By the way, information rate is not a good metric for how "good" a language is. There is much more than just dictionary information, including, specially:
1) sound
Some languages have ugly sounds, like the French "u", and many consonants, like Slavic languages. Other languages have almost exclusively beautiful sounds, and a high amount of vowels, making them ideal for song, such as Italian and to a lesser extent Latin and Spanish.
2) culture
Culture is also fundamental, because it enriches the vocabulary and the possibilities of thought. Languages like Finnish have amazing complexity, but almost no history of great culture. Meanwhile, in languages such as English, French and Italian (and Latin, of course) the amount of great literary works is so high that it completely changes the meaning of the words. For instance, when an English man who wishes his nation to win the World Cup says "My kingdom for the World Cup!" he is not just conveying the information said by those words, but making a complex reference to Shakespeare, which involves lots of implicit information that go from patriotism (Shakespeare being the national author), history (Richard III), as well as info about the context (humoristic -- and possibly ironic, giving that Richard was mad) in which the sentence is said. Same as when an Italian says "nel mezzo del cammin" (reference to Dante) and so on. If your language has little culture, or if most of its culture is derived from another language, which is often the case in small countries, then it is going to miss this crucial aspect. Same thing as when an Englishman uses "thou", or even just in ortography, as when a Portuguese writes "syllogismo" (old Latinate ortography) instead of "silogismo" (modern). All of that is hidden info, which cannot be measured in a simple way.
There are other aspects that matter too. A case system for instance is very useful, as it allows the competent speaker more freedom in choosing the word order, and adds concision.
