inferred in the comment i responded too.
How is it anything but anti-intellectual to say that having too much expertise makes one a less capable leader?
Busybox is the exception. The SFC actively enforces the license for busybox. In addition, once you lose your right to use busybox as a consequence of a license violation, the SFL will let you ship it again only if you come into compliance on for all of the GPL code you ship.
So they are making their own busybox as a way to continue to violate all the non-busybox GPL code they use.
If you comply with the busybox licence, you can continue to violate the licence on all the other GPL code. But violating busybox means you have to comply with all of your GPL code.
You never have to release your non GPL code.
Simple inheritance is categorically different. Your inheriting money from your family has no negative impact on others. But if you inherit an intellectual monopoly, it is taking something away from the public good for no benefit. That may be acceptable for a reasonably limited term. But how anyone can imagine a copyright term that extends across multiple generations is reasonable is beyond me.
This is the problem, I think. If a product requires investors, then I can accept that their interests should be looked after. Not for the ridiculous term that copyright currently allows, but it is reasonable that their protection should not be strictly limited to the life of the author.
However, the current system goes to great lengths to protect the interests of people merely because they have something to gain, not because they actively contributed anything. If I make cars for a living, I don't expect or demand that my children continue to receive a royalty for each mile driven in one of my cars after i die (or just retire). They are taken care of through my estate, insurance etc, not by perverting the market.
I don't think author's children are inherently more deserving of social protections than anyone else. Jk Rowling's kids would be just fine if copyright lasted only twenty years. If they want a secure income after that, they should be able to do some productive work of their own.