How to calculate mean-square deviation?

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Marcella Ward
Marcella Ward 2016-12-1
回答： Star Strider 2016-12-1
I have the following code, which animates a particle. I need to figure out how to calculate the mean-square deviation within my code. So, I need to calculate the difference between (X1-X0)^2, (X2-X1)^2 and so on for each iteration. In the end, I need to average everything: ∑((X2-X1)^2)÷199. How do I incorporate this into my existing code?
numMove = 200;
x_List = zeros(numMove,1);
y_List = zeros(numMove,1);
% make fig. & start loop
figure,
for t = 2:numMove
% add rand val between -1 and 1 to previous vals
% save as new x & y coordinates
x_List(t) = x_List(t-1) + 2*(rand()-0.3);
y_List(t) = y_List(t-1) + 2*(rand()-0.3);
%clear data currently on plot
% animate particle
cla
plot(x_List(1:t),y_List(1:t),'-r')
plot(x_List(t),y_List(t),'ob','linewidth',8)
axis([-20 20 -20 20])
% particle speed
pause(0.02)
end

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回答（1 个）

Star Strider
Star Strider 2016-12-1
I’m not certain how ‘X0’, ‘X1’ and such relate to your code.
Here are a couple possibilities:
dxydt = diff([x_List, y_List]); % Take Differences Between Coonsecutive Values
mean_sqr_diff = mean(dxydt.^2); % Mean Of Squared Differences
mean_hypot = mean(hypot(x_List, y_List)); % Mean Of Distances

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