Comparisons in Japanese より

You only need to know one word to be able to compare: Yori, より. Which means, "more than".

Lets look at a sentence example:

I am stronger than her.

私 は彼女より強いです。
わたしはかのじょよりつよいです。
Watashi ha Kanojo yori Tsuyoi desu.

1) First, you state your subject. Whoever or whatever is "more than" something.

私は
わたしは
Watashi ha
I am
は-ha is a descriptive particle.
２）Then, you state the "weaker" subject followed by "yori, より".

彼女より
かのじょより
kanojo yori 
Her     more than
More than her.

3) Then you state the adjective. Then end it with "desu, です" (remember to pronounce it as "Dess".

強いです。 
つよいです。
Tsuyoi desu. 
Is strong.
(!) notice how there's no "er" as in "stronger" in Japanese.
(!) the adjective doesn't change forms because "より" literally means "more than".
All of this combines to be:

私（わたし）は I am
彼女（かのじょ）より more than her
強（つよ）いです is strong
I am stronger than her.
Follow this formula and you can practically compare anything in Japanese!

Other examples would be:
1)　　
私は台湾より日本に行きたい。
わたしは　たいわにょり　          にほんに　  いきたい。
I           more than taiwan   to Japan   want to go.
I want to go to Japan more than Taiwan.　　　　
2)
この石はあの石より小さいです。
このいしは　    あのいしより　             ちいさいです。
This rock is   more than that rock   small.
This rock is smaller than that rock.
If something isn't clear, please tell me! Write in the comments or go to the forums!