According to http://en.wikipedia.org/wiki/Tensor#Tensor_fields,
$\hat{T}^{i_1\dots i_n}_{i_{n+1}\dots i_m}(\bar{x}_1,\ldots,\bar{x}_k) = \frac{\partial \bar{x}^{i_1}}{\partial x^{j_1}} \cdots \frac{\partial \bar{x}^{i_n}}{\partial x^{j_n}} \frac{\partial x^{j_{n+1}}}{\partial \bar{x}^{i_{n+1}}} \cdots \frac{\partial x^{j_m}}{\partial \bar{x}^{i_m}} T^{j_1\dots j_n}_{j_{n+1}\dots j_m}(x_1,\ldots,x_k).$
so, according to this, the upper indice seems to indicate contravariant and the lower indice seems to indicate covariant.
However, according to http://en.wikipedia.org/wiki/Tensor#As_multilinear_maps,
$T^{i_1\dots i_n}_{j_1\dots j_m} \equiv T(\mathbf{\varepsilon}^{i_1},\ldots,\mathbf{\varepsilon}^{i_n},\mathbf{e}_{j_1},\ldots,\mathbf{e}_{j_m})$
This seems to indicate the upper indice of tensor refers to covariant, while the lower indice indicates contravariant.
What is wrong with my knowledge?